Abstract
The refinement partition techniques are very effective in finite element methods and computer-aided geometric designs. However, the introduction of refinement partition may cause some inconvenience. We will discuss rational spline functions, especially the theory and methods of locally supported bivariate rational spline functions. We will discover that they use nonlinearity to avoid complex refinement partitions and calculate of interpolation spline functions over the refinement partitions. Let us start with simple bivariate C 0 approximations.
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© 2001 Springer Science+Business Media Dordrecht
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Wang, RH. (2001). Rational spline functions. In: Multivariate Spline Functions and Their Applications. Mathematics and Its Applications, vol 529. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2378-7_5
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DOI: https://doi.org/10.1007/978-94-017-2378-7_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5703-7
Online ISBN: 978-94-017-2378-7
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