Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
442390 | Graphical Models | 2014 | 13 Pages |
Abstract
The equiareality of NURBS surfaces greatly affects the results of visualization and tessellation applications, especially when dealing with extruding and intruding shapes. To improve the equiareality of given NURBS surfaces, an optimization algorithm using the Möbius transformations is presented in this paper. The optimal Möbius transformation is obtained by computing the intersection of two planar algebraic curves, whose coefficients are computed explicitly for Bézier and B-spline surfaces, while numerically for NURBS surfaces. Examples are given to show the performance of our algorithm for visualization and tessellation applications.
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Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Yi-Jun Yang, Wei Zeng, Jian-Feng Chen,