Superficial and deep structure in linear diffusion scale space: critical points, isophotes and separatrices.
Image and Vision Computing
543 - 557.
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.
|Title:||Superficial and deep structure in linear diffusion scale space: critical points, isophotes and separatrices|
|Keywords:||Structural stability, linear diffusion, scale space|
|UCL classification:||UCL > School of BEAMS > Faculty of Engineering Science > Computer Science|
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