Title
Representing circles with five control points
Abstract
We show that five is the minimal dimension of a space required to draw a complete circle with a unique control polygon. We identify all five-dimensional spaces invariant under translations and reflections where we can find shape preserving representations of a circle parameterized by its arc length.
Year
DOI
Venue
2003
10.1016/j.cagd.2003.06.007
Computer Aided Geometric Design
Keywords
Field
DocType
Trigonometric curves,Shape preserving,Totally positive basis,Critical length
Critical length,Topology,Polygon,Parameterized complexity,Arc length,Invariant (mathematics),Mathematics
Journal
Volume
Issue
ISSN
20
8-9
0167-8396
Citations 
PageRank 
References 
5
0.56
10
Authors
3
Name
Order
Citations
PageRank
Jesús M. Carnicer19419.04
Esmeralda Mainar215014.27
Juan Manuel Peña313126.55