Geometry and Color in Natural Images
Journal of Mathematical Imaging and Vision
Journal of Biomedical Informatics
A color topographic map based on the dichromatic reflectance model
Journal on Image and Video Processing - Color in Image and Video Processing
Preferential image segmentation using trees of shapes
IEEE Transactions on Image Processing
Body color sets: A compact and reliable representation of images
Journal of Visual Communication and Image Representation
Mixed color/level lines and their stereo- matching with a modified Hausdorff distance
Integrated Computer-Aided Engineering
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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 IR 3 in accordance with the human visual perception of shapes. This allows defining color topographic maps in the same way that what it has been done 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 so huge quantity of data that it has to be drastically simplified. The second approach, based on a so far unpublished result [4], allows building a simplified representation by using the geometry given by the luminance component only. We present experiments, which illustrate the advantages and the drawbacks of each method.