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arXiv · 1609.08906

Affine geometry of equal-volume polygons in 3-space

Marcos Craizer·Sinesio Pesco
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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.

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Marcos Craizer, Sinesio Pesco. 2016-09-28. Affine geometry of equal-volume polygons in 3-space. https://arxiv.org/abs/1609.08906

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