Stationary Subdivision and Multiresolution Surface Representation

Abstract

Stationary subdivision is an important tool for generating smooth free-form surfaces used in CAGD and computer graphics. One of the challenges in the construction of subdivision schemes for arbitrary meshes is to guarantee that the surfaces produced by the algorithm are C(1)-continuous. First results in this direction were obtained only recently. In this thesis we derive necessary and sufficient criteria for C(k)-continuity that generalize and extend most known conditions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1998
Accession Number
ADA446101

Entities

People

  • Denis N. Zorin

Organizations

  • California Institute of Technology

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundaries
  • Computer Graphics
  • Graphics
  • Information Operations
  • Instructions
  • Scientific Research
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.