Updated more matlab examples
parent
080dd7d57c
commit
62f28bb798
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@ -55,7 +55,7 @@ import gtsam.*
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cla;
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cla;
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hold on;
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hold on;
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plot2DTrajectory(result, Marginals(graph, result));
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plot2DTrajectory(result, [], Marginals(graph, result));
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axis([-0.6 4.8 -1 1])
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axis([-0.6 4.8 -1 1])
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axis equal
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axis equal
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@ -52,7 +52,7 @@ import gtsam.*
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cla;
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cla;
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hold on;
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hold on;
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plot2DTrajectory(result, Marginals(graph, result));
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plot2DTrajectory(result, [], Marginals(graph, result));
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axis([-0.6 4.8 -1 1])
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axis([-0.6 4.8 -1 1])
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axis equal
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axis equal
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@ -25,72 +25,59 @@ i1 = symbol('x',1); i2 = symbol('x',2); i3 = symbol('x',3);
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j1 = symbol('l',1); j2 = symbol('l',2);
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j1 = symbol('l',1); j2 = symbol('l',2);
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%% Create graph container and add factors to it
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%% Create graph container and add factors to it
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graph = planarSLAM.Graph;
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graph = gtsam.NonlinearFactorGraph;
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%% Add prior
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%% Add prior
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import gtsam.*
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import gtsam.*
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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graph.addPosePrior(i1, priorMean, priorNoise); % add directly to graph
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graph.add(PriorFactorPose2(i1, priorMean, priorNoise)); % add directly to graph
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%% Add odometry
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%% Add odometry
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import gtsam.*
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import gtsam.*
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odometry = Pose2(2.0, 0.0, 0.0);
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odometry = Pose2(2.0, 0.0, 0.0);
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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graph.addRelativePose(i1, i2, odometry, odometryNoise);
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graph.add(BetweenFactorPose2(i1, i2, odometry, odometryNoise));
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graph.addRelativePose(i2, i3, odometry, odometryNoise);
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graph.add(BetweenFactorPose2(i2, i3, odometry, odometryNoise));
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%% Add bearing/range measurement factors
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%% Add bearing/range measurement factors
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import gtsam.*
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import gtsam.*
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degrees = pi/180;
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degrees = pi/180;
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brNoise = noiseModel.Diagonal.Sigmas([0.1; 0.2]);
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brNoise = noiseModel.Diagonal.Sigmas([0.1; 0.2]);
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graph.addBearingRange(i1, j1, Rot2(45*degrees), sqrt(4+4), brNoise);
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graph.add(BearingRangeFactor2D(i1, j1, Rot2(45*degrees), sqrt(4+4), brNoise));
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graph.addBearingRange(i2, j1, Rot2(90*degrees), 2, brNoise);
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graph.add(BearingRangeFactor2D(i2, j1, Rot2(90*degrees), 2, brNoise));
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graph.addBearingRange(i3, j2, Rot2(90*degrees), 2, brNoise);
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graph.add(BearingRangeFactor2D(i3, j2, Rot2(90*degrees), 2, brNoise));
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% print
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% print
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graph.print(sprintf('\nFull graph:\n'));
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graph.print(sprintf('\nFull graph:\n'));
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%% Initialize to noisy points
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%% Initialize to noisy points
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import gtsam.*
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import gtsam.*
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initialEstimate = planarSLAM.Values;
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initialEstimate = Values;
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initialEstimate.insertPose(i1, Pose2(0.5, 0.0, 0.2));
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initialEstimate.insert(i1, Pose2(0.5, 0.0, 0.2));
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initialEstimate.insertPose(i2, Pose2(2.3, 0.1,-0.2));
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initialEstimate.insert(i2, Pose2(2.3, 0.1,-0.2));
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initialEstimate.insertPose(i3, Pose2(4.1, 0.1, 0.1));
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initialEstimate.insert(i3, Pose2(4.1, 0.1, 0.1));
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initialEstimate.insertPoint(j1, Point2(1.8, 2.1));
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initialEstimate.insert(j1, Point2(1.8, 2.1));
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initialEstimate.insertPoint(j2, Point2(4.1, 1.8));
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initialEstimate.insert(j2, Point2(4.1, 1.8));
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initialEstimate.print(sprintf('\nInitial estimate:\n'));
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initialEstimate.print(sprintf('\nInitial estimate:\n'));
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%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
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%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
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result = graph.optimize(initialEstimate,1);
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optimizer = LevenbergMarquardtOptimizer(graph, initialEstimate);
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result = optimizer.optimizeSafely();
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result.print(sprintf('\nFinal result:\n'));
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result.print(sprintf('\nFinal result:\n'));
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%% Plot Covariance Ellipses
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%% Plot Covariance Ellipses
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import gtsam.*
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import gtsam.*
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cla;hold on
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cla;hold on
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marginals = graph.marginals(result);
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for i=1:3
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marginals = Marginals(graph, result);
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key = symbol('x',i);
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plot2DTrajectory(result, [], marginals);
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pose{i} = result.pose(key);
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plot2DPoints(result, marginals);
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P{i}=marginals.marginalCovariance(key);
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if i>1
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plot([result.at(i1).x; result.at(j1).x],[result.at(i1).y; result.at(j1).y], 'c-');
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plot([pose{i-1}.x;pose{i}.x],[pose{i-1}.y;pose{i}.y],'r-');
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plot([result.at(i2).x; result.at(j1).x],[result.at(i2).y; result.at(j1).y], 'c-');
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end
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plot([result.at(i3).x; result.at(j2).x],[result.at(i3).y; result.at(j2).y], 'c-');
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end
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for i=1:3
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plotPose2(pose{i},'g',P{i})
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end
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point = {};
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for j=1:2
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key = symbol('l',j);
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point{j} = result.point(key);
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Q{j}=marginals.marginalCovariance(key);
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plotPoint2(point{j},'b',Q{j})
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end
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plot([pose{1}.x;point{1}.x],[pose{1}.y;point{1}.y],'c-');
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plot([pose{2}.x;point{1}.x],[pose{2}.y;point{1}.y],'c-');
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plot([pose{3}.x;point{2}.x],[pose{3}.y;point{2}.y],'c-');
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axis([-0.6 4.8 -1 1])
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axis([-0.6 4.8 -1 1])
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axis equal
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axis equal
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view(2)
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view(2)
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@ -14,14 +14,14 @@
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%% Create the same factor graph as in PlanarSLAMExample
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%% Create the same factor graph as in PlanarSLAMExample
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import gtsam.*
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import gtsam.*
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i1 = symbol('x',1); i2 = symbol('x',2); i3 = symbol('x',3);
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i1 = symbol('x',1); i2 = symbol('x',2); i3 = symbol('x',3);
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graph = planarSLAM.Graph;
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graph = NonlinearFactorGraph;
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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graph.addPosePrior(i1, priorMean, priorNoise); % add directly to graph
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graph.add(PriorFactorPose2(i1, priorMean, priorNoise)); % add directly to graph
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odometry = Pose2(2.0, 0.0, 0.0);
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odometry = Pose2(2.0, 0.0, 0.0);
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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graph.addRelativePose(i1, i2, odometry, odometryNoise);
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graph.add(BetweenFactorPose2(i1, i2, odometry, odometryNoise));
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graph.addRelativePose(i2, i3, odometry, odometryNoise);
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graph.add(BetweenFactorPose2(i2, i3, odometry, odometryNoise));
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%% Except, for measurements we offer a choice
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%% Except, for measurements we offer a choice
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import gtsam.*
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import gtsam.*
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@ -29,48 +29,41 @@ j1 = symbol('l',1); j2 = symbol('l',2);
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degrees = pi/180;
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degrees = pi/180;
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brNoise = noiseModel.Diagonal.Sigmas([0.1; 0.2]);
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brNoise = noiseModel.Diagonal.Sigmas([0.1; 0.2]);
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if 1
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if 1
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graph.addBearingRange(i1, j1, Rot2(45*degrees), sqrt(4+4), brNoise);
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graph.add(BearingRangeFactor2D(i1, j1, Rot2(45*degrees), sqrt(4+4), brNoise));
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graph.addBearingRange(i2, j1, Rot2(90*degrees), 2, brNoise);
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graph.add(BearingRangeFactor2D(i2, j1, Rot2(90*degrees), 2, brNoise));
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else
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else
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bearingModel = noiseModel.Diagonal.Sigmas(0.1);
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bearingModel = noiseModel.Diagonal.Sigmas(0.1);
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graph.addBearing(i1, j1, Rot2(45*degrees), bearingModel);
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graph.add(BearingFactor2D(i1, j1, Rot2(45*degrees), bearingModel));
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graph.addBearing(i2, j1, Rot2(90*degrees), bearingModel);
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graph.add(BearingFactor2D(i2, j1, Rot2(90*degrees), bearingModel));
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end
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end
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graph.addBearingRange(i3, j2, Rot2(90*degrees), 2, brNoise);
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graph.add(BearingRangeFactor2D(i3, j2, Rot2(90*degrees), 2, brNoise));
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%% Initialize MCMC sampler with ground truth
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%% Initialize MCMC sampler with ground truth
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sample = planarSLAM.Values;
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sample = Values;
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sample.insertPose(i1, Pose2(0,0,0));
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sample.insert(i1, Pose2(0,0,0));
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sample.insertPose(i2, Pose2(2,0,0));
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sample.insert(i2, Pose2(2,0,0));
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sample.insertPose(i3, Pose2(4,0,0));
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sample.insert(i3, Pose2(4,0,0));
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sample.insertPoint(j1, Point2(2,2));
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sample.insert(j1, Point2(2,2));
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sample.insertPoint(j2, Point2(4,2));
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sample.insert(j2, Point2(4,2));
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%% Calculate and plot Covariance Ellipses
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%% Calculate and plot Covariance Ellipses
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figure(1);clf;hold on
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cla;hold on
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marginals = graph.marginals(sample);
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marginals = Marginals(graph, sample);
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for i=1:3
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key = symbol('x',i);
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plot2DTrajectory(sample, [], marginals);
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pose{i} = sample.pose(key);
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plot2DPoints(sample, marginals);
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P{i}=marginals.marginalCovariance(key);
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if i>1
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plot([pose{i-1}.x;pose{i}.x],[pose{i-1}.y;pose{i}.y],'r-');
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end
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end
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for i=1:3
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plotPose2(pose{i},'g',P{i})
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end
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for j=1:2
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for j=1:2
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key = symbol('l',j);
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key = symbol('l',j);
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point{j} = sample.point(key);
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point{j} = sample.at(key);
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Q{j}=marginals.marginalCovariance(key);
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Q{j}=marginals.marginalCovariance(key);
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S{j}=chol(Q{j}); % for sampling
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S{j}=chol(Q{j}); % for sampling
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plotPoint2(point{j},'b',Q{j})
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end
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end
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plot([pose{1}.x;point{1}.x],[pose{1}.y;point{1}.y],'c-');
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plot([pose{2}.x;point{1}.x],[pose{2}.y;point{1}.y],'c-');
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plot([sample.at(i1).x; sample.at(j1).x],[sample.at(i1).y; sample.at(j1).y], 'c-');
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plot([pose{3}.x;point{2}.x],[pose{3}.y;point{2}.y],'c-');
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plot([sample.at(i2).x; sample.at(j1).x],[sample.at(i2).y; sample.at(j1).y], 'c-');
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axis equal
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plot([sample.at(i3).x; sample.at(j2).x],[sample.at(i3).y; sample.at(j2).y], 'c-');
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view(2); axis auto; axis equal
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%% Do Sampling on point 2
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%% Do Sampling on point 2
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N=1000;
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N=1000;
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@ -19,58 +19,55 @@
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% - The robot is on a grid, moving 2 meters each step
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% - The robot is on a grid, moving 2 meters each step
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%% Create graph container and add factors to it
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%% Create graph container and add factors to it
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graph = pose2SLAM.Graph;
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graph = NonlinearFactorGraph;
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%% Add prior
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%% Add prior
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import gtsam.*
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import gtsam.*
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% gaussian for prior
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% gaussian for prior
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
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graph.addPosePrior(1, priorMean, priorNoise); % add directly to graph
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graph.add(PriorFactorPose2(1, priorMean, priorNoise)); % add directly to graph
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%% Add odometry
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%% Add odometry
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import gtsam.*
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import gtsam.*
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% general noisemodel for odometry
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% general noisemodel for odometry
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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graph.addRelativePose(1, 2, Pose2(2.0, 0.0, 0.0 ), odometryNoise);
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graph.add(BetweenFactorPose2(1, 2, Pose2(2.0, 0.0, 0.0 ), odometryNoise));
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graph.addRelativePose(2, 3, Pose2(2.0, 0.0, pi/2), odometryNoise);
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graph.add(BetweenFactorPose2(2, 3, Pose2(2.0, 0.0, pi/2), odometryNoise));
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graph.addRelativePose(3, 4, Pose2(2.0, 0.0, pi/2), odometryNoise);
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graph.add(BetweenFactorPose2(3, 4, Pose2(2.0, 0.0, pi/2), odometryNoise));
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graph.addRelativePose(4, 5, Pose2(2.0, 0.0, pi/2), odometryNoise);
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graph.add(BetweenFactorPose2(4, 5, Pose2(2.0, 0.0, pi/2), odometryNoise));
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%% Add pose constraint
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%% Add pose constraint
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import gtsam.*
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import gtsam.*
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model = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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model = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
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graph.addRelativePose(5, 2, Pose2(2.0, 0.0, pi/2), model);
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graph.add(BetweenFactorPose2(5, 2, Pose2(2.0, 0.0, pi/2), model));
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% print
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% print
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graph.print(sprintf('\nFactor graph:\n'));
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graph.print(sprintf('\nFactor graph:\n'));
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%% Initialize to noisy points
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%% Initialize to noisy points
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import gtsam.*
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import gtsam.*
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initialEstimate = pose2SLAM.Values;
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initialEstimate = Values;
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initialEstimate.insertPose(1, Pose2(0.5, 0.0, 0.2 ));
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initialEstimate.insert(1, Pose2(0.5, 0.0, 0.2 ));
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initialEstimate.insertPose(2, Pose2(2.3, 0.1,-0.2 ));
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initialEstimate.insert(2, Pose2(2.3, 0.1,-0.2 ));
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initialEstimate.insertPose(3, Pose2(4.1, 0.1, pi/2));
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initialEstimate.insert(3, Pose2(4.1, 0.1, pi/2));
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initialEstimate.insertPose(4, Pose2(4.0, 2.0, pi ));
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initialEstimate.insert(4, Pose2(4.0, 2.0, pi ));
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initialEstimate.insertPose(5, Pose2(2.1, 2.1,-pi/2));
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initialEstimate.insert(5, Pose2(2.1, 2.1,-pi/2));
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initialEstimate.print(sprintf('\nInitial estimate:\n'));
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initialEstimate.print(sprintf('\nInitial estimate:\n'));
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%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
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%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
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result = graph.optimize(initialEstimate,1);
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optimizer = LevenbergMarquardtOptimizer(graph, initialEstimate);
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result = optimizer.optimizeSafely();
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result.print(sprintf('\nFinal result:\n'));
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result.print(sprintf('\nFinal result:\n'));
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%% Plot Covariance Ellipses
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%% Plot Covariance Ellipses
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cla;
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cla;
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X=result.poses();
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hold on
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plot(X(:,1),X(:,2),'k*-'); hold on
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plot([result.at(5).x;result.at(2).x],[result.at(5).y;result.at(2).y],'r-','LineWidth',2);
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plot([result.pose(5).x;result.pose(2).x],[result.pose(5).y;result.pose(2).y],'r-');
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marginals = Marginals(graph, result);
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marginals = graph.marginals(result);
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plot2DTrajectory(result, [], marginals);
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for i=1:result.size()
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pose_i = result.pose(i);
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P = marginals.marginalCovariance(i)
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plotPose2(pose_i,'g',P);
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end
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axis([-0.6 4.8 -1 1])
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axis([-0.6 4.8 -1 1])
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axis equal
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axis equal
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view(2)
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view(2)
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% - The robot is on a grid, moving 2 meters each step
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% - The robot is on a grid, moving 2 meters each step
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%% Create graph container and add factors to it
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%% Create graph container and add factors to it
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graph = pose2SLAM.Graph;
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graph = NonlinearFactorGraph;
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%% Add prior
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%% Add prior
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
% gaussian for prior
|
% gaussian for prior
|
||||||
priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
|
priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
|
||||||
priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
|
priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
|
||||||
graph.addPosePrior(1, priorMean, priorNoise); % add directly to graph
|
graph.add(PriorFactorPose2(1, priorMean, priorNoise)); % add directly to graph
|
||||||
|
|
||||||
%% Add odometry
|
%% Add odometry
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
% general noisemodel for odometry
|
% general noisemodel for odometry
|
||||||
odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
||||||
odometry = Pose2(2.0, 0.0, 0.0); % create a measurement for both factors (the same in this case)
|
odometry = Pose2(2.0, 0.0, 0.0); % create a measurement for both factors (the same in this case)
|
||||||
graph.addRelativePose(1, 2, odometry, odometryNoise);
|
graph.add(BetweenFactorPose2(1, 2, odometry, odometryNoise));
|
||||||
graph.addRelativePose(2, 3, odometry, odometryNoise);
|
graph.add(BetweenFactorPose2(2, 3, odometry, odometryNoise));
|
||||||
|
|
||||||
%% Add measurements
|
%% Add measurements
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
|
@ -48,23 +48,23 @@ graph.print('full graph');
|
||||||
|
|
||||||
%% Initialize to noisy points
|
%% Initialize to noisy points
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
initialEstimate = pose2SLAM.Values;
|
initialEstimate = Values;
|
||||||
initialEstimate.insertPose(1, Pose2(0.5, 0.0, 0.2));
|
initialEstimate.insert(1, Pose2(0.5, 0.0, 0.2));
|
||||||
initialEstimate.insertPose(2, Pose2(2.3, 0.1,-0.2));
|
initialEstimate.insert(2, Pose2(2.3, 0.1,-0.2));
|
||||||
initialEstimate.insertPose(3, Pose2(4.1, 0.1, 0.1));
|
initialEstimate.insert(3, Pose2(4.1, 0.1, 0.1));
|
||||||
|
|
||||||
initialEstimate.print('initial estimate');
|
initialEstimate.print('initial estimate');
|
||||||
|
|
||||||
%% set up solver, choose ordering and optimize
|
%% set up solver, choose ordering and optimize
|
||||||
%params = NonlinearOptimizationParameters_newDecreaseThresholds(1e-15, 1e-15);
|
params = DoglegParams;
|
||||||
%
|
params.setAbsoluteErrorTol(1e-15);
|
||||||
%ord = graph.orderingCOLAMD(initialEstimate);
|
params.setRelativeErrorTol(1e-15);
|
||||||
%
|
params.setVerbosity('ERROR');
|
||||||
%result = pose2SLAMOptimizer(graph,initialEstimate,ord,params);
|
params.setVerbosityDL('VERBOSE');
|
||||||
%result.print('final result');
|
params.setOrdering(graph.orderingCOLAMD(initialEstimate));
|
||||||
|
optimizer = DoglegOptimizer(graph, initialEstimate, params);
|
||||||
|
|
||||||
%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
|
result = optimizer.optimizeSafely();
|
||||||
result = graph.optimize(initialEstimate,1);
|
|
||||||
result.print('final result');
|
result.print('final result');
|
||||||
|
|
||||||
%% Get the corresponding dense matrix
|
%% Get the corresponding dense matrix
|
||||||
|
@ -78,3 +78,4 @@ Ab=sparse(IJS(1,:),IJS(2,:),IJS(3,:));
|
||||||
A = Ab(:,1:end-1);
|
A = Ab(:,1:end-1);
|
||||||
b = full(Ab(:,end));
|
b = full(Ab(:,end));
|
||||||
spy(A);
|
spy(A);
|
||||||
|
title('Non-zero entries in measurement Jacobian');
|
||||||
|
|
|
@ -16,33 +16,37 @@ p0 = hexagon.pose(0);
|
||||||
p1 = hexagon.pose(1);
|
p1 = hexagon.pose(1);
|
||||||
|
|
||||||
%% create a Pose graph with one equality constraint and one measurement
|
%% create a Pose graph with one equality constraint and one measurement
|
||||||
fg = pose2SLAM.Graph;
|
import gtsam.*
|
||||||
fg.addPoseConstraint(0, p0);
|
fg = NonlinearFactorGraph;
|
||||||
|
fg.add(NonlinearEqualityPose2(0, p0));
|
||||||
delta = p0.between(p1);
|
delta = p0.between(p1);
|
||||||
covariance = gtsam.noiseModel.Diagonal.Sigmas([0.05; 0.05; 5*pi/180]);
|
covariance = noiseModel.Diagonal.Sigmas([0.05; 0.05; 5*pi/180]);
|
||||||
fg.addRelativePose(0,1, delta, covariance);
|
fg.add(BetweenFactorPose2(0,1, delta, covariance));
|
||||||
fg.addRelativePose(1,2, delta, covariance);
|
fg.add(BetweenFactorPose2(1,2, delta, covariance));
|
||||||
fg.addRelativePose(2,3, delta, covariance);
|
fg.add(BetweenFactorPose2(2,3, delta, covariance));
|
||||||
fg.addRelativePose(3,4, delta, covariance);
|
fg.add(BetweenFactorPose2(3,4, delta, covariance));
|
||||||
fg.addRelativePose(4,5, delta, covariance);
|
fg.add(BetweenFactorPose2(4,5, delta, covariance));
|
||||||
fg.addRelativePose(5,0, delta, covariance);
|
fg.add(BetweenFactorPose2(5,0, delta, covariance));
|
||||||
|
|
||||||
%% Create initial config
|
%% Create initial config
|
||||||
initial = pose2SLAM.Values;
|
initial = Values;
|
||||||
initial.insertPose(0, p0);
|
initial.insert(0, p0);
|
||||||
initial.insertPose(1, hexagon.pose(1).retract([-0.1, 0.1,-0.1]'));
|
initial.insert(1, hexagon.pose(1).retract([-0.1, 0.1,-0.1]'));
|
||||||
initial.insertPose(2, hexagon.pose(2).retract([ 0.1,-0.1, 0.1]'));
|
initial.insert(2, hexagon.pose(2).retract([ 0.1,-0.1, 0.1]'));
|
||||||
initial.insertPose(3, hexagon.pose(3).retract([-0.1, 0.1,-0.1]'));
|
initial.insert(3, hexagon.pose(3).retract([-0.1, 0.1,-0.1]'));
|
||||||
initial.insertPose(4, hexagon.pose(4).retract([ 0.1,-0.1, 0.1]'));
|
initial.insert(4, hexagon.pose(4).retract([ 0.1,-0.1, 0.1]'));
|
||||||
initial.insertPose(5, hexagon.pose(5).retract([-0.1, 0.1,-0.1]'));
|
initial.insert(5, hexagon.pose(5).retract([-0.1, 0.1,-0.1]'));
|
||||||
|
|
||||||
%% Plot Initial Estimate
|
%% Plot Initial Estimate
|
||||||
figure(1);clf
|
cla
|
||||||
plot(initial.xs(),initial.ys(),'g-*'); axis equal
|
plot2DTrajectory(initial, 'g*-'); axis equal
|
||||||
|
|
||||||
%% optimize
|
%% optimize
|
||||||
result = fg.optimize(initial);
|
optimizer = DoglegOptimizer(fg, initial);
|
||||||
|
result = optimizer.optimizeSafely;
|
||||||
|
|
||||||
%% Show Result
|
%% Show Result
|
||||||
hold on; plot(result.xs(),result.ys(),'b-*')
|
hold on; plot2DTrajectory(result, 'b*-');
|
||||||
|
view(2);
|
||||||
|
axis([-1.5 1.5 -1.5 1.5]);
|
||||||
result.print(sprintf('\nFinal result:\n'));
|
result.print(sprintf('\nFinal result:\n'));
|
||||||
|
|
|
@ -10,33 +10,39 @@
|
||||||
% @author Frank Dellaert
|
% @author Frank Dellaert
|
||||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
|
||||||
|
%% Find data file
|
||||||
|
datafile = findExampleDataFile('w100-odom.graph');
|
||||||
|
|
||||||
%% Initialize graph, initial estimate, and odometry noise
|
%% Initialize graph, initial estimate, and odometry noise
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
model = noiseModel.Diagonal.Sigmas([0.05; 0.05; 5*pi/180]);
|
model = noiseModel.Diagonal.Sigmas([0.05; 0.05; 5*pi/180]);
|
||||||
[graph,initial]=load2D('../../examples/Data/w100-odom.graph',model);
|
[graph,initial] = load2D(datafile, model);
|
||||||
initial.print(sprintf('Initial estimate:\n'));
|
initial.print(sprintf('Initial estimate:\n'));
|
||||||
|
|
||||||
%% Add a Gaussian prior on pose x_1
|
%% Add a Gaussian prior on pose x_1
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
priorMean = Pose2(0.0, 0.0, 0.0); % prior mean is at origin
|
priorMean = Pose2(0.0, 0.0, 0.0); % prior mean is at origin
|
||||||
priorNoise = noiseModel.Diagonal.Sigmas([0.01; 0.01; 0.01]);
|
priorNoise = noiseModel.Diagonal.Sigmas([0.01; 0.01; 0.01]);
|
||||||
graph.addPosePrior(0, priorMean, priorNoise); % add directly to graph
|
graph.add(PriorFactorPose2(0, priorMean, priorNoise)); % add directly to graph
|
||||||
|
|
||||||
%% Plot Initial Estimate
|
%% Plot Initial Estimate
|
||||||
figure(1);clf
|
cla
|
||||||
plot(initial.xs(),initial.ys(),'g-*'); axis equal
|
plot2DTrajectory(initial, 'g-*'); axis equal
|
||||||
|
|
||||||
%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
|
%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
|
||||||
result = graph.optimize(initial);
|
optimizer = LevenbergMarquardtOptimizer(graph, initial);
|
||||||
hold on; plot(result.xs(),result.ys(),'b-*')
|
result = optimizer.optimizeSafely;
|
||||||
|
hold on; plot2DTrajectory(result, 'b-*');
|
||||||
result.print(sprintf('\nFinal result:\n'));
|
result.print(sprintf('\nFinal result:\n'));
|
||||||
|
|
||||||
%% Plot Covariance Ellipses
|
%% Plot Covariance Ellipses
|
||||||
marginals = graph.marginals(result);
|
marginals = Marginals(graph, result);
|
||||||
P={};
|
P={};
|
||||||
for i=1:result.size()-1
|
for i=1:result.size()-1
|
||||||
pose_i = result.pose(i);
|
pose_i = result.at(i);
|
||||||
P{i}=marginals.marginalCovariance(i);
|
P{i}=marginals.marginalCovariance(i);
|
||||||
plotPose2(pose_i,'b',P{i})
|
plotPose2(pose_i,'b',P{i})
|
||||||
end
|
end
|
||||||
|
view(2)
|
||||||
|
axis([-15 10 -15 10]); axis equal;
|
||||||
fprintf(1,'%.5f %.5f %.5f\n',P{99})
|
fprintf(1,'%.5f %.5f %.5f\n',P{99})
|
|
@ -17,41 +17,42 @@
|
||||||
% - The robot is on a grid, moving 2 meters each step
|
% - The robot is on a grid, moving 2 meters each step
|
||||||
|
|
||||||
%% Create graph container and add factors to it
|
%% Create graph container and add factors to it
|
||||||
graph = pose2SLAM.Graph;
|
graph = NonlinearFactorGraph;
|
||||||
|
|
||||||
%% Add prior
|
%% Add prior
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
% gaussian for prior
|
% gaussian for prior
|
||||||
priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
|
priorMean = Pose2(0.0, 0.0, 0.0); % prior at origin
|
||||||
priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
|
priorNoise = noiseModel.Diagonal.Sigmas([0.3; 0.3; 0.1]);
|
||||||
graph.addPosePrior(1, priorMean, priorNoise); % add directly to graph
|
graph.add(PriorFactorPose2(1, priorMean, priorNoise)); % add directly to graph
|
||||||
|
|
||||||
%% Add odometry
|
%% Add odometry
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
% general noisemodel for odometry
|
% general noisemodel for odometry
|
||||||
odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
odometryNoise = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
||||||
graph.addRelativePose(1, 2, Pose2(2.0, 0.0, 0.0 ), odometryNoise);
|
graph.add(BetweenFactorPose2(1, 2, Pose2(2.0, 0.0, 0.0 ), odometryNoise));
|
||||||
graph.addRelativePose(2, 3, Pose2(2.0, 0.0, pi/2), odometryNoise);
|
graph.add(BetweenFactorPose2(2, 3, Pose2(2.0, 0.0, pi/2), odometryNoise));
|
||||||
graph.addRelativePose(3, 4, Pose2(2.0, 0.0, pi/2), odometryNoise);
|
graph.add(BetweenFactorPose2(3, 4, Pose2(2.0, 0.0, pi/2), odometryNoise));
|
||||||
graph.addRelativePose(4, 5, Pose2(2.0, 0.0, pi/2), odometryNoise);
|
graph.add(BetweenFactorPose2(4, 5, Pose2(2.0, 0.0, pi/2), odometryNoise));
|
||||||
|
|
||||||
%% Add pose constraint
|
%% Add pose constraint
|
||||||
import gtsam.*
|
import gtsam.*
|
||||||
model = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
model = noiseModel.Diagonal.Sigmas([0.2; 0.2; 0.1]);
|
||||||
graph.addRelativePose(5, 2, Pose2(2.0, 0.0, pi/2), model);
|
graph.add(BetweenFactorPose2(5, 2, Pose2(2.0, 0.0, pi/2), model));
|
||||||
|
|
||||||
% print
|
% print
|
||||||
graph.print(sprintf('\nFactor graph:\n'));
|
graph.print(sprintf('\nFactor graph:\n'));
|
||||||
|
|
||||||
%% Initialize to noisy points
|
%% Initialize to noisy points
|
||||||
initialEstimate = pose2SLAM.Values;
|
initialEstimate = Values;
|
||||||
initialEstimate.insertPose(1, Pose2(0.5, 0.0, 0.2 ));
|
initialEstimate.insert(1, Pose2(0.5, 0.0, 0.2 ));
|
||||||
initialEstimate.insertPose(2, Pose2(2.3, 0.1,-0.2 ));
|
initialEstimate.insert(2, Pose2(2.3, 0.1,-0.2 ));
|
||||||
initialEstimate.insertPose(3, Pose2(4.1, 0.1, pi/2));
|
initialEstimate.insert(3, Pose2(4.1, 0.1, pi/2));
|
||||||
initialEstimate.insertPose(4, Pose2(4.0, 2.0, pi ));
|
initialEstimate.insert(4, Pose2(4.0, 2.0, pi ));
|
||||||
initialEstimate.insertPose(5, Pose2(2.1, 2.1,-pi/2));
|
initialEstimate.insert(5, Pose2(2.1, 2.1,-pi/2));
|
||||||
initialEstimate.print(sprintf('\nInitial estimate:\n'));
|
initialEstimate.print(sprintf('\nInitial estimate:\n'));
|
||||||
|
|
||||||
%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
|
%% Optimize using Levenberg-Marquardt optimization with an ordering from colamd
|
||||||
result = graph.optimizeSPCG(initialEstimate);
|
optimizer = DoglegOptimizer(graph, initialEstimate);
|
||||||
|
result = optimizer.optimizeSafely();
|
||||||
result.print(sprintf('\nFinal result:\n'));
|
result.print(sprintf('\nFinal result:\n'));
|
|
@ -16,37 +16,38 @@ p0 = hexagon.pose(0);
|
||||||
p1 = hexagon.pose(1);
|
p1 = hexagon.pose(1);
|
||||||
|
|
||||||
%% create a Pose graph with one equality constraint and one measurement
|
%% create a Pose graph with one equality constraint and one measurement
|
||||||
fg = pose3SLAM.Graph;
|
import gtsam.*
|
||||||
fg.addPoseConstraint(0, p0);
|
fg = NonlinearFactorGraph;
|
||||||
|
fg.add(NonlinearEqualityPose3(0, p0));
|
||||||
delta = p0.between(p1);
|
delta = p0.between(p1);
|
||||||
covariance = gtsam.noiseModel.Diagonal.Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]);
|
covariance = noiseModel.Diagonal.Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]);
|
||||||
fg.addRelativePose(0,1, delta, covariance);
|
fg.add(BetweenFactorPose3(0,1, delta, covariance));
|
||||||
fg.addRelativePose(1,2, delta, covariance);
|
fg.add(BetweenFactorPose3(1,2, delta, covariance));
|
||||||
fg.addRelativePose(2,3, delta, covariance);
|
fg.add(BetweenFactorPose3(2,3, delta, covariance));
|
||||||
fg.addRelativePose(3,4, delta, covariance);
|
fg.add(BetweenFactorPose3(3,4, delta, covariance));
|
||||||
fg.addRelativePose(4,5, delta, covariance);
|
fg.add(BetweenFactorPose3(4,5, delta, covariance));
|
||||||
fg.addRelativePose(5,0, delta, covariance);
|
fg.add(BetweenFactorPose3(5,0, delta, covariance));
|
||||||
|
|
||||||
%% Create initial config
|
%% Create initial config
|
||||||
initial = pose3SLAM.Values;
|
initial = Values;
|
||||||
s = 0.10;
|
s = 0.10;
|
||||||
initial.insertPose(0, p0);
|
initial.insert(0, p0);
|
||||||
initial.insertPose(1, hexagon.pose(1).retract(s*randn(6,1)));
|
initial.insert(1, hexagon.pose(1).retract(s*randn(6,1)));
|
||||||
initial.insertPose(2, hexagon.pose(2).retract(s*randn(6,1)));
|
initial.insert(2, hexagon.pose(2).retract(s*randn(6,1)));
|
||||||
initial.insertPose(3, hexagon.pose(3).retract(s*randn(6,1)));
|
initial.insert(3, hexagon.pose(3).retract(s*randn(6,1)));
|
||||||
initial.insertPose(4, hexagon.pose(4).retract(s*randn(6,1)));
|
initial.insert(4, hexagon.pose(4).retract(s*randn(6,1)));
|
||||||
initial.insertPose(5, hexagon.pose(5).retract(s*randn(6,1)));
|
initial.insert(5, hexagon.pose(5).retract(s*randn(6,1)));
|
||||||
|
|
||||||
%% Plot Initial Estimate
|
%% Plot Initial Estimate
|
||||||
cla
|
cla
|
||||||
T=initial.translations();
|
plot3DTrajectory(initial, 'g-*');
|
||||||
plot3(T(:,1),T(:,2),T(:,3),'g-*');
|
|
||||||
|
|
||||||
%% optimize
|
%% optimize
|
||||||
result = fg.optimize(initial,1);
|
optimizer = DoglegOptimizer(fg, initial);
|
||||||
|
result = optimizer.optimizeSafely();
|
||||||
|
|
||||||
%% Show Result
|
%% Show Result
|
||||||
hold on; plot3DTrajectory(result,'b-*', true, 0.3);
|
hold on; plot3DTrajectory(result, 'b-*', true, 0.3);
|
||||||
axis([-2 2 -2 2 -1 1]);
|
axis([-2 2 -2 2 -1 1]);
|
||||||
axis equal
|
axis equal
|
||||||
view(-37,40)
|
view(-37,40)
|
||||||
|
|
|
@ -10,23 +10,31 @@
|
||||||
% @author Frank Dellaert
|
% @author Frank Dellaert
|
||||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||||
|
|
||||||
|
%% Find data file
|
||||||
N = 2500;
|
N = 2500;
|
||||||
% filename = '../../examples/Data/sphere_smallnoise.graph';
|
% dataset = 'sphere_smallnoise.graph';
|
||||||
% filename = '../../examples/Data/sphere2500_groundtruth.txt';
|
% dataset = 'sphere2500_groundtruth.txt';
|
||||||
filename = '../../examples/Data/sphere2500.txt';
|
dataset = 'sphere2500.txt';
|
||||||
|
|
||||||
|
datafile = findExampleDataFile(dataset);
|
||||||
|
|
||||||
%% Initialize graph, initial estimate, and odometry noise
|
%% Initialize graph, initial estimate, and odometry noise
|
||||||
model = gtsam.noiseModel.Diagonal.Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]);
|
import gtsam.*
|
||||||
[graph,initial]=load3D(filename,model,true,N);
|
model = noiseModel.Diagonal.Sigmas([0.05; 0.05; 0.05; 5*pi/180; 5*pi/180; 5*pi/180]);
|
||||||
|
[graph,initial]=load3D(datafile,model,true,N);
|
||||||
|
|
||||||
%% Plot Initial Estimate
|
%% Plot Initial Estimate
|
||||||
figure(1);clf
|
cla
|
||||||
first = initial.pose(0);
|
first = initial.at(0);
|
||||||
plot3(first.x(),first.y(),first.z(),'r*'); hold on
|
plot3(first.x(),first.y(),first.z(),'r*'); hold on
|
||||||
plot3DTrajectory(initial,'g-',false);
|
plot3DTrajectory(initial,'g-',false);
|
||||||
|
|
||||||
%% Read again, now with all constraints, and optimize
|
%% Read again, now with all constraints, and optimize
|
||||||
graph = load3D(filename,model,false,N);
|
import gtsam.*
|
||||||
graph.addPoseConstraint(0, first);
|
graph = load3D(datafile, model, false, N);
|
||||||
result = graph.optimize(initial);
|
graph.add(NonlinearEqualityPose3(0, first));
|
||||||
plot3DTrajectory(result,'r-',false); axis equal;
|
optimizer = DoglegOptimizer(graph, initial);
|
||||||
|
result = optimizer.optimizeSafely();
|
||||||
|
plot3DTrajectory(result, 'r-', false); axis equal;
|
||||||
|
|
||||||
|
view(0); axis equal;
|
Binary file not shown.
|
@ -22,7 +22,7 @@ function varargout = gtsamExamples(varargin)
|
||||||
|
|
||||||
% Edit the above text to modify the response to help gtsamExamples
|
% Edit the above text to modify the response to help gtsamExamples
|
||||||
|
|
||||||
% Last Modified by GUIDE v2.5 13-Jun-2012 08:13:23
|
% Last Modified by GUIDE v2.5 23-Jul-2012 13:12:19
|
||||||
|
|
||||||
% Begin initialization code - DO NOT EDIT
|
% Begin initialization code - DO NOT EDIT
|
||||||
gui_Singleton = 1;
|
gui_Singleton = 1;
|
||||||
|
@ -104,6 +104,20 @@ echo on
|
||||||
Pose2SLAMExample
|
Pose2SLAMExample
|
||||||
echo off
|
echo off
|
||||||
|
|
||||||
|
% --- Executes on button press in Pose2SLAMCircle.
|
||||||
|
function Pose2SLAMCircle_Callback(hObject, eventdata, handles)
|
||||||
|
axes(handles.axes3);
|
||||||
|
echo on
|
||||||
|
Pose2SLAMExample_circle
|
||||||
|
echo off
|
||||||
|
|
||||||
|
% --- Executes on button press in Pose2SLAMManhattan.
|
||||||
|
function Pose2SLAMManhattan_Callback(hObject, eventdata, handles)
|
||||||
|
axes(handles.axes3);
|
||||||
|
echo on
|
||||||
|
Pose2SLAMExample_graph
|
||||||
|
echo off
|
||||||
|
|
||||||
% --- Executes on button press in Pose3SLAM.
|
% --- Executes on button press in Pose3SLAM.
|
||||||
function Pose3SLAM_Callback(hObject, eventdata, handles)
|
function Pose3SLAM_Callback(hObject, eventdata, handles)
|
||||||
axes(handles.axes3);
|
axes(handles.axes3);
|
||||||
|
@ -111,6 +125,13 @@ echo on
|
||||||
Pose3SLAMExample
|
Pose3SLAMExample
|
||||||
echo off
|
echo off
|
||||||
|
|
||||||
|
% --- Executes on button press in Pose3SLAMSphere.
|
||||||
|
function Pose3SLAMSphere_Callback(hObject, eventdata, handles)
|
||||||
|
axes(handles.axes3);
|
||||||
|
echo on
|
||||||
|
Pose3SLAMExample_graph
|
||||||
|
echo off
|
||||||
|
|
||||||
% --- Executes on button press in PlanarSLAM.
|
% --- Executes on button press in PlanarSLAM.
|
||||||
function PlanarSLAM_Callback(hObject, eventdata, handles)
|
function PlanarSLAM_Callback(hObject, eventdata, handles)
|
||||||
axes(handles.axes3);
|
axes(handles.axes3);
|
||||||
|
@ -118,6 +139,13 @@ echo on
|
||||||
PlanarSLAMExample
|
PlanarSLAMExample
|
||||||
echo off
|
echo off
|
||||||
|
|
||||||
|
% --- Executes on button press in PlanarSLAMSampling.
|
||||||
|
function PlanarSLAMSampling_Callback(hObject, eventdata, handles)
|
||||||
|
axes(handles.axes3);
|
||||||
|
echo on
|
||||||
|
PlanarSLAMExample_sampling
|
||||||
|
echo off
|
||||||
|
|
||||||
% --- Executes on button press in SFM.
|
% --- Executes on button press in SFM.
|
||||||
function SFM_Callback(hObject, eventdata, handles)
|
function SFM_Callback(hObject, eventdata, handles)
|
||||||
axes(handles.axes3);
|
axes(handles.axes3);
|
||||||
|
@ -138,7 +166,3 @@ axes(handles.axes3);
|
||||||
echo on
|
echo on
|
||||||
StereoVOExample
|
StereoVOExample
|
||||||
echo off
|
echo off
|
||||||
|
|
||||||
% --- Executes on button press in Future.
|
|
||||||
function Future_Callback(hObject, eventdata, handles)
|
|
||||||
fprintf(1,'Future demo not implemented yet :-)\n');
|
|
||||||
|
|
Loading…
Reference in New Issue