Add to ORKGAbstract. The notion of complex B-spline is extended to a multivariate set-ting by means of ridge functions employing the known geometric relationship between ordinary B-splines and multivariate B-splines. To derive properties of complex B-splines in Rs, 1 < s ∈ N, the Dirichlet average has to be general-ized to include infinite dimensional simplices△∞. Based on this generalization several identities of multivariate complex B-splines are presented. 1
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
Some new results on multivariate simplex B-splines and their practical application are presented. Ne...
The notion of a complex B-spline is extended to a multivariate setting by means of ridge functions e...
We extend the notion of complex B-splines to a multivariate setting by employing the relationship be...
AbstractThe notion of a complex B-spline is extended to a multivariate setting by means of ridge fun...
A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based ...
For the Schoenberg B-splines, interesting relations between their functional representation, Dirichl...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
This paper is concerned with some aspects of the theory and application of splines with special emph...
AbstractA relation between univariate trigonometric and polynomial B-splines is extended to higher d...
For the Schoenberg (polynomial) B-splines, interesting relations between their functional representa...
AbstractDirichlet averages of multivariate functions are employed for a derivation of basic recurren...
Complex B-splines as introduced in Forster et al. (Appl. Comput. Harmon. Anal. 20: 281-282, 2006) ar...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
Some new results on multivariate simplex B-splines and their practical application are presented. Ne...
The notion of a complex B-spline is extended to a multivariate setting by means of ridge functions e...
We extend the notion of complex B-splines to a multivariate setting by employing the relationship be...
AbstractThe notion of a complex B-spline is extended to a multivariate setting by means of ridge fun...
A relation between double Dirichlet averages and multivariate complex B-splines is presented. Based ...
For the Schoenberg B-splines, interesting relations between their functional representation, Dirichl...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
AbstractProperties of Dirichlet averages are used to derive some well-known and some new properties ...
This paper is concerned with some aspects of the theory and application of splines with special emph...
AbstractA relation between univariate trigonometric and polynomial B-splines is extended to higher d...
For the Schoenberg (polynomial) B-splines, interesting relations between their functional representa...
AbstractDirichlet averages of multivariate functions are employed for a derivation of basic recurren...
Complex B-splines as introduced in Forster et al. (Appl. Comput. Harmon. Anal. 20: 281-282, 2006) ar...
AbstractWe propose a complex generalization of Schoenberg's cardinal splines. To this end, we go bac...
HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific res...
Some new results on multivariate simplex B-splines and their practical application are presented. Ne...