Salient point characterization for low resolution meshes

This paper deals with edge detection and vertex characterization of 3D meshes. First, a new measure is introduced, the saliency degree, which provide directly the shape information of a vertex of the mesh without any curvature computation. The relationship between the saliency degree and the curvature is demonstrated for continuous and discontinuous 2D curves. Then, a description of the 3D operator is given. Finally, results on geometric and real objects are shown. The contributions of this work are the definition of a new 3D operator which is able to extract point characteristic on 3D low resolution mesh.

[1]  Gérard G. Medioni,et al.  Robust estimation of curvature information from noisy 3D data for shape description , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[2]  Anshuman Razdan,et al.  Improved Curvature Estimation for Watershed Segmentation of 3-Dimensional Meshes , 2001 .

[3]  Konrad Polthier,et al.  Straightest geodesics on polyhedral surfaces , 2006, SIGGRAPH Courses.

[4]  Joonki Paik,et al.  Normal Vector Voting: Crease Detection and Curvature Estimation on Large, Noisy Meshes , 2002, Graph. Model..

[5]  Ulrich Pinkall,et al.  Computing Discrete Minimal Surfaces and Their Conjugates , 1993, Exp. Math..

[6]  Mark Meyer,et al.  Discrete Differential-Geometry Operators for Triangulated 2-Manifolds , 2002, VisMath.

[7]  Rachid Deriche,et al.  3D edge detection using recursive filtering: Application to scanner images , 1991, CVGIP Image Underst..

[8]  Mark Meyer,et al.  Implicit fairing of irregular meshes using diffusion and curvature flow , 1999, SIGGRAPH.

[9]  Lizhuang Ma,et al.  SUSAN structure preserving filtering for mesh denoising , 2006, The Visual Computer.

[10]  Yohan Fougerolle,et al.  3D acquisition and modeling for flint artefacts analysis , 2007, SPIE Optical Metrology.

[11]  Gabriel Taubin,et al.  Estimating the tensor of curvature of a surface from a polyhedral approximation , 1995, Proceedings of IEEE International Conference on Computer Vision.

[12]  Leif Kobbelt,et al.  Extraction of feature lines on triangulated surfaces using morphological operators , 2000 .

[13]  Stephen M. Smith,et al.  SUSAN—A New Approach to Low Level Image Processing , 1997, International Journal of Computer Vision.

[14]  Shi-Min Hu,et al.  Robust Feature Classification and Editing , 2007, IEEE Transactions on Visualization and Computer Graphics.

[15]  Konrad Polthier,et al.  Straightest geodesics on polyhedral surfaces , 2006, SIGGRAPH Courses.