Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
439881 | Computer-Aided Design | 2008 | 12 Pages |
Abstract
By simultaneously considering evolution processes for parametric spline curves and implicitly defined curves, we formulate the framework of dual evolution. This allows us to combine the advantages of both representations. On the one hand, the implicit representation is used to guide the topology of the parametric curve and to formulate additional constraints, such as range constraints. On the other hand, the parametric representation helps to detect and to eliminate unwanted branches of the implicitly defined curves. Moreover, it is required for many applications, e.g., in Computer Aided Design.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Robert Feichtinger, Matthias Fuchs, Bert Jüttler, Otmar Scherzer, Huaiping Yang,