Globally smooth parameterizations with low distortion

ACM SIGGRAPH 2003 Papers, SIGGRAPH '03

Volumn , Issue , 2003, Pages 350-357

  Khodakovsky, Andrei ^a   Litke, Nathan ^a   Schröder, Peter ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

compression; parameterization; rate distortion; resampling; smoothness

Indexed keywords

ARBITRARY TOPOLOGY; COMPLEX CONSTRUCTION; DIGITAL GEOMETRY PROCESSING; DISTORTION MEASURES; HOMEOMORPHIC; LOW DISTORTION; MESH SIMPLIFICATIONS; METRIC DISTORTIONS; NUMERICAL ALGORITHMS; NUMERICAL EVALUATIONS; PARAMETERIZATIONS; PROCESSING ALGORITHMS; RATE DISTORTION; RATE DISTORTION PERFORMANCE; RATE DISTORTIONS; RELAXATION PROCEDURES; RESAMPLING; SHAPE QUALITY; SMOOTH PARAMETERIZATION; SURFACE MESH; TRANSITION FUNCTIONS;

ALGORITHMS; ELECTRIC DISTORTION; IMAGE CODING; INTERACTIVE COMPUTER GRAPHICS; SIGNAL DISTORTION;

PARAMETERIZATION;

EID: 77953983755     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1201775.882275     Document Type: Conference Paper

References (34)

1. BIERMANN, H., MARTIN, I., BERNARDINI, F., AND ZORIN, D. 2002. Cut-and-Paste Editing of Multiresolution Surfaces. ACM Transactions on Graphics 21, 3, 312-321.
2. CIGNONI, P., ROCCHINI, C., AND SCOPIGNO, R. 1998. Metro: Measuring Error on Simplified Surfaces. Computer Graphics Forum 17, 2, 167-174.
3. DESBRUN, M., MEYER, M., AND ALLIEZ, P. 2002. Intrinsic Parameterizations of Surface Meshes. Computer Graphics Forum 21, 3, 209-218.
4. ECK, M., DEROSE, T. D., DUCHAMP, T., HOPPE, H., LOUNSBERY, M., AND STUETZLE, W. 1995. Multiresolution Analysis of Arbitrary Meshes. In Proceedings of SIGGRAPH, 173-182.
5. FLOATER, M. S. 1997. Parameterization and Smooth Approximation of Surface Triangulations. Computer Aided Geometric Design 14, 3, 231-250.
6. FLOATER, M. S. 2003. Mean Value Coordinates. Computer Aided Geometric Design 20, 1, 19-27.
7. GARLAND,M., AND HECKBERT, P. S. 1997. Surface Simplification Using Quadric Error Metrics. In Proceedings of SIGGRAPH, 209-216.
8. GOTSMAN, C., GU, X., AND SHEFFER, A. 2003. Fundamentals of Spherical Parameterization for 3D Meshes. In Proceedings of SIGGRAPH.
9. GRIMM, C. M., AND HUGHES, J. F. 1995. Modeling Surfaces of Arbitrary Topology using Manifolds. In Proceedings of SIGGRAPH, 359-368.
10. GU, X., AND YAU, S.-T. 2003. Global Conformal Surface Parameterization. Submitted for publication, April.
11. GU, X., GORTLER, S. J., AND HOPPE, H. 2002. Geometry Images. ACM Transactions on Graphics 21, 3, 355-361.
12. GUSKOV, I., VIDIMČE, K., SWELDENS, W., AND SCHRÖDER, P. 2000. Normal Meshes. In Proceedings of SIGGRAPH, 95-102.
13. GUSKOV, I., KHODAKOVSKY, A., SCHRÖDER, P., AND SWELDENS, W. 2002. Hybrid Meshes: Multiresolution using Regular and Irregular Refinement. In Proceedings of the Eighteenth Annual Symposium on Computational Geometry, 264-272.
14. HOPPE, H. 1996. Progressive Meshes. In Proceedings of SIGGRAPH, 99-108.
15. HORMANN, K., AND GREINER, G. 2000. MIPS: An Efficient Global Parametrization Method. In Curve and Surface Design: Saint-Malo 1999. Vanderbilt University Press, 153-162.
16. KHODAKOVSKY, A., AND GUSKOV, I. 2003. Compression of Normal Meshes. In Geometric Modeling for Scientific Visualization. Springer-Verlag.
17. KHODAKOVSKY, A., SCHRÖDER, P., AND SWELDENS,W. 2000. Progressive Geometry Compression. In Proceedings of SIGGRAPH, 271-278.
18. KOBBELT, L., CAMPAGNA, S., AND SEIDEL, H.-P. 1998. A General Framework for Mesh Decimation. In Graphics Interface '98, 43-50.
19. LEE, A. W. F., SWELDENS, W., SCHRÖDER, P., COWSAR, L., AND DOBKIN, D. 1998. MAPS: Multiresolution Adaptive Parameterization of Surfaces. In Proceedings of SIGGRAPH, 95-104.
20. LEE, A., DOBKIN, D., SWELDENS, W., AND SCHRÖDER, P. 1999. Multiresolution Mesh Morphing. In Proceedings of SIGGRAPH, 343-350.
21. LEE, A., MORETON, H., AND HOPPE, H. 2000. Displaced Subdivision Surfaces. In Proceedings of SIGGRAPH, 85-94.
22. LÉVY, B., PETITJEAN, S., RAY, N., AND MAILLOT, J. 2002. Least Squares Conformal Maps for Automatic Texture Atlas Generation. ACM Transactions on Graphics 21, 3, 362-371.
23. LOOP, C. 1987. Smooth Subdivision Surfaces Based on Triangles. Master's thesis, University of Utah, Department of Mathematics.
24. MAILLOT, J., YAHIA, H., AND VERROUST, A. 1993. Interactive Texture Mapping. In Proceedings of SIGGRAPH, 27-34.
25. PINKALL, U., AND POLTHIER, K. 1993. Computing Discrete Minimal Surfaces. Experimental Mathematics 2, 1, 15-36.
26. PRAUN, E., AND HOPPE, H. 2003. Spherical Parameterization and Remeshing. In Proceedings of SIGGRAPH.
27. SANDER, P. V., SNYDER, J., GORTLER, S. J., AND HOPPE, H. 2001. Texture Mapping Progressive Meshes. In Proceedings of SIGGRAPH, 409-416.
28. SANDER, P., GORTLER, S., SNYDER, J., AND HOPPE, H. 2002. Signal-Specialized Parameterization. In Eurographics Workshop on Rendering, 87-100.
29. SHEFFER, A., AND HART, J. C. 2002. Seamster: Inconspicuous Low-Distortion Texture Seam Layout. In IEEE Visualization, 291-298.
30. SHEWCHUK, J. R. 2002. What Is a Good Linear Element? Interpolation, Conditioning, and Quality Measures. Eleventh International Meshing Roundtable.
31. SORKINE, O., COHEN-OR, D., GOLDENTHAL, R., AND LISCHINSKI, D. 2002. Bounded-distortion Piecewise Mesh Parameterization. In IEEE Visualization, 355-362.
32. STRANG, G., AND NGUYEN, T. 1996. Wavelets and Filter Banks. Wellesley-Cambridge Press.
33. WOOD, Z. J., DESBRUN, M., SCHRÖDER, P., AND BREEN, D. 2000. Semi-Regular Mesh Extraction from Volumes. In IEEE Visualization, 275-282.
34. ZORIN, D., SCHRÖDER, P., AND SWELDENS, W. 1996. Interpolating Subdivision for Meshes with Arbitrary Topology. In Proceedings of SIGGRAPH 96, 189-192.