Multiresolution Computation of Conformal Structures of Surfaces
An efficient multiresolution method to compute global conformal structures of nonzero genus triangle meshes is introduced. The homology, cohomology groups of meshes are computed explicitly, then a basis of harmonic one forms and a basis of holomorphic one forms are constructed. A progressive mesh is...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
International Institute of Informatics and Cybernetics
2003-10-01
|
| Series: | Journal of Systemics, Cybernetics and Informatics |
| Online Access: | http://www.iiisci.org/Journal/CV$/sci/pdfs/P498546.pdf
|
| Summary: | An efficient multiresolution method to compute global conformal structures of nonzero genus triangle meshes is introduced. The homology, cohomology groups of meshes are computed explicitly, then a basis of harmonic one forms and a basis of holomorphic one forms are constructed. A progressive mesh is generated to represent the original surface at different resolutions. The conformal structure is computed for the coarse level first, then used as the estimation for that of the finer level, by using conjugate gradient method it can be refined to the conformal structure of the finer level. |
|---|---|
| ISSN: | 1690-4524 |