Erratum: Finding ridges and valleys in a discrete surface using a modified MLS approximation (CAD Computer-Aided Design 37:14 (1533-1542) DOI: 10.1016/j.cad.2005.05.002);Finding ridges and valleys in a discrete surface using a modified MLS approximation

CAD Computer Aided Design

Volumn 37, Issue 14, 2005, Pages 1533-1542

  Kim, Soo Kyun ^a   Kim, Chang Hun ^a  

^a Korea University   (South Korea)

Author keywords

Curvature extrema; Moving least squares; Ridge lines

Indexed keywords

APPROXIMATION THEORY; PARAMETER ESTIMATION; TUNING; VISUALIZATION;

CURVATURE EXTREMA; MOVING-LEAST-SQUARES; RIDGE LINES;

COMPUTER AIDED DESIGN;

EID: 24344480535     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cad.2005.10.003     Document Type: Erratum

References (28)

1. M. Alexa, J. Behr, S. Fleishman, D. Cohen-Or, D. Levin, and C.T. Silva Computing and rendering point set surfaces IEEE Trans Vis Comput Graph 9 1 2003 3 15
2. Alliez P, Meyer M, Desbrun M. Interactive geometry remeshing. In: Proceedings of SIGGRAPH02; 2002. p. 347-54.
3. Cazals F, Pouget M. Estimating differential quantities using polynomial fitting of osculating jets. In: Proceedings of a symposium on geometry processing; 2003. p. 177-87.
4. Desbrun M, Meyer M, Schroder P, Barr A. Discrete differential geometry operators for triangulated 2-manifolds. In: Proceedings of VisMath, Berlin; 2002.
5. N. Dyn, K. Hormann, S.-J. Kim, and D. Levin Optimizing 3D triangulations using discrete curvature analysis Math Methods Curves Surf 2001 135 146
6. A. Gray Modern differential geometry of curves and surfaces 2nd ed 1998 CRC Press Boca Raton
7. J. Goldfeather, and V. Interrante A novel cubic-order algorithm for approximating principal direction vectors ACM Trans Graph 23 1 2004 45 63
8. Gorden GG. Face recognition based on depth maps and surface curvature. In: Proceedings of the SPIE: geometric methods in computer vision; 1991.
9. Gumhold S, Wang X, Macleod RI. Feature extraction from point clouds. In: Proceedings of the 10th international meshing roundtable; 2001. p. 293-305.
10. P.L. Hallinan, G.G. Gordon, A.L. Yuille, P. Giblin, and D. Mumford Two-and-three dimensional patterns of the face 1999 A.K.Peters
11. Hubeli A, Gross M. Multiresolution feature extraction from unstructured meshes. In: Proceedings of IEEE visualization; 2001. p. 287-94.
12. Kent JT, Mardia KV, West J. Ridge curves and shape analysis. In: Proceedings of the British machine vision conference; 1996. p. 43-52.
13. S.-J. Kim, D. Levin, and C.-H. Kim Surface simplification using discrete curvature norms Comput Graph 26 5 2002
14. D. Levin Mesh-independent surface interpolation Geometric modeling for scientific visualization, 2004 2004 Springer Berlin p. 37-50
15. Ma K-L, Interrante V. Extracting feature lines from 3D unstructured grids. In: Proceedings of IEEE visualization 97; 1997. p. 285-292.
16. Monga O, Benayoun S, Faugeras O. From partial derivatives of 3D density images to ridge lines. In: Proceedings of CVPR92; 1992. p. 354-359.
17. Monga O, Armende N, Montesionoss P. Thin nets and crest lines: application to satellite data and medical images. In: Proceedings of international conference on image processing, vol. 2; 1995.
18. Ohtake Y, Belyaev AG, Seidel H-P. A multi-scale approach to 3D scattered data interpolation with compactly supported basis functions. In: Proceedings of shape modeling international; 2003. p. 153-61.
19. Ohtake Y, Belyaev AG, Seidel H-P. Ridge-valley lines on meshes via implicit surface fitting. In: Proceedings of SIGGRAPh 04; 2004. p. 609-12.
20. B. O'Neill Elementary differential geometry 2nd ed 1997 Academy Press New York
21. D.L. Page, Y. Sun, A. Koschan, J. Paik, and M. Abidi Normal vector voting: crease detection and curvature estimation on large, noisy meshes Graph Models 64 2002 199 229
22. X. Pennec, N. Ayache, and J.P. Thirion Landmark-based registration using features identified through differential geometry I.N. Bankman Handbook of medical imaging 2000 Academic Press New York 499 513
23. M. Pauly, R. Keiser, and M. Gross Multi-scale feature extraction on point-sampled models Comput Graph Forum 22 2003 281 289
24. Rossl C, Kobbelt L, Seidel H-P. Extraction of feature lines on triangulated surfaces using morphological operators. Smart graphics. In: Proceedings of the AAAI spring symposium; 2000.
25. G. Stylianou, and G. Farin Crest lines extraction from 3D triangulated meshes G. Farin B. Hamann H. Hagen Hierarchical and geometrical methods in scientific visualization 2003 Springer Berlin 269 281
26. J.P. Thirion The extremal mesh and understanding of 3D surfaces INRIA research report 2149, December 1993
27. J. Vorsatz, C. Rossl, L.P. Kobbelt, and H.-P. Seidel Feature sensitive remeshing Comput Graph Forum 20 2001 393 401
28. K. Watanabe, and A.G. Belyaev Detection of salient curvature features on polygonal surfaces Comput Graph Forum 20 3 2001 385 392