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Linear subdivision is strictly a polynomial phenomenon |
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| Authors: | R N Goldman D C Heath |
| Affiliation: | 1. Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN 55455, USA;2. School of Operations Research and Industrial Engineering, Cornell University, Ithaca, NY 14853, USA |
| Abstract: | In this paper we give an elementary proof that polynomial curves are the only differentiable curves which permit subdivision by simple linear techniques. Subdivision methods for rational polynomial curves are also discussed. |
| Keywords: | Computer graphics computational geometry object modeling curve representations polynomial subdivision |
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