The mixed directional difference-summation algorithm for generating the Bézier net of a trivariate four-direction box-spline. Trivariate box-splines lack an efficient and general exact evaluation technique. This paper presents one possible and underexploited approach to solving this problem. The algorithm we propose is based on mixed directional differences and summations for computing the Bézier net coefficients of all trivariate four-direction box-splines of any degree over tetrahedral tessellations of the domain. A Matlab package, called MDDS, for computing the Bézier net both in the trivariate and bivariate cases, is also provided. (netlib numeralgo na23)
Keywords for this software
References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Kim, Minho; Peters, Jörg: Fast and stable evaluation of box-splines via the BB-form (2009)
- Gout, C.; Le Guyader, C.; Romani, L.; Saint-Guirons, A.-G.: Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, $D^m$-splines and the finite element method (2008)
- Casciola, G.; Franchini, E.; Romani, L.: The mixed directional difference-summation algorithm for generating the Bézier net of a trivariate four-direction box-spline (2006)