Curvature estimation scheme for triangle meshes using biquadratic Bézier patches

CAD Computer Aided Design

Volumn 37, Issue 14, 2005, Pages 1481-1491

  Razdan, Anshuman ^a   Bae, Myungsoo ^a  

^a Arizona State University   (United States)

Author keywords

Curvature estimation; Segmentation; Triangle meshes

Indexed keywords

ESTIMATION; INFORMATION ANALYSIS; LINEAR SYSTEMS; SURFACE PHENOMENA;

CURVATURE ESTIMATION; SEGMENTATION; SHAPE ANALYSIS; TRIANGLE MESHES;

IMAGE SEGMENTATION;

EID: 24344505469     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2005.03.003     Document Type: Article

References (19)

1. P. Benko, R.R. Martin, and T. Várady Algorithms for reverse engineering boundary representation models Comput Aided Des 33 11 2001 839 851
2. C. Calladine Algorithms for reverse engineering boundary representation models J. Gregory The mathematics of surfaces 1986 Clarendon Press Oxford 179 196
3. M.P. Do Carmo Differential geometry of curves and surfaces 1976 Prentice-Hall Englewood Cliffs, NJ
4. G. Farin Curves and surfaces for computer aided geometric design 5th ed. 2003 Morgan Kaufmann Los Altos, CA
5. J. Goldfeather, and V. Interrante A novel cubic-order algorithm for approximating principal direction vectors ACM Trans Graph 23 1 2004 45 63
6. A. Gray Modern differential geometry of curves and surfaces with mathematica 1998 CRC Press Boca Raton, FL
7. B. Hamann Curvature approximation for triangulated surfaces Comput Suppl 1993 139 153
8. J. Hoschek, and D. Laser Fundamentals of computer aided geometric design 1993 AK Peters
9. A. Mangan, and R. Whitaker Partitioning 3d surface meshes using watershed segmentation IEEE Trans Visualization Comput Graph 5 4 1999 308 321
10. N. Max Weights for computing vertex normals from facet normals J Graph Tools 4 2 1999 1 6
11. M. Myers, M. Desbrun, P. Schroder, and A. Barr Discrete differential-geometry operators for triangulated 2-manifolds H.-C. Hege K. Poltheir Visualization and mathematics vol. 3 2002 Springer Berlin 34 57
12. G.M. Nielson, and T. Foley A survey of applications of an affine invariant norm T. Lyche L. Schumaker Mathematical methods in computer aided geometric design 1989 Academic Press New York 445 467
13. A. Razdan, and M. Bae A hybrid approach to feature segmentation of 3-dimensional meshes Comput Aided Des 35 9 2003 783 790
14. Rusinkiewicz S. Estimation of curvatures and their derivatives on triangle meshes. Second international symposium on 3D data processing; 2004. p. 486-93.
15. Surazhsky T, Magid E, Soldea O, Elber G, Rivlin E. A comparison of gaussian and mean curvatures estimation methods on triangular meshes. 2003 IEEE international conference on robotics and automation (ICRA2003), Taipei, Taiwan, 14-19 September 2003. p. 1021-6.
16. G. Taubin Estimating the tensor of curvature of a surface from a polyhedra approximation ICCV 1995 902 907
17. Theisel H, Rossl C, Zayer R, Seidel H-P. Normal based estimation of the curvature tensor for triangular meshes. 12th Pacific conference on computer graphics and applications; 2004. p. 288-97.
18. M. Vieira, K. Shimada, and T. Furuhata Smoothing of noisy laser scanner generated meshes using polynomial fitting and neighborhood erosion J Mech Des 126 3 2004 495 503
19. N. Yokoya, and M.D. Levine Range image segmentation based on differential geometry: a hybrid approach IEEE Trans Pattern Anal Mach Intell 2 6 1989 643 649