A geometric approach for Hermite subdivision

Abstract  We present a non-stationary, non-uniform scheme for two-point Hermite subdivision. The novelty of this approach relies on
a geometric interpretation of the subdivision steps—related to generalized Bernstein bases—which permits to overcome the usually
unavoidable analytical difficulties. The main advantages consist in extra smoothness conditions, which in turn produce highly
regular limit curves, and in an elegant structure of the subdivision—described by three de Casteljau type matrices. As a by-product,
the scheme is inherently shape preserving.

• Content Type Journal Article
• DOI 10.1007/s00211-009-0280-0
• Authors
  
  
  • Paolo Costantini, Università di Siena Dipartimento di Scienze Matematiche ed Informatiche Siena Italy
  • Carla Manni, Università di Roma “Tor Vergata” Dipartimento di Matematica Rome Italy
  
  

• Journal Numerische Mathematik
• Online ISSN 0945-3245
• Print ISSN 0029-599X

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Original source : http://www.springerlink.com/content/55l91r44m308v0...