Geodesic
Splines for Meshes with Irregularities
Peters, Jörg1
1 Dept CISE, University of Florida, Gainesville FL 32611-6120, USA
The SMAI Journal of computational mathematics, Tome S5 (2019), pp. 161-183 Cet article a éte moissonné depuis la source Numdam

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Splines form an elegant bridge between the continuous real world and the discrete computational world. Their tensor-product form lifts many univariate properties effortlessly to the surfaces, volumes and beyond. Irregularities, where the tensor-structure breaks down, therefore deserve attention – and provide a rich source of mathematical challenges and insights.

This paper reviews and categorizes techniques for splines on meshes with irregularities. Of particular interest are quad-dominant meshes that can have n≠4 valent interior points and T-junctions where quad-strips end. “Generalized” splines can use quad-dominant meshes as control nets both for modeling geometry and to support engineering analysis without additional meshing.

Publié le :
DOI : 10.5802/smai-jcm.57
Classification : 65N35, 15A15
Keywords: splines, irregular, classification

Peters, Jörg 1

1 Dept CISE, University of Florida, Gainesville FL 32611-6120, USA 
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     title = {Splines for {Meshes} with {Irregularities}},
     journal = {The SMAI Journal of computational mathematics},
     pages = {161--183},
     year = {2019},
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Peters, Jörg. Splines for Meshes with Irregularities. The SMAI Journal of computational mathematics, Tome S5 (2019), pp. 161-183. doi: 10.5802/smai-jcm.57

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