Mathematical Morphology for Color Images: An Image-Dependent Approach

Xaro Benavent, Esther Dura, Francisco Vegara and Juan Domingo

Mathematical Problems in Engineering, 2012, vol. 2012, 1-18

Abstract:

This paper proposes one possibility to generalize the morphological operations (particularly, dilation, erosion, opening, and closing) to color images. First, properties of a desirable generalization are stated and a brief review is done on former approaches. Then, the method is explained, which is based on a total ordering of the colors in an image induced by its color histogram; this is valid for just one image and may present problems in smoothly coloured images. To solve these drawbacks a refinement consisting of smoothing the histogram and using a joint histogram of several images is presented. Results of applying the so-defined morphological operations on several sets of images are shown and discussed.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:678326

DOI: 10.1155/2012/678326

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