Dual domain extrapolation

ACM SIGGRAPH 2003 Papers, SIGGRAPH '03

Volumn , Issue , 2003, Pages 364-369

  Lévy, Bruno ^a  

^a INRIA   (France)

Author keywords

differential geometry; minimal energy surfaces; natural boundaries; polygon meshes; shape optimization

Indexed keywords

CLOSED SURFACES; DIFFERENTIAL GEOMETRY; DUAL DOMAIN; GLOBAL PARAMETERIZATION; MESH QUALITY; MINIMAL ENERGY; NATURAL BOUNDARY; NEW APPROACHES; PARAMETER SPACES; POLYGON MESHES; RESEARCH AREAS; SURFACE SMOOTHNESS;

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; EXTRAPOLATION; INTERACTIVE COMPUTER GRAPHICS;

SHAPE OPTIMIZATION;

EID: 6344222412     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1201775.882277     Document Type: Conference Paper

References (29)

1. ALLIEZ, P., MEYER, M., AND DESBRUN, M. 2002. Interactive Geometry Remeshing. ACM Transactions on Graphics (SIGGRAPH conf. proc.), 347-354.
2. BLOOR, M., AND WILSON, M. 1990. Using partial differential equations to generate free-form surfaces. Computer-Aided Design, 22, 202-212. (Pubitemid 20708211)
3. BOISSONNAT, J.-D., AND CAZALS, F. 2002. Smooth surface reconstruction via natural neighbour interpolation of distance functions. Comp. Geometry Theory and Applications, 185-203.
4. BRAKKE, K. 1992. The surface evolver. Experimental Mathematics 1, 2, 141-165.
5. BURCHARD, H., AYERS, J., FREY, W., AND SAPIDIS, N. 1994. Approximation with aesthetic constraints. In Designing Fair Curves and Surfaces, N. Sapidis, Ed., SIAM.
6. CARR, J. C., BEATSON, R. K., CHERRIE, J. B., MITCHELL, T. J., FRIGHT, W. R., MCCALLUM, B. C., AND EVANS, T. R. 2001. Reconstruction and representation of 3D objects with radial basis functions. In SIGGRAPH Conference Proceedings, 67-76.
7. CHOPP, D., AND SETHIAN, J. 1999. Motion by intrinsic Laplacian of curvature. Interfaces and Free Boundaries, 1, 1-18.
8. DESBRUN, M., MEYER, M., SCHRÖDER, P., AND BARR, A. 1999. Implicit fairing of irregular meshes using diffusion and curvature flow. In SIGGRAPH Conference Proceedings, ACM, 317-324.
9. DESBRUN, M., MEYER, M., AND ALLIEZ, P. 2002. Intrinsic parameterizations of surface meshes. In Proceedings of Eurographics, 209-218.
10. DO CARMO, M. 1976. Differential geometry of curves and surfaces. Prentice Hall, Englewood Cliffs, Inc.
11. FABRI, A., GIEZEMAN, G.-J., KETTNER, L., SCHIRRA, S., AND SCHÖNHERR, S. 2000. On the Design of CGAL, a Computational Geometry Algorithms Library. Softw. - Pract. Exp. 30, 11, 1167-1202. www.cgal.org.
12. FLOATER, M. 1997. Parametrization and smooth approximation of surface triangulations. Computer Aided Geometric Design 14, 3 (April), 231-250.
13. GUSKOV, I., SWELDENS, W., AND SCHRÖDER, P. 1999. Multiresolution signal processing for meshes. In SIGGRAPH Conference Proceedings, ACM, 325-334.
14. HORMANN, K., AND GREINER, G. 2000. MIPS: An efficient global parametrization method. In Curve and Surface Design: Saint-Malo 1999, P.-J. Laurent, P. Sablonnire, and L. Schumaker, Eds. Vanderbilt University Press, 153-162.
15. HSU, L., KUSNED, R., AND SULLIVAN, J. 1992. Minimizing the squared mean curvature integral for surfaces in space forms. Experimental Mathematics 1, 3, 191-207.
16. KOBBELT, L., CAMPAGNA, S., VORSATZ, J., AND SEIDEL, H. 1998. Interactive multi-resolution modeling on arbitrary meshes. In SIGGRAPH Conference Proceedings, 105-114.
17. KOBBELT, L. 1997. Discrete fairing. In Proceedings of the Seventh IMA Conference on the Mathematics of Surfaces, 101-131.
18. LÉVY, B., PETITJEAN, S., RAY, N., AND MAILLOT, J. 2002. Least Squares Conformal Maps for Automatic Texture Atlas Generation. ACM Transactions on Graphics (SIGGRAPH conf. proc.), 362-371.
19. MALLET, J. 1992. Discrete Smooth Interpolation. Computer Aided Design 24, 4, 263-270.
20. MORETON, H., AND SÉQUIN, C. 1992. Functional minimization for fair surface design. In SIGGRAPH Conference Proceedings, ACM.
21. MUSETH, K., BREEN, D. E., WHITAKER, R. T., AND BARR, A. H. 2002. Level set surface editing operators. ACM Transactions on Graphics (SIGGRAPH Conf. Proc.) 21, 3, 330-338.
22. NOCEDAL, AND WRIGHT. 2000. Numerical Optimization. Springer.
23. OHTAKE, Y., BELYAEV, A., AND BOGAEVSKI, I. 2000. Polyhedral surface smoothing with simultaneous mesh regularization. In Geometric Modeling and Processing Proceedings, 229-237.
24. PINKALL, U., AND POLTHIER, K. 1993. Computing discrete minimal surfaces and their conjugates. Experimental Math. 2, 15.
25. SCHNEIDER, R., AND KOBBELT, L. Geometric fairing of irregular meshes for freeform surface design, to appear in the CAGD journal.
26. 1 boundary conditions. In Geometric Modeling and Processing Proceedings, 251-261.
27. SHEFFER, A., AND DE STURLER, E. 2001. Parameterization of faceted surfaces for meshing using angle based flattening. Engineering with Computers 17, 326-337.
28. TAUBIN, G. 1995. A signal processing approach to fair surface design. In SIGGRAPH Conference Proceedings, ACM, 351-358.
29. WELCH, W., AND WITKIN, A. 1994. Free-form shape design using triangulated surfaces. In SIGGRAPH Conference Proceedings, ACM.