2021
DOI: 10.1007/s10444-020-09829-4
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Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension

Abstract: Polynomial splines are ubiquitous in the fields of computer-aided geometric design and computational analysis. Splines on T-meshes, especially, have the potential to be incredibly versatile since local mesh adaptivity enables efficient modeling and approximation of local features. Meaningful use of such splines for modeling and approximation requires the construction of a suitable spanning set of linearly independent splines, and a theoretical understanding of the spline space dimension can be a useful tool wh… Show more

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