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Superficial and deep structure in linear diffusion scale space: critical points, isophotes and separatrices

Griffin, LD; Colchester, ACF; (1995) Superficial and deep structure in linear diffusion scale space: critical points, isophotes and separatrices. Image and Vision Computing , 13 (7) 543 - 557. 10.1016/0262-8856(95)91145-4.

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Abstract

The concepts of structural stability and linear diffusion scale space are reviewed. The possible arrangements and inter-relationships of isophotes, critical points and separatrices in single structurally stable images are detailed. The behaviour of these structures with changing resolution in a linear diffusion scale space is examined. This behaviour includes not only periods of smooth change, but also four catastrophic changes: shoe surface, balanced saddle, double-saddle isophote and heteroclinic separatrix.

Type: Article
Title: Superficial and deep structure in linear diffusion scale space: critical points, isophotes and separatrices
DOI: 10.1016/0262-8856(95)91145-4
Publisher version: http://dx.doi.org/10.1016/0262-8856(95)91145-4
Language: English
Keywords: Structural stability, linear diffusion, scale space
UCL classification: UCL > School of BEAMS > Faculty of Engineering Science > Computer Science
URI: http://discovery.ucl.ac.uk/id/eprint/74209
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