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. Carnicer | 1 | 94 | 19.04 |
Esmeralda Mainar | 2 | 150 | 14.27 |
Juan Manuel Peña | 3 | 131 | 26.55 |