Before revision:  In this work we define a procedure in order to reduce the condition number based on building an ellipsoid that closely matches the sampling space . This defines an affine transformation that renders the space homogeneous and suited to an efficient sampling by means of an Hit-and-Run Montecarlo markov chain .
After revision:  In this work we define a procedure in order to reduce the condition number based on building an ellipsoid that closely matches the sampling space , that can be used to define an efficient Hit-and-Run Montecarlo markov chain .