Multivariate Complex BSplines, Dirichlet Averages and Difference Operators

Autor:	Forster, Brigitte, Massopust, Peter
Přispěvatelé:	Zentrum Mathematik, Technische Universität Munchen - Université Technique de Munich [Munich, Allemagne] (TUM), Institut für Biomathematik und Biometrie, Helmholtz-Zentrum München (HZM), Laurent Fesquet and Bruno Torrésani
Jazyk:	angličtina
Rok vydání:	2009
Předmět:	Computer Science::Graphics [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing
Zdroj:	SAMPTA'09, International Conference on Sampling Theory and Applications SAMPTA'09 SAMPTA'09, May 2009, Marseille, France. pp.General session
Popis:	International audience; For the Schoenberg B-splines, interesting relations between their functional representation, Dirichlet averages and difference operators are known. We use these relations to extend the B-splines to an arbitrary (infinite) sequence of knots and to higher dimensions. A new Fourier domain representation of the multidimensional complex B-spline is given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2705dd29377d975a84ca86ce9bc3ac51 https://hal.archives-ouvertes.fr/hal-00453453/file/Sampta09_GS_132.pdf Zobrazit plný text záznamu