Approximating Offsets of Surfaces by using the Support function Representation
The support function (SF) representation of surfaces is useful for analyzing curvatures and for representing offset surfaces. After reviewing basic properties of the SF representation, we discuss several techniques for approximating the SF of a given surface.
KeywordsSupport Function Principal Curvature Piecewise Linear Function Rational Curf Rational Surface
Unable to display preview. Download preview PDF.
- [Gra]Gravesen, J.: Surfaces Parametrised by the Normals. Computing, to appear.Google Scholar
- [Sab]Sabin, M.: A Class of Surfaces Closed under Five Important Geometric Operations, Technical Report, British Aircraft Corporation Ltd. (1974)Google Scholar
- [SGJ1]Šír, Z., Gravesen, J., Jüttler, B.: Curves and surfaces represented by polynomial support functions, submitted. Available as SFB report at http://www.sfb013.uni-linz.ac.at.
- [SGJ2]Šír, Z., Gravesen, J., Jüttler, B.: Computing Minkowski sums via Support Function Representation, submitted, available as FSP report at http://www.ig. jku.at