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Multiresolution Analysis for Surfaces of Arbitrary Topological Type (1994)
| Content Provider | CiteSeerX |
|---|---|
| Author | Derose, Tony D. Lounsbery, Michael Warren, Joe |
| Abstract | Multiresolution analysis and wavelets provide useful and efficient tools for representing functions at multiple levels of detail. Wavelet representations have been used in a broad range of applications, including image compression, physical simulation, and numerical analysis. In this paper we present a new class of wavelets, based on subdivision surfaces, that radically extend the class of representable functions. Whereas previous two-dimensional methods were restricted to functions defined on IR 2 , our method can be applied to functions defined on arbitrary two-dimensional topological domains. We envision many applications of this work, including continuous level-of-detail control for graphics rendering, compression of geometric models, and acceleration of global illumination algorithms. Level-of-detail control for spherical domains is illustrated using two examples: shape approximation of a polyhedral model, and color approximation of global terrain data. CR Categories and Subject... |
| File Format | |
| Journal | ACM TRANSACTIONS ON GRAPHICS |
| Journal | ACM Transactions on Graphics |
| Publisher Date | 1994-01-01 |
| Access Restriction | Open |
| Subject Keyword | Global Illumination Algorithm Multiresolution Analysis Physical Simulation Representable Function Arbitrary Topological Type Continuous Level-of-detail Control Polyhedral Model Many Application Whereas Previous Two-dimensional Method Geometric Model Image Compression Cr Category Shape Approximation Spherical Domain Numerical Analysis Level-of-detail Control Global Terrain Data Arbitrary Two-dimensional Topological Domain Broad Range Multiple Level Efficient Tool Color Approximation Wavelet Representation Subdivision Surface |
| Content Type | Text |
| Resource Type | Article |