Results 21 to 30 of about 59,947 (259)
Riemannian mathematical morphology [PDF]
This paper introduces mathematical morphology operators for real-valued images whose support space is a Riemannian manifold. The starting point consists in replacing the Euclidean distance in the canonical quadratic structuring function by the Riemannian distance used for the adjoint dilation/erosion. We then extend the canonical case to a most general
Jesús Angulo, Santiago Velasco-Forero
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N-ary Mathematical Morphology [PDF]
Abstract Mathematical morphology on binary images can be fully described by set theory. However, it is not sufficient to formulate mathematical morphology for grey scale images. This type of images requires the introduction of the notion of partial order of grey levels, together with the definition of sup and inf operators.
Chevallier, Emmanuel +2 more
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As special aggregation functions, overlap functions have been widely used in the soft computing field. In this work, with the aid of overlap functions, two new groups of fuzzy mathematical morphology (FMM) operators were proposed and applied to image ...
Xiaohong Zhang, Mengyuan Li, Hui Liu
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On Nonlocal Mathematical Morphology [PDF]
In this paper, nonlocal mathematical morphology operators are introduced as a natural extension of nonlocal-means in the max-plus algebra. Firstly, we show that nonlocal morphology is a particular case of adaptive morphology. Secondly, we present the necessary properties to have algebraic properties on the associated pair of transformations.
Santiago Velasco-Forero, Jesús Angulo
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Nonlocal and multivariate mathematical morphology [PDF]
The generalization of mathematical morphology to multivariate images is addressed in this paper. The proposed approach is fully unsupervised and consists in constructing a complete lattice from an image as a rank transformation together with a learned ordering of vectors. This unsupervised ordering of vectors relies on three steps: dictionary learning,
Olivier Lezoray, Abderrahim Elmoataz
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Aspects of mathematical morphology [PDF]
In this paper we review the basic concepts of integral-geometry-based morphological image analysis. This approach yields an objective, numerical characterization of two- and three-dimensional patterns in terms of geometrical and topological descriptors called Minkowski functionals.
Michielsen, K.F L +2 more
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The physical dimensions and shape of bacterial cells define the surface area available to acquire nutrients and the volume available for synthesizing proteins and DNA. Here, we use computational systems biology to decode the importance of cell geometry as a major determinant of prokaryotic phenotype, including growth rate and metabolic efficiency. This
Ross P. Carlson +6 more
wiley +1 more source
Composite morphological structural element in the edge detecting
Rajs Arkadiusz, Aleksiewicz Mariusz, Goździewska-Nowicka Agnieszka, Parczyk Krystyna. Composite morphological structural element in the edge detecting. Journal of Education, Health and Sport. 2016;6(11):299-304. eISSN 2391-8306.
Arkadiusz Rajs +3 more
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This study investigates long-term landscape transformations (1949–2016) in urban Rome, Central Italy, through a spatial distribution of seven metrics (core, islet, perforation, edge, loop, bridge, branch) derived from a Morphological Spatial Pattern ...
Samaneh Sadat Nickayin +8 more
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Patient‐derived organoids (PDOs) from pancreatic, colorectal, and gastric cancers were used to evaluate standard and experimental therapies. Incorporating cancer‐associated fibroblasts (CAFs) into organoid cultures improved patient therapy outcome prediction.
Marcin Grochowski +12 more
wiley +1 more source

