Article ID Journal Published Year Pages File Type
10132598 Computer Aided Geometric Design 2018 4 Pages PDF
Abstract
The aim of this short note is to provide a rigorous proof that the tensor product of two non-uniform linear convergent subdivision schemes converges and has the same regularity as the minimal regularity of the univariate schemes. It extends results that are known for the uniform linear case and are based on symbols, a notion which is no longer available in the non-uniform setting.
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Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
Preview
Convergence and smoothness of tensor-product of two non-uniform linear subdivision schemes
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