UNSPECIFIED (1998) Symmetry and wavelet transforms for image data compression. In: 4th IMA Conference on Mathematics in Signal Processing, DEC 17-19, 1996, UNIV WARWICK, COVENTRY, ENGLAND.

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Abstract

This paper describes work in the application of wavelet transforms to the data compression of both still images and image sequences. The main principle underlying the work is the representation of the natural symmetries of image data, which form a subgroup of the 2-d affine group, itself an approximation in 2-d of the motions resulting from perspective projection of the rigid motions in 3-d. It will be shown how the use of a suitable wavelet transform can simplify the representation of these motions, to good effect in two data compression applications. The first is a recasting of fractal compression into a more conventional predictive framework, using an orthonormal wavelet basis. The second makes use of an overcomplete wavelet transform in estimating motions for video coding.

Item Type:	Conference Item (UNSPECIFIED)
Subjects:	T Technology > TK Electrical engineering. Electronics Nuclear engineering Q Science > QA Mathematics
Series Name:	INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS CONFERENCE SERIES : NEW SERIES
Journal or Publication Title:	MATHEMATICS IN SIGNAL PROCESSING IV
Publisher:	CLARENDON PRESS
ISBN:	0-19-850202-8
Editor:	McWhirter, JG and Proudler, IK
Date:	1998
Volume:	67
Number of Pages:	14
Page Range:	pp. 287-300
Publication Status:	Published
Title of Event:	4th IMA Conference on Mathematics in Signal Processing
Location of Event:	UNIV WARWICK, COVENTRY, ENGLAND
Date(s) of Event:	DEC 17-19, 1996
URI:	http://wrap.warwick.ac.uk/id/eprint/13899

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