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Open Access Green as soon as Postprint is submitted to ZB.
Multivariate complex B-splines.
Proc. SPIE 6701, 670109 (2007)
We extend the notion of complex B-splines to a multivariate setting by employing the relationship between ordinary B-splines and multivariate B-splines by means of ridge functions. In order to obtain properties of complex B-splines in Rs, 1 < s [is-an-element-of] N, the Dirichlet average has to be generalized to include infinite dimensional simplices. Based on this generalization several identities of multivariate complex B-splines are exhibited.
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Publication type
Article: Journal article
Document type
Scientific Article
Keywords
complex splines; multivariate splines; dirichlet average; weyl fractional derivative and integral
ISSN (print) / ISBN
0277-786X
e-ISSN
1996-756X
Conference Title
SPIE Optics and Photonics 2007 Conference on Mathematical Methods, 20 - 26 August 2007 San Diego, USA
Journal
Proceedings of SPIE
Quellenangaben
Volume: 6701,
Pages: 670109
Series
Proce. SPIE
Publisher
SPIE
Publishing Place
Bellingham WA
Reviewing status
Peer reviewed
Institute(s)
Institute of Biomathematics and Biometry (IBB)