Progress in arbitrary topology deformable surfaces

Most deformable surfaces used in computer vision are restricted to a simple underlying mesh topology. This is a considerable limitation when dealing with complicated objects whose topology is not known in advance. In previous work we introduced a deformable surface that can take on arbitrary topology while maintaining geometric continuity throughout. In this paper we present some recent advances we have made that enable faster computation and a principled evaluation of the data t-ting term. The method is used to obtain more compact representations for dense polygonal meshes obtained from multiple range images. We show results using a new approach to initialise the mesh topology.

[1]  Akshay K. Singh,et al.  Deformable models in medical image analysis , 1996, Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis.

[2]  Matthias Eck,et al.  Automatic reconstruction of B-spline surfaces of arbitrary topological type , 1996, SIGGRAPH.

[3]  Marc Levoy,et al.  Fitting smooth surfaces to dense polygon meshes , 1996, SIGGRAPH.

[4]  Ken Shoemake BEYOND BÉZIER CURVES , 1991 .

[5]  Michael E. Mortenson,et al.  Geometric Modeling , 2008, Encyclopedia of GIS.

[6]  Tony DeRose,et al.  A multisided generalization of Bézier surfaces , 1989, TOGS.

[7]  Adrian Hilton,et al.  3D scene representation using a deformable surface , 1995, Proceedings of the Workshop on Physics-Based Modeling in Computer Vision.

[8]  Tony DeRose,et al.  Generalized B-spline surfaces of arbitrary topology , 1990, SIGGRAPH.

[9]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[10]  Adrian Hilton,et al.  Reliable Surface Reconstructiuon from Multiple Range Images , 1996, ECCV.

[11]  Adrian Hilton,et al.  Multi-resolution geometric fusion , 1997, Proceedings. International Conference on Recent Advances in 3-D Digital Imaging and Modeling (Cat. No.97TB100134).

[12]  Dimitris N. Metaxas,et al.  Adaptive shape evolution using blending , 1995, Proceedings of IEEE International Conference on Computer Vision.

[13]  Benjamin B. Kimia,et al.  Shock-Based Reaction-Diffusion Bubbles for Image Segmentation , 1995, CVRMed.

[14]  Demetri Terzopoulos,et al.  Topologically adaptable snakes , 1995, Proceedings of IEEE International Conference on Computer Vision.

[15]  Dinesh Manocha,et al.  Simplification envelopes , 1996, SIGGRAPH.

[16]  Adrian Hilton,et al.  SLIME: A new deformable surface , 1994, BMVC.

[17]  Andrew Blake,et al.  Dynamic contours: real-time active splines , 1993 .