Ultimate opening and gradual transitions

Abstract : Ultimate Opening (UO) is a powerful operator based on numerical residues. In a multi-scale framework, it analyzes an image under a series of increasing openings. Contrasted objects are detected when they are filtered out by an opening, generating an important residue. Gradual transitions make this operator underestimate the contrast of blurred objects. In this paper we propose a solution to this problem, integrating series of non-null residues. The resulting operator handles correctly blurred boundaries, without modifying the behavior on sharp transitions.
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Pierre Soille, Martino Pesaresi, and Georgios K. Ouzounis. Mathematical Morphology and Its Applications to Image and Signal Processing: Proceedings, 10th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing, ISMM 2011, Jul 2011, Verbania-Intra, Italy. Springer, 6671, pp.166-177, 2011, Lecture Notes in Computer Science. <10.1007/978-3-642-21569-8_15>
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Beatriz Marcotegui, Jorge Hernandez, Thomas Retornaz. Ultimate opening and gradual transitions. Pierre Soille, Martino Pesaresi, and Georgios K. Ouzounis. Mathematical Morphology and Its Applications to Image and Signal Processing: Proceedings, 10th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing, ISMM 2011, Jul 2011, Verbania-Intra, Italy. Springer, 6671, pp.166-177, 2011, Lecture Notes in Computer Science. <10.1007/978-3-642-21569-8_15>. <hal-00658954>

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