Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643173 | Journal of Computational and Applied Mathematics | 2006 | 10 Pages |
Abstract
An arc-length preserving deformation for curves is presented by combining subdivision and inverse kinematic. A curve is discreted into polyline first, then the polyline is deformed with its arc-length preserved in the sense of minimizing energy. Subdivision method is applied to obtain a smooth curve (at least C1C1 continuity) with proper weights selected to keep the length of the resulting curve equal to the original curve. This technique also provides interactive response by progressively refining the solution of the optimization problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zhixun Su, Ling Li, Xiaojie Zhou,