Abstract: We review recent developments concerning refinable, multivariate piecewise polynomials with compact support. We first consider uniform meshes, box splines, box spline wavelets and a generalisation of box splines called multi-box splines. Our next topic is spline functions on general triangulations, including continuous linear spline wavelets and hierarchical bases for C1 splines based on macro-elements. Similar types of spline functions are then studied for meshes gained from triangulating a mesh of quadrilaterals.
Publication Year: 2006
Publication Date: 2006-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 13
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