ISMM '98 Proceedings of the fourth international symposium on Mathematical morphology and its applications to image and signal processing
Connected morphological operators for binary images
Computer Vision and Image Understanding
Adjacency lattices and shape-tree semilattices
Image and Vision Computing
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An image may be decomposed as a difference between an image of peaks and an image of wells. This decomposition depends upon the point of view, an arbitrary set from where the image is considered: a peak appears as a peak if it is impossible to reach it starting from any position in the point of view without climbing. A well cannot be reached without descending. To any particular point of view corresponds a different decomposition. The decomposition is reversible. If one applies a morphological operator to the peaks and wells component before applying the inverse transform, one gets a new, transformed image.