Journal of Mathematical Imaging and Vision
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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,......
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......
Appreciation to Journal of Mathematical Imaging Reviewers
Journal of Mathematical Imaging and Vision - Tập 51 - Trang 357-360 - 2015
Differential-Based Geometry and Texture Editing with Brushes
Journal of Mathematical Imaging and Vision - Tập 48 - Trang 359-368 - 2013
We present an interactive modeling framework for 3D shapes and for texture maps. The technique combines a differential-based deformation method with the idea of geometry brushes that allow to interactively apply modifications by painting on the geometry. Whereas most other deformation techniques demand the designer to define and move hard constrained regions on the surface, the proposed modeling p......
Adaptive Matrices and Filters for Color Texture Classification
Journal of Mathematical Imaging and Vision - Tập 47 - Trang 79-92 - 2012
In this paper we introduce an integrative approach towards color texture classification and recognition using a supervised learning framework. Our approach is based on Generalized Learning Vector Quantization (GLVQ), extended by an adaptive distance measure, which is defined in the Fourier domain, and adaptive filter kernels based on Gabor filters. We evaluate the proposed technique on two sets of......
Globally Optimal Joint Image Segmentation and Shape Matching Based on Wasserstein Modes
Journal of Mathematical Imaging and Vision - Tập 52 Số 3 - Trang 436-458 - 2015
Error Analysis for Image Inpainting
Journal of Mathematical Imaging and Vision - Tập 26 - Trang 85-103 - 2006
Image inpainting refers to restoring a damaged image with missing information. In recent years, there have been many developments on computational approaches to image inpainting problem [2, 4, 6, 9, 11–13, 27, 28]. While there are many effective algorithms available, there is still a lack of theoretical understanding on under what conditions these algorithms work well. In this paper, we take a ste......
PCA-AE: Principal Component Analysis Autoencoder for Organising the Latent Space of Generative Networks
Journal of Mathematical Imaging and Vision - - 2022
Degeneracy of the Intersection of Three Quadrics
Journal of Mathematical Imaging and Vision - Tập 61 - Trang 352-358 - 2018
We prove that the 8-point algorithm always fails to reconstruct a unique fundamental matrix F independent on the camera positions, when its inputs are image point configurations that are perspective projections of the intersection of three quadrics in
$$\mathbb {P}^3$$
......
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