### Multiresolution Computation of Conformal Structures of Surfaces

Xianfeng Gu, Yalin Wang and Shing-Tung Yau

IEEE Visualization, Austin, TX, Oct. 2004, pp. 267-274

An effient 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 diffrent 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.