Linear subdivision is strictly a polynomial phenomenon

  • Goldman R
  • Heath D
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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. © 1984.

Author-supplied keywords

  • Computer graphics
  • computational geometry
  • curve representations
  • object modeling
  • polynomial
  • subdivision

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Authors

  • R. N. Goldman

  • D. C. Heath

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