Abstract

It is proven that, under four simple axioms, the multiscale analysis of shapes is given by a curvature motion equation. The advantages of such an axiomatic analysis are illustrated in order to discuss the psychophysical theory of early vision of B. Julesz, i.e., the texture preattentive discrimination theory. The result is unexpected. It is proved that the Julesz axiomatic is too good for human vision, and that it leads to a hyperdiscrimination algorithm.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Keywords

AxiomSimple (philosophy)Artificial intelligenceTexture (cosmology)Axiomatic systemComputer scienceCurvatureMathematicsComputer visionAlgorithmImage (mathematics)Calculus (dental)GeometryEpistemologyPhilosophy

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Publication Info

Year
2002
Type
article
Pages
646-647
Citations
7
Access
Closed

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Carlos López, Jean‐Michel Morel (2002). Axiomatization of shape analysis and application to texture hyperdiscrimination. , 646-647. https://doi.org/10.1109/cvpr.1993.341046

Identifiers

DOI
10.1109/cvpr.1993.341046