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

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摘要

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.

论文关键词:structural stability,linear diffusion,scale space

论文评审过程:Received 22 August 1994, Revised 13 December 1994, Available online 16 December 1999.

论文官网地址:https://doi.org/10.1016/0262-8856(95)91145-4