Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4952780 | Computer Aided Geometric Design | 2016 | 31 Pages |
Abstract
In this paper a new approach for a construction of polynomial surfaces with rational field of unit normals (PN surfaces) is presented. It is based on bivariate polynomials with quaternion coefficients. Relations between these coefficients are derived that allow one to construct PN surfaces of general odd and even degrees. For low degree PN surfaces the theoretical results are supplemented with algorithms and illustrated with numerical examples.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
Jernej Kozak, Marjeta Krajnc, Vito Vitrih,