Hierarchical Description of Image Structure
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Let the image be given as a smooth illuminance distribution . Then we define the ε-level set as . The boundary of the ε-level set is just the ε isophote. We require that the image is generic, that is, stable against infinitesimal perturbations (any real image is generic!). A regular point of the image is a point at which does not vanish, if , is a critical point and a critical level. For a generic image the critical points are isolated and all critical levels are distinct.
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