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This paper deals with the case of using nonlinear diffusion filters to obtain piecewise constant images as a previous process for segmentation techniques. We first show an intrinsic formulation for the nonlinear diffusion equation to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Javier Sanguino , Carlos Platero , Olga Velasco

We describe an approach for segmenting an image into regions that correspond to surfaces in the scene that are partially surrounded by the medium. It integrates both appearance and motion statistics into a cost functional, that is seeded…

Computer Vision and Pattern Recognition · Computer Science 2011-09-23 Alper Ayvaci , Stefano Soatto

Compressed Sensing suggests that the required number of samples for reconstructing a signal can be greatly reduced if it is sparse in a known discrete basis, yet many real-world signals are sparse in a continuous dictionary. One example is…

Information Theory · Computer Science 2015-07-24 Yuanxin Li , Yuejie Chi

This paper proposes an automated method to detect, group and rectify arbitrarily-arranged coplanar repeated elements via energy minimization. The proposed energy functional combines several features that model how planes with coplanar…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 James Pritts , Denys Rozumnyi , M. Pawan Kumar , Ondrej Chum

Three-dimensional particle reconstruction with limited two-dimensional projections is an under-determined inverse problem that the exact solution is often difficult to be obtained. In general, approximate solutions can be obtained by…

Image and Video Processing · Electrical Eng. & Systems 2021-09-14 Qi Gao , Shaowu Pan , Hongping Wang , Runjie Wei , Jinjun Wang

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

Safety-critical infrastructures, such as bridges, are periodically inspected to check for existing damage, such as fatigue cracks and corrosion, and to guarantee the safe use of the infrastructure. Visual inspection is the most frequent…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Andrii Kompanets , Remco Duits , Davide Leonetti , Nicky van den Berg , H. H. , Snijder

A series of methods have been proposed to reconstruct an image from compressively sensed random measurement, but most of them have high time complexity and are inappropriate for patch-based compressed sensing capture, because of their…

Computer Vision and Pattern Recognition · Computer Science 2017-06-05 Guangtao Nie , Ying Fu , Yinqiang Zheng , Hua Huang

The work proposes an image segmentation algorithm that isolates slender regions in three-dimensional microstructures. Characterizing slender regions in material microstructures is an extremely important aspect in material science because…

Data Analysis, Statistics and Probability · Physics 2025-03-13 Vinit Vijay Deshpande , Romana Piat

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

We develop a new methodology for the fitting of nonstationary time series that exhibit nonlinearity, asymmetry, local persistence and changes in location scale and shape of the underlying distribution. In order to achieve this goal, we…

Statistics Theory · Mathematics 2016-09-29 Alexander Aue , Rex C. Y. Cheung , Thomas C. M. Lee , Ming Zhong

Segmentation of microscopy images constitutes an ill-posed inverse problem due to measurement noise, weak object boundaries, and limited labeled data. Although deep neural networks provide flexible nonparametric estimators, unconstrained…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Seema K. Poudel , Sunny K. Khadka

Introducing explicit constraints on the structural predictions has been an effective way to improve the performance of semantic segmentation models. Existing methods are mainly based on insufficient hand-crafted rules that only partially…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Boxi Wu , Shuai Zhao , Wenqing Chu , Zheng Yang , Deng Cai

Piece-wise 3D planar reconstruction provides holistic scene understanding of man-made environments, especially for indoor scenarios. Most recent approaches focused on improving the segmentation and reconstruction results by introducing…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yaxu Xie , Fangwen Shu , Jason Rambach , Alain Pagani , Didier Stricker

What is a mathematically rigorous way to describe the taxi-pickup distribution in Manhattan, or the profile information in online social networks? A deep understanding of representing those data not only provides insights to the data…

Signal Processing · Electrical Eng. & Systems 2018-03-09 Siheng Chen , Aarti Singh , Jelena Kovačević

Existing semantic segmentation approaches either aim to improve the object's inner consistency by modeling the global context, or refine objects detail along their boundaries by multi-scale feature fusion. In this paper, a new paradigm for…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Xiangtai Li , Xia Li , Li Zhang , Guangliang Cheng , Jianping Shi , Zhouchen Lin , Shaohua Tan , Yunhai Tong

The estimation of regression parameters in one dimensional broken stick models is a research area of statistics with an extensive literature. We are interested in extending such models by aiming to recover two or more intersecting…

Methodology · Statistics 2025-03-11 Georg Hahn , Moulinath Banerjee , Bodhisattva Sen

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

Recent advances in segmented solid-state detector arrays for rare-event searches have allowed the technology to approach the ton-scale in detector mass and the scale of meters in size. Often focused around searches for neutrinoless…

Instrumentation and Detectors · Physics 2022-07-07 J. Yocum , D. Mayer , J. L. Ouellet , L. Winslow

This work deals with the reconstruction of dynamic images that incorporate characteristic dynamics in certain subregions, as arising for the kinetics of many tracers in emission tomography (SPECT, PET). We make use of a basis function…

Numerical Analysis · Mathematics 2016-08-24 Martin Burger , Carolin Rossmanith , Xiaoqun Zhang