| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 498072 | Computer Methods in Applied Mechanics and Engineering | 2012 | 10 Pages |
Abstract
In this paper we define Dual-Compatible (DC) T-splines, and we prove that Analysis-Suitable (AS) T-splines are Dual-Compatible. We show that the classical construction of a dual basis for tensor-product T-splines easily generalizes to DC T-spline spaces, and we discuss in the last section of the paper how it paves the way to a mathematical theory of AS T-splines.
► We define Dual-Compatible (DC) T-splines. ► We prove that Analysis-Suitable (AS) T-splines are Dual-Compatible (DC). ► We construct a dual basis for Dual-Compatible (DC) T-spline spaces. ► We discuss how it paves the way to a mathematical theory of AS T-splines.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
L. Beirão da Veiga, A. Buffa, D. Cho, G. Sangalli,