Scale space versus topographic map for natural images
Caselles, Vincent; Coll, Bartomeu; Morel, Jean-Michel (1997), Scale space versus topographic map for natural images, in Haar Romeny, Bart ter; Florack, Luc; Koenderink, Jan; Viergever, Max, Scale-Space Theory in Computer Vision First International Conference, Scale-Space'97 Utrecht, The Netherlands, July 2–4, 1997 Proceedings, Springer : Berlin, p. 29-49. http://dx.doi.org/10.1007/3-540-63167-4_38
TypeCommunication / Conférence
Conference titleFirst International Conference on Scale-Space Theory in Computer Vision (Scale-Space'97)
Book titleScale-Space Theory in Computer Vision First International Conference, Scale-Space'97 Utrecht, The Netherlands, July 2–4, 1997 Proceedings
Book authorHaar Romeny, Bart ter; Florack, Luc; Koenderink, Jan; Viergever, Max
Series titleLecture Notes in Computer Science
Number of pages365
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Abstract (EN)We call "natural" image any photograph of an outdoor or indoor scene taken by a standard camera. In such images, most observed objects undergo occlusions and the illumination condition and contrast response of the camera are unknown. Actual Scale Space theories do not incorporate obvious restrictions imposed by the physics of image generation. The heat equation (linear scale space) is not contrast invariant and destroys T-junctions. The same is true for the recently proposed curvature equations (mean curvature motion and affine shortening): They break the symmetry of junctions. To apply directly these models to natural world images, with occlusions, is irrevelant. Returning to the edge detection problem, in which scale space theory originates, we show how level lines can be found in an image without smoothing. As an alternative to edge detection/scale space, we propose to define the line structure in a natural image by its topographic map (set of all level lines). We also show that a modification of morphological scale space can help to the visualization of the topographic map.
Subjects / KeywordsScale Space theories; images
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