Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
441160 | Computer Aided Geometric Design | 2015 | 4 Pages |
Abstract
•We show how to make a quad map be birational by assigning one control point weight.•The weight is computed using a simple closed-form equation.•For convex quads, the weight is positive and the pre-image is the [0,1]×[0,1][0,1]×[0,1] domain.•Any planar quad mesh can be made piecewise C0C0 birational by using this method.
A generic planar quadrilateral defines a 2:1 bilinear map. We show that by assigning an appropriate weight to one vertex of any planar quadrilateral, we can create a map whose inverse is rational linear.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Thomas W. Sederberg, Jianmin Zheng,