Low rank interpolation of boundary spline curves
| Autor: | Dominik Mokriš, Bert Jüttler |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Pure mathematics
Hermite spline Perfect spline Mathematical analysis Aerospace Engineering 020207 software engineering 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Computer Graphics and Computer-Aided Design Polyharmonic spline Cubic Hermite spline Spline (mathematics) Smoothing spline Modeling and Simulation Automotive Engineering 0202 electrical engineering electronic engineering information engineering 0101 mathematics Thin plate spline Spline interpolation Mathematics |
| Zdroj: | Computer Aided Geometric Design. 55:48-68 |
| ISSN: | 0167-8396 |
| DOI: | 10.1016/j.cagd.2017.03.012 |
| Popis: | The coefficients of a tensor-product spline surface in R d with m × n control points form a tensor of order 3 and dimension ( m , n , d ) . Motivated by applications in isogeometric analysis we analyze the rank of this tensor. In particular, we propose a new construction for low rank tensor-product spline surfaces from given boundary curves. While the results of this construction are generally not affinely invariant, we propose a simple standardization procedure that guarantees affine invariance for d = 2 . In addition we provide a detailed comparison with existing constructions of spline surfaces from boundary data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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