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Related papers: Hyperparameter selection for Discrete Mumford-Shah

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This study introduces a novel unsupervised medical image feature extraction method that employs spatial stratification techniques. An objective function based on weight is proposed to achieve the purpose of fast image recognition. The…

Image and Video Processing · Electrical Eng. & Systems 2024-06-28 Qishi Zhan , Dan Sun , Erdi Gao , Yuhan Ma , Yaxin Liang , Haowei Yang

In this paper, we construct an algorithm for minimising piecewise smooth functions for which derivative information is not available. The algorithm constructs a pair of quadratic functions, one on each side of the point with smallest known…

Optimization and Control · Mathematics 2020-12-14 Jonathan Grant-Peters , Raphael Hauser

Finding a match between partially available deformable shapes is a challenging problem with numerous applications. The problem is usually approached by computing local descriptors on a pair of shapes and then establishing a point-wise…

Computer Vision and Pattern Recognition · Computer Science 2011-02-01 Jonathan Pokrass , Alexander M. Bronstein , Michael M. Bronstein

Hierarchies, such as the tree of shapes, are popular representations for image simplification and segmentation thanks to their multiscale structures. Selecting meaningful level lines (boundaries of shapes) yields to simplify image while…

Computer Vision and Pattern Recognition · Computer Science 2016-05-18 Yongchao Xu , Thierry Géraud , Laurent Najman

Image segmentation is an important median level vision topic. Accurate and efficient multiphase segmentation for images with intensity inhomogeneity is still a great challenge. We present a new two-stage multiphase segmentation method…

Optimization and Control · Mathematics 2020-09-15 Xueyan Guo , Yunhua Xue , Chunlin Wu

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

Optimization and Control · Mathematics 2021-02-02 Zhi Li , Wei Shi , Ming Yan

The binary Mumford-Shah model is a widespread tool for image segmentation and can be considered as a basic model in shape optimization with a broad range of applications in computer vision, ranging from basic segmentation and labeling to…

Numerical Analysis · Mathematics 2015-05-21 Benjamin Berkels , Alexander Effland , Martin Rumpf

Current algorithmic approaches for piecewise affine motion estimation are based on alternating motion segmentation and estimation. We propose a new method to estimate piecewise affine motion fields directly without intermediate…

Computer Vision and Pattern Recognition · Computer Science 2018-02-07 Denis Fortun , Martin Storath , Dennis Rickert , Andreas Weinmann , Michael Unser

In the paper the optimal image segmentation by means of piecewise constant approximations is considered. The optimality is defined by a minimum value of the total squared error or by equivalent value of standard deviation of the…

Computer Vision and Pattern Recognition · Computer Science 2012-10-09 M. Kharinov

Boundary detection of irregular and translucent objects is an important problem with applications in medical imaging, environmental monitoring and manufacturing, where many of these applications are plagued with scarce labeled data and low…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Fei Yu Guan , Ian Keefe , Sophie Wilkinson , Daniel D. B. Perrakis , Steven Waslander

Sparse representation of real-life images is a very effective approach in imaging applications, such as denoising. In recent years, with the growth of computing power, data-driven strategies exploiting the redundancy within patches…

Image and Video Processing · Electrical Eng. & Systems 2022-08-25 Sayantan Dutta , Adrian Basarab , Bertrand Georgeot , Denis Kouamé

Denoising is omnipresent in image processing. It is usually addressed with algorithms relying on a set of hyperparameters that control the quality of the recovered image. Manual tuning of those parameters can be a daunting task, which calls…

Image and Video Processing · Electrical Eng. & Systems 2024-01-19 Arthur Floquet , Sayantan Dutta , Emmanuel Soubies , Duong Hung Pham , Denis Kouame

Extracting digital material representations from images is a necessary prerequisite for a quantitative analysis of material properties. Different segmentation approaches have been extensively studied in the past to achieve this task, but…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 Julian Grolig , Lars Griem , Michael Selzer , Hans-Ulrich Kauczor , Simon M. F. Triphan , Britta Nestler , Arnd Koeppe

In this paper, we propose a unified energy minimization model for the segmentation of non-smooth image structures. The energy of piecewise linear patch reconstruction is considered as an objective measure of the quality of the segmentation…

Computer Vision and Pattern Recognition · Computer Science 2014-04-08 Junyan Wang , Kap Luk Chan

High-dimensional feature selection is a central problem in a variety of application domains such as machine learning, image analysis, and genomics. In this paper, we propose graph-based tests as a useful basis for feature selection. We…

Methodology · Statistics 2024-08-13 Swarnadip Ghosh , Somabha Mukherjee , Divyansh Agarwal , Yichen He , Mingzhi Song , Xuejiao Pei

The need for an efficient method of integration of a dense normal field is inspired by several computer vision tasks, such as shape-from-shading, photometric stereo, deflectometry, etc. Inspired by edge-preserving methods from image…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Yvain Quéau , Jean-Denis Durou , Jean-François Aujol

The geometric constraints of Zhou et al. (2015) are a widely used technique in topology/freeform optimization to impose minimum lengthscales for manufacturability. However, its efficacy degrades as design binarization is increased, and it…

Optics · Physics 2025-07-23 Rodrigo Arrieta , Giuseppe Romano , Steven G. Johnson

Mesh deformation plays a pivotal role in many 3D vision tasks including dynamic simulations, rendering, and reconstruction. However, defining an efficient discrepancy between predicted and target meshes remains an open problem. A prevalent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Tung Le , Khai Nguyen , Shanlin Sun , Kun Han , Nhat Ho , Xiaohui Xie

Stein's unbiased risk estimator (SURE) has been shown to be an effective metric for determining optimal parameters for many applications. The topic of this article is focused on the use of SURE for determining parameters for blind…

Numerical Analysis · Mathematics 2022-03-01 Toby Sanders

This paper proposes a model-free and data-adaptive feature screening method for ultra-high dimensional datasets. The proposed method is based on the projection correlation which measures the dependence between two random vectors. This…

Methodology · Statistics 2021-02-16 Wanjun Liu , Yuan Ke , Jingyuan Liu , Runze Li