Mathematical Morphology and Its Applications to Signal and Image Processing
13th International Symposium, ISMM 2017, Fontainebleau, France, May 15–17, 2017, Proceedings
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11 Result(s)
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Santiago Velasco-Forero
Computer Science
English
Math Applications in Computer Science
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Chapter and Conference Paper
Max-Plus Operators Applied to Filter Selection and Model Pruning in Neural Networks
Following recent advances in morphological neural networks, we propose to study in more depth how Max-plus operators can be exploited to define morphological units and how they behave when incorporated in laye...
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Chapter and Conference Paper
Part-Based Approximations for Morphological Operators Using Asymmetric Auto-encoders
This paper addresses the issue of building a part-based representation of a dataset of images. More precisely, we look for a non-negative, sparse decomposition of the images on a reduced set of atoms, in order...
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Book and Conference Proceedings
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Chapter and Conference Paper
Morphological Semigroups and Scale-Spaces on Ultrametric Spaces
Ultrametric spaces are the natural mathematical structure to deal with data embedded into a hierarchical representation. This kind of representations is ubiquitous in morphological image processing, from pyram...
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Chapter and Conference Paper
Prior-Based Hierarchical Segmentation Highlighting Structures of Interest
Image segmentation is the process of partitioning an image into a set of meaningful regions according to some criteria. Hierarchical segmentation has emerged as a major trend in this regard as it favors the em...
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Chapter and Conference Paper
Inner-Cheeger Opening and Applications
The aim of this paper is to study an optimal opening in the sense of minimize the relationship perimeter over area. We analyze theoretical properties of this opening by means of classical results from variatio...
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Chapter and Conference Paper
Mathematical Morphology for Real-Valued Images on Riemannian Manifolds
This paper introduces mathematical morphology for real-valued images whose support space is a Riemannian manifold. The starting point consists in replacing the Euclidean distance in the canonic quadratic struc...
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Chapter and Conference Paper
Stochastic Morphological Filtering and Bellman-Maslov Chains
This paper introduces a probabilistic framework for adaptive morphological dilation and erosion. More precisely our probabilistic formalization is based on using random walk simulations for a stochastic estima...
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Chapter and Conference Paper
On Nonlocal Mathematical Morphology
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 adap...
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Chapter and Conference Paper
Mathematical Morphology for Vector Images Using Statistical Depth
The open problem of the generalization of mathematical morphology to vector images is handled in this paper using the paradigm of depth functions. Statistical depth functions provide from the “deepest” point a...
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Chapter and Conference Paper
Sparse Mathematical Morphology Using Non-negative Matrix Factorization
Sparse modelling involves constructing a succinct representation of initial data as a linear combination of a few typical atoms of a dictionary. This paper deals with the use of sparse representations to intro...
