Abstract
Title : Topographic Maps of Color Images
Authors : Bartomeu Coll and Jacques Froment
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 perception of shapes.
This allows to define 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. But 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approach, based on a so far unpublished result, allows to build
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.