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arXiv · 1505.05392

Globally structured 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement

Philipp Morgenstern
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Abstract

This paper addresses the linear independence of T-splines that correspond to refinements of three-dimensional tensor-product meshes. We give an abstract definition of analysis-suitability, and prove that it is equivalent to dual-compatibility, wich guarantees linear independence of the T-spline blending functions. In addition, we present a local refinement algorithm that generates analysis-suitable meshes and has linear computational complexity in terms of the number of marked and generated mesh elements.

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Philipp Morgenstern. 2015-05-20. Globally structured 3D Analysis-suitable T-splines: definition, linear independence and m-graded local refinement. https://doi.org/10.1137/15m102229x

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