IIR filtering of surface meshes for the regularization of deformable models

A new adaptive IIR filtering of surface meshes by smoothing B-spline is proposed. We define some ad hoc processing of borders and singular points for genus 0 meshes. By adapting the filter cut-off frequency to the local mesh sampling, it enables homogeneous smoothing of non-uniform meshes. We present genus 0 and genus 1 meshes filtering as well as volume segmentations. These segmentations have been obtained using the IIR filtering of deformation forces within a smoothing B-Spline active surface.