diff --git a/gtsam/linear/NoiseModel.cpp b/gtsam/linear/NoiseModel.cpp
index 03c09502e..a1f8c7570 100644
--- a/gtsam/linear/NoiseModel.cpp
+++ b/gtsam/linear/NoiseModel.cpp
@@ -446,27 +446,52 @@ Vector Base::weight(const Vector &error) const {
 }
 
 void Base::reweight(Matrix &A, Vector &error) const {
-  const Vector W = weight(error);
-  vector_scale_inplace(W,A);
-  error = emul(W, error);
+  if ( reweight_ == Block ) {
+    const double w = weight(error.norm());
+    A *= w;
+    error *= w;
+  }
+  else {
+    const Vector W = weight(error);
+    vector_scale_inplace(W,A);
+    error = emul(W, error);
+  }
 }
 
 void Base::reweight(Matrix &A1, Matrix &A2, Vector &error) const {
-  const Vector W = weight(error);
-  vector_scale_inplace(W,A1);
-  vector_scale_inplace(W,A2);
-  error = emul(W, error);
+  if ( reweight_ == Block ) {
+    const double w = weight(error.norm());
+    A1 *= w;
+    A2 *= w;
+    error *= w;
+  }
+  else {
+    const Vector W = weight(error);
+    vector_scale_inplace(W,A1);
+    vector_scale_inplace(W,A2);
+    error = emul(W, error);
+  }
 }
 
 void Base::reweight(Matrix &A1, Matrix &A2, Matrix &A3, Vector &error) const {
-  const Vector W = weight(error);
-  vector_scale_inplace(W,A1);
-  vector_scale_inplace(W,A2);
-  vector_scale_inplace(W,A3);
-  error = emul(W, error);
+  if ( reweight_ == Block ) {
+    const double w = weight(error.norm());
+    A1 *= w;
+    A2 *= w;
+    A3 *= w;
+    error *= w;
+  }
+  else {
+    const Vector W = weight(error);
+    vector_scale_inplace(W,A1);
+    vector_scale_inplace(W,A2);
+    vector_scale_inplace(W,A3);
+    error = emul(W, error);
+  }
 }
 
-Fair::Fair(const double c): c_(c) {
+Fair::Fair(const double c, const ReweightScheme reweight)
+  : Base(reweight), c_(c) {
   if ( c_ <= 0 ) {
     cout << "MEstimator Fair takes only positive double in constructor. forced to 1.0" << endl;
     c_ = 1.0;
@@ -488,7 +513,8 @@ bool Fair::equals(const Base &expected, const double tol) const {
 Fair::shared_ptr Fair::Create(const double c)
 { return shared_ptr(new Fair(c)); }
 
-Huber::Huber(const double k): k_(k) {
+Huber::Huber(const double k, const ReweightScheme reweight)
+  : Base(reweight), k_(k) {
   if ( k_ <= 0 ) {
     cout << "MEstimator Huber takes only positive double in constructor. forced to 1.0" << endl;
     k_ = 1.0;
diff --git a/gtsam/linear/NoiseModel.h b/gtsam/linear/NoiseModel.h
index 2808472b6..f512035a1 100644
--- a/gtsam/linear/NoiseModel.h
+++ b/gtsam/linear/NoiseModel.h
@@ -507,8 +507,15 @@ namespace gtsam {
 
 		class Base {
     public:
-		  typedef boost::shared_ptr<Base> shared_ptr;
-		  Base() {}
+      enum ReweightScheme { Scalar, Block };
+      typedef boost::shared_ptr<Base> shared_ptr;
+
+		protected:
+      ReweightScheme reweight_;
+
+    public:
+		  Base():reweight_(Block) {}
+		  Base(const ReweightScheme reweight):reweight_(reweight) {}
 		  virtual ~Base() {}
 		  virtual double weight(const double &error) const = 0;
 		  virtual void print(const std::string &s) const = 0;
@@ -525,12 +532,14 @@ namespace gtsam {
 		protected:
 		  double c_;
 		public:
-		  Fair(const double c);
+		  Fair(const double c, const ReweightScheme reweight = Block);
 		  virtual ~Fair() {}
 		  virtual double weight(const double &error) const ;
       virtual void print(const std::string &s) const ;
       virtual bool equals(const Base& expected, const double tol=1e-8) const ;
       static shared_ptr Create(const double c) ;
+		private:
+      Fair(){}
 		};
 
 	  class Huber : public Base {
@@ -539,12 +548,14 @@ namespace gtsam {
 	    protected:
 	      double k_;
 	    public:
-	      Huber(const double k);
+	      Huber(const double k, const ReweightScheme reweight = Block);
 	      virtual ~Huber() {}
 	      virtual double weight(const double &error) const ;
 	      virtual void print(const std::string &s) const ;
 	      virtual bool equals(const Base& expected, const double tol=1e-8) const ;
 	      static shared_ptr Create(const double k) ;
+	    private:
+	      Huber(){}
 	    };
 		}