- 1.A. Aho, J.E. Hopcroft, and J.D. Ullman. Data structures and algorithms. Addison-Wesley, Reading, Mass., 1983. Google ScholarDigital Library
- 2.J. Eells and L. Lemaire. Another report on harmonic maps. Bull. London Math. Soc., 20:385-524, 1988.Google ScholarCross Ref
- 3.J. Eells and J.H. Sampson. Harmonic mappings of Riemannian manifolds. Amer. J. Math., 86:109-160, 1964.Google ScholarCross Ref
- 4.Adam Finkelstein and David Salesin. Multiresolution curves. Computer Graphics (SIGGRAPH '94 Proceedings), 28(3):261-268, July 1994. Google ScholarDigital Library
- 5.D. Forsey and R. Bartels. Hierarchical B-spline fitting. ACM Transactions on Graphics. To appear.Google Scholar
- 6.D. Forsey and R. Bartels. Hierarchical B-spline refinement. Computer Graphics, 22(4):205-212, 1988. Google ScholarDigital Library
- 7.David Forsey and Lifeng Wang. Multi-resolution surface approximation for animation. In Proceedings of Graphics Interface, 1993.Google Scholar
- 8.H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, and W. Stuetzle. Mesh optimization. Computer Graphics (SIGGRAPH '93 Proceedings), pages 19-26, August 1993. Google ScholarDigital Library
- 9.James R. Kent, Wayne E. Carlson, and Richard E. Parent. Shape transformation for polyhedral objects. Computer Graphics (SIGGRAPH '92 Proceedings), 26(2):47-54, July 1992. Google ScholarDigital Library
- 10.J. Michael Lounsbery. Multiresolution Analysis for Surfaces of Arbitrary Topological Type. PhD thesis, Department of Computer Science and Engineering, University of Washington, September 1994. Available as ftp://cs.washington.edu/pub/graphics/LounsPhd.ps.Z. Google ScholarDigital Library
- 11.Michael Lounsbery, Tony DeRose, and Joe Warren. Multiresolution analysis for surfaces of arbitrary topological type. Submitted for publication. Preliminary version available as Technical Report 93-10-05b, Department of Computer Science and Engineering, University of Washington, January, 1994. Also available as ftp://cs.washington.edu/pub/graphics/TR931005b.ps.Z.Google Scholar
- 12.J. Maillot, H. Yahia, and A. Verroust. Interactive texture mapping. Computer Graphics (SIGGRAPH '93 Proceedings), 27(3):27-34, August 1993. Google ScholarDigital Library
- 13.Stephane Mallat. A theory for multiresolution signal decomposition: The wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11 (7):674-693, July 1989. Google ScholarDigital Library
- 14.J.S. Mitchell, D.M. Mount, and C.H. Papadimitriou. The discrete geodesic problem. SlAM Journal of Computing, 16(4):647-668, 1987. Google ScholarDigital Library
- 15.David M. Mount. Voronoi diagrams on the surface of a polyhedron. Department of Computer Science CAR-TR-121, CS-TR-1496, University of Maryland, May 1985.Google Scholar
- 16.J. Rossignac and R Borrel. Multi-resolution 3D approximations for rendering. In B. Falcidieno and T.L. Kunii, editors, Modeling in Computer Graphics, pages 455-465. Springer-Verlag, June-July 1993.Google ScholarCross Ref
- 17.Richard Schoen and Shing-Tung Yau. Univalent harmonic maps between surfaces. Inventiones math., 44:265-278, 1978.Google Scholar
- 18.R Schr6der and W. Sweldens. Spherical wavelets: Efficiently representing functions on the sphere. Computer Graphics, (SIGGRAPH'95 Proceedings), 1995. Google ScholarDigital Library
- 19.William Schroeder, Jonathan Zarge, and William Lorensen. Decimation of triangle meshes. Computer Graphics (SIGGRAPH '92 Proceedings), 26(2):65-70, July 1992. Google ScholarDigital Library
- 20.Greg Turk. Re-tiling polygonal surfaces. Computer Graphics (SIG- GRAPH '92 Proceedings), 26(2):55-64, July 1992. Google ScholarDigital Library
- 21.Greg Turk and Marc Levoy. Zippered polygon meshes from range images. Computer Graphics (SIGGRAPH '94 Proceedings), 28(3):311- 318, July 1994. Google ScholarDigital Library
- 22.Amitabh Varshney. Hierarchical Geometric Approximations. PhD thesis, Department of Computer Science, University of North Carolina at Chapel Hill, 1994. Google ScholarDigital Library
Index Terms
- Multiresolution analysis of arbitrary meshes
Recommendations
Multiresolution half-edges
SCCG '07: Proceedings of the 23rd Spring Conference on Computer GraphicsIn the context of multiresolution subdivision surfaces, the quadtree structures are widely used. They are straightforwardly obtained from the nested hierarchy of faces generated by the subdivision schemes. Their common drawbacks are: specificity to the ...
Multiresolution Analysis on Irregular Surface Meshes
Wavelet-based methods have proven their efficiency for the visualization at different levels of detail, progressive transmission, and compression of large data sets. The required core of all wavelet-based methods is a hierarchy of meshes that satisfies ...
Wavelet-Based Multiresolution Analysis of Irregular Surface Meshes
Abstract--This paper extends Lounsbery's multiresolution analysis wavelet-based theory for triangular 3D meshes, which can only be applied to regularly subdivided meshes and thus involves a remeshing of the existing 3D data. Based on a new irregular ...
Comments