Image Processing

Shape Warping and Statistics

Version française

In september 2003, in Taormina (Sicily), I took part in the workshop « Designing Tomorrow's Category-Level 3D Object Recognition Systems: An International Workshop », where I presented a poster on shape statistics, here available (pdf or ps.gz, 900k).


Differentiable approximations of shape metrics (such as the Hausdorff distance) provide an simple way to warp a shape onto another by solving a Partial Differential Equation (PDE). Their first order variation defines a normal deformation field for a given curve, from which we can define the mean of several shapes, their covariance "operator", and the principal modes of variation.

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