Multiresolution Computation of Conformal Structures of Surfaces
Xianfeng Gu, Yalin Wang, and Shing-Tung Yau
Abstract
An efficient multiresolution method to compute
global conformal structures of nonzero genus triangle meshes is introduced. A novle algorithm
to explicitly compute homology, cohomology
groups of meshes is proposed. Then a basis of harmonic one forms and a basis of holomor-
phic 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.
Figures (click on each for a larger version):
Related Publications
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X. Gu, Y. Wang and S.-T. Yau, "Multiresolution Computation of Conformal Structures of Surfaces", Journal of Systemics, Cybernetics and Informatics, 1(5), 2003
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X. Gu, Y. Wang, and S.-T. Yau,
"
Multiresolution Computation of Conformal Structures of Surfaces",
International Conference on Computer, Communication and Control Technologies: CCCT '03. This paper won the best paper award in the session: Computing Technologies.
