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Affine geometry of equal-volume polygons in 3-space.
- Source :
-
Computer Aided Geometric Design . Oct2017, Vol. 57, p44-56. 13p. - Publication Year :
- 2017
-
Abstract
- Equal-volume polygons are obtained from adequate discretizations of curves in 3-space, contained or not in surfaces. In this paper we explore the similarities of these polygons with the affine arc-length parameterized smooth curves to develop a theory of discrete affine invariants. Besides obtaining discrete affine invariants, equal-volume polygons can also be used to estimate projective invariants of a planar curve. This theory has many potential applications, among them evaluation of the quality and computation of affine invariants of silhouette curves. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678396
- Volume :
- 57
- Database :
- Academic Search Index
- Journal :
- Computer Aided Geometric Design
- Publication Type :
- Academic Journal
- Accession number :
- 125858453
- Full Text :
- https://doi.org/10.1016/j.cagd.2017.06.001