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Representing circles with five control points |
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| Authors: | J M Carnicer E Mainar J M Pea |
| Affiliation: | a Departamento de Matemáticas Estadística y Computación, Universidad de Cantabria, 39005, Santander, Spain b Departamento de Matemática Aplicada, Universidad de Zaragoza, 50009, Zaragoza, Spain |
| 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. |
| Keywords: | Trigonometric curves Shape preserving Totally positive basis Critical length |
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