Abstract
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.
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Meyer, F. (2011). Image Decompositions and Transformations as Peaks and Wells. In: Soille, P., Pesaresi, M., Ouzounis, G.K. (eds) Mathematical Morphology and Its Applications to Image and Signal Processing. ISMM 2011. Lecture Notes in Computer Science, vol 6671. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21569-8_3
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DOI: https://doi.org/10.1007/978-3-642-21569-8_3
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