Affiliation:
1. University of California at Berkeley
Abstract
The parametric, geometric, or Frenet frame continuity of a rational curve has often been ensured by requiring the homogeneous polynomial curve associated with the rational curve to possess either parametric, geometric, or Frenet frame continuity, respectively. In this paper, we show that this approach is overly restrictive and derive the constraints on the associated homogeneous curve that are both necessary and sufficient to ensure that the rational curve is either parametrically, geometrically, or Frenet frame continuous.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design
Reference46 articles.
1. BAr~SKY B.A. The rational Beta-spline form for curve and surface representation. Submitted for publication. BAr~SKY B.A. The rational Beta-spline form for curve and surface representation. Submitted for publication.
Cited by
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