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1. Topographic maps of color images
Coll, B.; Froment, J.;
Pattern Recognition, 2000. Proceedings. 15th International Conference on
Volume 3,  3-7 Sept. 2000 Page(s):609 - 612 vol.3
Abstract:

We address the problem of extending topographic maps to color images. A topographic map gives a morphological and a geometrical representation of the information contained in natural images. Two approaches are presented and discussed. The first one is new and consists in defining a total order in R3 in accordance with the human visual percept ion of shapes. This allows one to define color topographic maps in the same way as for gray-level topographic maps. It has the advantage of leading all properties known in the gray-level case to remain true in the color case. However, the map contains a huge quantity of data that it has to be drastically simplified. The second approach allows one to build a simplified representation by using the geometry given by the luminance component only. We present experiments which illustrate the advantages and drawbacks of each of the method
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