Journal of Mathematical Imaging and Vision
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Stochastic Primal–Dual Hybrid Gradient Algorithm with Adaptive Step Sizes
Journal of Mathematical Imaging and Vision - - 2024
In this work, we propose a new primal–dual algorithm with adaptive step sizes. The stochastic primal–dual hybrid gradient (SPDHG) algorithm with constant step sizes has become widely applied in large-scale convex optimization across many scientific fields due to its scalability. While the product of the primal and dual step sizes is subject to an upper-bound in order to ensure convergence, the sel......
Homography Estimation from Ellipse Correspondences Based on the Common Self-polar Triangle
Journal of Mathematical Imaging and Vision - Tập 62 - Trang 169-188 - 2019
This paper presents new implementation algorithms for estimating the homography from ellipse correspondences based on the common self-polar triangle. Firstly, we propose an analytical solution with a fourfold ambiguity to homography based on converting two ellipse correspondences to three common pole correspondences. Secondly, after exploring the position information of the common poles, we propos......
Morphological Hierarchies: A Unifying Framework with New Trees
Journal of Mathematical Imaging and Vision - Tập 65 - Trang 718-753 - 2023
Morphological hierarchies constitute a rich and powerful family of graph-based structures that can be used for image modeling, processing and analysis. In this article, we focus on an important subfamily of morphological hierarchies, namely the trees that model partial partitions of the image support. This subfamily includes in particular the component-tree and the tree of shapes. In this context,......
Erratum to: A New Class of Wavelet-Based Metrics for Image Similarity Assessment
Journal of Mathematical Imaging and Vision - Tập 60 - Trang 283-283 - 2017
Grey-Scale Morphology Based on Fuzzy Logic
Journal of Mathematical Imaging and Vision - - 2002
There exist several methods to extend binary morphology to grey-scale images. One of these methods is based on fuzzy logic and fuzzy set theory. Another approach starts from the complete lattice framework for morphology and the theory of adjunctions. In this paper, both approaches are combined. The basic idea is to use (fuzzy) conjunctions and implications which are adjoint in the definition of di......
The generalized matrix product and the wavelet transform
Journal of Mathematical Imaging and Vision - Tập 3 Số 1 - Trang 95-104 - 1993
Multiscale Texture Extraction with Hierarchical (BV,G p ,L 2) Decomposition
Journal of Mathematical Imaging and Vision - Tập 45 - Trang 148-163 - 2012
In this paper, we first present a hierarchical (BV,G
p
,L
2) variational decomposition model and then use it to achieve multiscale texture extraction which offers a hierarchical, separated representation of image texture in different scales. The starting point is the use of the variational (BV,G
p......
Removing Multiplicative Noise by Douglas-Rachford Splitting Methods
Journal of Mathematical Imaging and Vision - Tập 36 - Trang 168-184 - 2009
In this paper, we consider a variational restoration model consisting of the I-divergence as data fitting term and the total variation semi-norm or nonlocal means as regularizer for removing multiplicative Gamma noise. Although the I-divergence is the typical data fitting term when dealing with Poisson noise we substantiate why it is also appropriate for cleaning Gamma noise. We propose to compute......
Field of Particle Filters for Image Inpainting
Journal of Mathematical Imaging and Vision - Tập 31 Số 2-3 - Trang 147-156 - 2008
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