random sample cylinders and plot them on the fields
parent
6732beb1b4
commit
9485553d99
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@ -0,0 +1,31 @@
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function plotCylinderSamples(cylinders, fieldSize)
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holdstate = ishold;
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hold on
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num = size(cylinders, 1);
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sampleDensity = 120;
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figure
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for i = 1:num
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%base.z = cylinders{i}.centroid.z - cylinders{i}.height/2;
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[X,Y,Z] = cylinder(cylinders{i}.radius, sampleDensity * cylinders{i}.radius * cylinders{i}.height);
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X = X + cylinders{i}.centroid.x;
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Y = Y + cylinders{i}.centroid.y;
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Z = Z * cylinders{i}.height;
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cylinderHandle = surf(X,Y,Z);
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set(cylinderHandle, 'FaceAlpha', 0.5);
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hold on
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end
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axis equal
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axis([0, fieldSize.x, 0, fieldSize.y, 0, 20]);
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if ~holdstate
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hold off
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end
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end
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@ -2,27 +2,33 @@ clear all;
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clc;
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import gtsam.*
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cylinder_num = 10;
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cylinder_num = 20;
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cylinders = cell(cylinder_num, 1);
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% generate a set of cylinders
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fieldSize = Point2([100, 100]');
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% random generate cylinders on the fields
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for i = 1:cylinder_num
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cylinder_center = Point2([10, 5 * i]');
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cylinders{i,1} = cylinderSampling(cylinder_center, 1, 5, 30);
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baseCentroid = Point2([fieldSize.x * rand, fieldSize.y * rand]');
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cylinders{i,1} = cylinderSampling(baseCentroid, 1, 5, 30);
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end
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% plot all the cylinders and sampled points
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% now is plotting on a 100 * 100 field
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plotCylinderSamples(cylinders, fieldSize);
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% visibility validation
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%camera_transform = Pose3(Rot3.RzRyRx(-pi/2, 0, -pi/2),y_shift);
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K = Cal3_S2(525,525,0,320,240);
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cam_pose = Pose3();
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cam = SimpleCamera(cam_pose, K);
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cameraPose = Pose3(); % now set to be default
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% the projections of all visible 3D points
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visiblePoints3 = cylinderSampleProjection(cam, cam_pose, cylinders);
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%
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%
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% visiblePoints3 = cylinderSampleProjection(K, cameraPose, cylinders);
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@ -1,17 +1,40 @@
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function [] = cylinderSampleProjection(Cam, Pose3, cylinders)
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function [] = cylinderSampleProjection(K, cameraPose, imageSize, cylinders)
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% Project sampled points on cylinder to camera frame
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% Authors: Zhaoyang Lv
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cylinder_num = size(cylinders, 1);
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camera = SimpleCamera(cameraPose, K);
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for i = 1:cylinder_num
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cylinder = cylinders{i};
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point_num = size(cylinder.Points, 1);
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% to be finished
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point_num = size( cylinders{i}.Points, 1);
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% for j = 1:point_num
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%
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% cylinderPoints =
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%
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% end
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% to check point visibility
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for j = 1:point_num
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sampledPoint3 = cylinders{i}.Poinsts{j};
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measurements2d = camera.project(sampledPoint3);
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% ignore points not visible in the scene
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if measurements2d.x < 0 || measurements.x >= imageSize.x ...
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|| measurements2d.y < 0 || measurements.y >= imageSize.y
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continue;
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end
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% ignore points occluded
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% use a simple math hack to check occlusion:
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% 1. All points in front of cylinders' surfaces are visible
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% 2. For points behind the cylinders' surfaces, the cylinder
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for k = 1:cylinder_num
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rayCameraToPoint = sampledPoint3 - cameraPose.t;
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rayCameraToCylinder = cylinders{i} - cameraPose.t;
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projectedRay = dot(rayCameraToPoint, rayCameraToCylinder);
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distCameraToCylinder = norm(rayCameraToCylinder);
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end
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end
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end
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@ -1,22 +1,25 @@
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function [cylinder] = cylinderSampling(Point2, radius, height, density)
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function [cylinder] = cylinderSampling(baseCentroid, radius, height, density)
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%
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import gtsam.*
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% calculate the cylinder area
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A = 2 * pi * radius * height;
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area = 2 * pi * radius * height;
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PointsNum = round(A * density);
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pointsNum = round(area * density);
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Points3 = cell(PointsNum, 1);
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points3 = cell(pointsNum, 1);
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% sample the points
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for i = 1:PointsNum
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for i = 1:pointsNum
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theta = 2 * pi * rand;
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x = radius * cos(theta) + Point2.x;
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y = radius * sin(theta) + Point2.y;
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x = radius * cos(theta) + baseCentroid.x;
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y = radius * sin(theta) + baseCentroid.y;
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z = height * rand;
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Points3{i,1} = Point3([x,y,z]');
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points3{i,1} = Point3([x,y,z]');
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end
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cylinder.area = A;
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cylinder.Points = Points3;
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cylinder.area = area;
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cylinder.radius = radius;
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cylinder.height = height;
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cylinder.Points = points3;
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cylinder.centroid = Point3(baseCentroid.x, baseCentroid.y, height/2);
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end
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