Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/46213
Title: Formalization and computational aspects of image analysis
Authors: Alvarez, Luis 
Morel, Jean Michel
UNESCO Clasification: 220990 Tratamiento digital. Imágenes
120601 Construcción de algoritmos
120602 Ecuaciones diferenciales
Issue Date: 1994
Journal: Acta Numerica 
Abstract: In this article we shall present a unified and axiomatized view of several theories and algorithms of image multiscale analysis (and low level vision) which have been developed in the past twenty years. We shall show that under reasonable invariance and assumptions, all image (and shape) analyses can be reduced to a single partial differential equation. In the same way, movie analysis leads to a single parabolic differential equation. We discuss some applications to image segmentation and movie restoration. The experiments show how accurate and invariant the numerical schemes must be and we compare several (old and new) algorithms by discussing how well they match the axiomatic invariance requirements.
URI: http://hdl.handle.net/10553/46213
ISSN: 0962-4929
DOI: 10.1017/S0962492900002415
Source: Acta Numerica [ISSN 0962-4929], v. 3 (1), p. 1-59
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