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The present work investigates the segmentation of textures by formulating it as a strongly convex optimization problem, aiming to favor piecewise constancy of fractal features (local variance and local regularity) widely used to model…

Optimization and Control · Mathematics 2021-04-19 Barbara Pascal , Nelly Pustelnik , Patrice Abry

This article introduces the Stochastic Texture Difference method for analyzing data at prescribed spatial and value scales. This method relies on constrained random walks around each pixel, describing how nearby image values typically…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Nicolas Brodu , Hussein Yahia

Features that capture well the textural patterns of a certain class of images are crucial for the performance of texture segmentation methods. The manual selection of features or designing new ones can be a tedious task. Therefore, it is…

Computer Vision and Pattern Recognition · Computer Science 2018-02-14 Martin Kiechle , Martin Storath , Andreas Weinmann , Martin Kleinsteuber

Texture is intuitively defined as a repeated arrangement of a basic pattern or object in an image. There is no mathematical definition of a texture though. The human visual system is able to identify and segment different textures in a…

Computer Vision and Pattern Recognition · Computer Science 2013-07-01 Aditya Tatu , Sumukh Bansal

Wavelet-based segmentation approaches are widely used for texture segmentation purposes because of their ability to characterize different textures. In this paper, we assess the influence of the chosen wavelet and propose to use the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Yuan Huang , Valentin De Bortoli , Fugen Zhou , Jerome Gilles

We consider the problem of surface segmentation, where the goal is to partition a surface represented by a triangular mesh. The segmentation is based on the similarity of the normal vector field to a given set of label vectors. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Manuel Weiß , Lukas Baumgärtner , Laura Weigl , Ronny Bergmann , Stephan Schmidt , Roland Herzog

We investigate the ability of a local bi-orthogonal decomposition to build texture segmentation of images. Using the structures associated to the local decomposition of the image independent row and columns we perform a segmentation, where…

chao-dyn · Physics 2008-02-03 J. A. Dente , R. Vilela Mendes , R. Lima

We modify the total-variation-regularized image segmentation model proposed by Chan, Esedoglu and Nikolova [SIAM Journal on Applied Mathematics 66, 2006] by introducing local regularization that takes into account spatial image information.…

Numerical Analysis · Mathematics 2020-08-06 Laura Antonelli , Valentina De Simone , Daniela di Serafino

We introduce one-shot texture segmentation: the task of segmenting an input image containing multiple textures given a patch of a reference texture. This task is designed to turn the problem of texture-based perceptual grouping into an…

Computer Vision and Pattern Recognition · Computer Science 2018-07-10 Ivan Ustyuzhaninov , Claudio Michaelis , Wieland Brendel , Matthias Bethge

Image Segmentation is one of the core tasks in Computer Vision and solving it often depends on modeling the image appearance data via the color distributions of each it its constituent regions. Whereas many segmentation algorithms handle…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jeova Farias Sales Rocha Neto

To solve the issue of segmenting rich texture images, a novel detection methods based on the affine invariable principle is proposed. Considering the similarity between the texture areas, we first take the affine transform to get numerous…

Image and Video Processing · Electrical Eng. & Systems 2017-12-27 Jianwei Zhang , Xu Chen , Xuezhong Xiao

Most superpixel algorithms compute a trade-off between spatial and color features at the pixel level. Hence, they may need fine parameter tuning to balance the two measures, and highly fail to group pixels with similar local texture…

Computer Vision and Pattern Recognition · Computer Science 2025-09-18 Remi Giraud , Vinh-Thong Ta , Nicolas Papadakis , Yannick Berthoumieu

Unsupervised evaluation of segmentation quality is a crucial step in image segmentation applications. Previous unsupervised evaluation methods usually lacked the adaptability to multi-scale segmentation. A scale-constrained evaluation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-16 Yuhang Lu , Youchuan Wan , Gang Li

Multifractal analysis (MFA) provides a framework for the global characterization of image textures by describing the spatial fluctuations of their local regularity based on the multifractal spectrum. Several works have shown the interest of…

Image and Video Processing · Electrical Eng. & Systems 2025-12-15 Kareth M. León-López , Abderrahim Halimi , Jean-Yves Tourneret , Herwig Wendt

We transpose an optimal control technique to the image segmentation problem. The idea is to consider image segmentation as a parameter estimation problem. The parameter to estimate is the color of the pixels of the image. We use the…

Numerical Analysis · Mathematics 2011-05-24 Hend Ben Ameur , Guy Chavent , Francois Clément , Pierre Weis

Algorithms for automatically selecting a scalar or locally varying regularization parameter for total variation models with an $L^{\tau}$-data fidelity term, $\tau\in \{1,2\}$, are presented. The automated selection of the regularization…

Numerical Analysis · Mathematics 2017-01-02 Andreas Langer

In the context of texture segmentation in images, and provide some theoretical guarantees for the prototypical approach which consists in extracting local features in the neighborhood of a pixel and then applying a clustering algorithm for…

Statistics Theory · Mathematics 2020-11-25 Lin Zheng

Texture synthesis is widely used in the field of computer graphics, vision, and image processing. In the present paper, a texture synthesis algorithm is proposed for near-regular natural textures with the help of a representative periodic…

Computer Vision and Pattern Recognition · Computer Science 2017-06-23 V. Asha

Texture characterization is a central element in many image processing applications. Multifractal analysis is a useful signal and image processing tool, yet, the accurate estimation of multifractal parameters for image texture remains a…

Data Analysis, Statistics and Probability · Physics 2015-05-27 Sébastien Combrexelle , Herwig Wendt , Nicolas Dobigeon , Jean-Yves Tourneret , Steve McLaughlin , Patrice Abry

Estimates of image gradients play a ubiquitous role in image segmentation and classification problems since gradients directly relate to the boundaries or the edges of a scene. This paper proposes an unified approach to gradient estimation…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Anish Acharya , Uddipan Mukherjee , Charless Fowlkes
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