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An adaptive finite-element method for image representation

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1 Author(s)
Moulin, P. ; Bell Commun. Res., Morristown, NJ, USA

A multiresolution image representation is proposed as a basis for constructing an approximation to an original image. The method is based on adaptive finite elements, a technique used in applied mathematics to solve numerically partial differential equations while preserving important features of the solution at different scales. Theory and experiments suggest that adaptive finite elements is a natural and computationally-powerful approach to image approximation problems. The particular representation is based on hierarchical finite elements. A multiresolution algorithm computes the solution to the approximation problem in O(N) time on a sequential machine and in O(logN) time on a single-instruction, multiple-data, fine-grain parallel architecture, where N is the number of pixels in the image. Applications to the problems of image compression and restoration are given

Published in:

Pattern Recognition, 1992. Vol.III. Conference C: Image, Speech and Signal Analysis, Proceedings., 11th IAPR International Conference on

Date of Conference:

30 Aug-3 Sep 1992