Universität zu Köln

Percan, Yvonne, Zellmann, Stefan ORCID: 0000-0003-2880-9090 and Lang, Ulrich ORCID: 0000-0001-7166-0805 (2015). Asymptotic error of cubic B-spline interpolation using prefiltering. Numer. Algorithms, 70 (1). S. 191 - 204. DORDRECHT: SPRINGER. ISSN 1572-9265

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Abstract

A popular class of reconstruction filters that are used in signal and image processing is based on cubic B-splines. One reason for their popularity is the fact that they can be efficiently implemented. This is specifically true with modern GPUs where cubic B-spline filtering can be implemented by means of linearly interpolating texture fetches so that the actual number of memory accesses can be significantly reduced. The curve obtained from filtering with the cubic B-spline does in general not interpolate the original data set. The latter can however be achieved by applying a prefiltering step that transforms the original data set. We study the asymptotic behavior of the reconstruction error of the cubic B-spline interpolation filter using a state of the art method that is based on a Taylor series expansion and that was carefully adjusted to accommodate the infinite support of this reconstruction filter.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Percan, Yvonne UNSPECIFIED UNSPECIFIED UNSPECIFIED Zellmann, Stefan UNSPECIFIED orcid.org/0000-0003-2880-9090 UNSPECIFIED Lang, Ulrich UNSPECIFIED orcid.org/0000-0001-7166-0805 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-394555
DOI:	10.1007/s11075-014-9941-x
Journal or Publication Title:	Numer. Algorithms
Volume:	70
Number:	1
Page Range:	S. 191 - 204
Date:	2015
Publisher:	SPRINGER
Place of Publication:	DORDRECHT
ISSN:	1572-9265
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Institute of Computer Science
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FILTERS; SIGNAL Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/39455