Optimal L2 approximation of images in nonorthogonal multiresolution bases

Pierre Moulin

Optimal L² approximation of images in nonorthogonal multiresolution bases

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

In this paper, we present a fast optimization algorithm for L² approximation in 2D, separable, nonorthogonal multiresolution bases and discuss its application to image coding. The algorithm is applied to a multiresolution bilinear spline basis and produces approximations that have two attractive features: less ringing artifacts and faster reconstruction than in commonly used multiresolution bases.

Original language	English (US)
Title of host publication	Image and Multidimensional Signal Processing
Publisher	Publ by IEEE
Pages	V-189-V-192
ISBN (Print)	0780309464
State	Published - 1993
Externally published	Yes
Event	IEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5) - Minneapolis, MN, USA Duration: Apr 27 1993 → Apr 30 1993

Publication series

Name	Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing
Volume	5
ISSN (Print)	0736-7791

Other

Other	IEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5)
City	Minneapolis, MN, USA
Period	4/27/93 → 4/30/93

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Library availability

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Cite this

Moulin, P 1993, Optimal L² approximation of images in nonorthogonal multiresolution bases. in Image and Multidimensional Signal Processing. Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 5, Publ by IEEE, pp. V-189-V-192, IEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5), Minneapolis, MN, USA, 4/27/93.

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AB - In this paper, we present a fast optimization algorithm for L2 approximation in 2D, separable, nonorthogonal multiresolution bases and discuss its application to image coding. The algorithm is applied to a multiresolution bilinear spline basis and produces approximations that have two attractive features: less ringing artifacts and faster reconstruction than in commonly used multiresolution bases.

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