On the Nesting Behavior of T-splines

Abstract

We establish rigorously the fundamental nesting behavior of T-spline spaces in terms of the topology of the T-mesh. This provides a theoretical foundation for local refinement algorithms based on analysis-suitable T-splines and their use in isogeometric analysis. A key result is a dimension formula for smooth polynomial spline spaces defined over the B'ezier mesh of a T-spline.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2011
Accession Number
ADA555333

Entities

People

  • M. A. Scott
  • Xiangchong Li

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Blending
  • Boundaries
  • Computational Fluid Dynamics
  • Crossings
  • Engineering
  • Equations
  • Geometry
  • Information Operations
  • Intervals
  • Linear Systems
  • Mathematics
  • Military Research
  • Polynomials
  • Topology
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computational Fluid Dynamics (CFD)

Technology Areas

  • Space