DocumentCode :
3636684
Title :
Surface Deformations Driven by Vector-Valued 1-Forms
Author :
Gabriel Taubin;Çagatay Demiralp
Author_Institution :
Brown Univ., Providence, RI, USA
fYear :
2010
Firstpage :
251
Lastpage :
255
Abstract :
We formulate the problem of surface deformations as the integration in the least square sense of a discrete vector-valued 1-forms obtained as the result of applying smooth stretching and rotation fields to the discrete differential of the 0-form defined by the vertex coordinates of a polygon mesh graph. Simple algorithms result from this formulation, which reduces to the solution of sparse linear systems. The method handles large angle rotations in one step and is invariant to rotations, translations, and scaling. We also introduce the integration of 1-forms along spanning trees as a heuristic to speed up the convergence of iterative solvers.
Keywords :
"Iterative algorithms","Shape","Deformable models","Linear systems","Tree graphs","Geometry","Laplace equations","Nonlinear distortion","Least squares methods","Solid modeling"
Publisher :
ieee
Conference_Titel :
Shape Modeling International Conference (SMI), 2010
Print_ISBN :
978-1-4244-7259-8
Type :
conf
DOI :
10.1109/SMI.2010.36
Filename :
5521472
Link To Document :
بازگشت