Accession Number:

ADA555333

Title:

On the Nesting Behavior of T-splines

Descriptive Note:

Corporate Author:

TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES

Personal Author(s):

Report Date:

2011-05-01

Pagination or Media Count:

22.0

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 Bezier mesh of a T-spline.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE