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In contemporary image and vision analysis, stochastic approaches demonstrate great flexibility in representing and modeling complex phenomena, while variational-PDE methods gain enormous computational advantages over Monte-Carlo or other…

Optimization and Control · Mathematics 2007-05-23 Jianhong Shen

Hierarchical clustering is an effective and efficient approach widely used for classical image segmentation methods. However, many existing methods using neural networks generate segmentation masks directly from per-pixel features,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Teppei Suzuki

We present a method for hierarchical image segmentation that defines a disaffinity graph on the image, over-segments it into watershed basins, defines a new graph on the basins, and then merges basins with a modified, size-dependent version…

Computer Vision and Pattern Recognition · Computer Science 2015-05-04 Aleksandar Zlateski , H. Sebastian Seung

A levelset free but a hybrid image segmentation approach based on a modified version of the piece wise constant shape gradient of an Mumford Shah shape functional and a repulsive function is considered. The segmentation is performed a…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Shafeequdheen Palengara , Jyotiranjan Nayak , Vijayakrishna Rowthu

Understanding the context of complex and cluttered scenes is a challenging problem for semantic segmentation. However, it is difficult to model the context without prior and additional supervision because the scene's factors, such as the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-06 Hiroaki Aizawa , Yukihiro Domae , Kunihito Kato

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

Minimizing the Mumford-Shah functional is frequently used for smoothing signals or time series with discontinuities. A significant limitation of the standard Mumford-Shah model is that linear trends -- and in general polynomial trends -- in…

Numerical Analysis · Mathematics 2019-08-08 Martin Storath , Lukas Kiefer , Andreas Weinmann

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

Multi-scale architecture, including hierarchical vision transformer, has been commonly applied to high-resolution semantic segmentation to deal with computational complexity with minimum performance loss. In this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2024-06-17 Jiwon Yoo , Jangwon Lee , Gyeonghwan Kim

This work focuses on a parameter-free joint piecewise smooth image denoising and contour detection. Formulated as the minimization of a discrete Mumford-Shah functional and estimated via a theoretically grounded alternating minimization…

Image and Video Processing · Electrical Eng. & Systems 2023-02-01 Charles-Gérard Lucas , Barbara Pascal , Nelly Pustelnik , Patrice Abry

Image segmentation is an important component of many image understanding systems. It aims to group pixels in a spatially and perceptually coherent manner. Typically, these algorithms have a collection of parameters that control the degree…

Computer Vision and Pattern Recognition · Computer Science 2018-02-02 Marc Bosch , Christopher M. Gifford , Austin G. Dress , Clare W. Lau , Jeffrey G. Skibo , Gordon A. Christie

The Mumford-Shah (MS) model is an important technique for mesh segmentation. Many existing researches focus on piecewise constant MS mesh segmentation model with total variation regularization, which pursue the shortest length of…

Computational Geometry · Computer Science 2025-07-28 Huayan Zhang , Shanqiang Wang , Xiaochao Wang

Segmentation remains an important problem in image processing. For homogeneous (piecewise smooth) images, a number of important models have been developed and refined over the past several decades. However, these models often fail when…

Computer Vision and Pattern Recognition · Computer Science 2016-07-01 Duy Hoang Thai , Lucas Mentch

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

The paper deals with variational approaches to the segmentation of time series into smooth pieces, but allowing for sharp breaks. In discrete time, the corresponding functionals are of Blake-Zisserman type. Their natural counterpart in…

Functional Analysis · Mathematics 2007-05-23 Angela Kempe , Volkmar Liebscher , Gerhard Winkler , Olaf Wittich

The random walker method for image segmentation is a popular tool for semi-automatic image segmentation, especially in the biomedical field. However, its linear asymptotic run time and memory requirements make application to 3D datasets of…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Dominik Drees , Florian Eilers , Xiaoyi Jiang

Machine-learning algorithms offer immense possibilities in the development of several cognitive applications. In fact, large scale machine-learning classifiers now represent the state-of-the-art in a wide range of object…

Computer Vision and Pattern Recognition · Computer Science 2016-09-21 Priyadarshini Panda , Swagath Venkataramani , Abhronil Sengupta , Anand Raghunathan , Kaushik Roy

Multi-region segmentation algorithms often have the onus of incorporating complex anatomical knowledge representing spatial or geometric relationships between objects, and general-purpose methods of addressing this knowledge in an…

Computer Vision and Pattern Recognition · Computer Science 2014-06-09 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

This paper defines the basis of a new hierarchical framework for segmentation algorithms based on energy minimization schemes. This new framework is based on two formal tools. First, a combinatorial pyramid encode efficiently a hierarchy of…

Computer Vision and Pattern Recognition · Computer Science 2009-06-16 Martin Braure De Calignon , Luc Brun , Jacques-Olivier Lachaud

The piecewise constant Mumford-Shah (PCMS) model and the Rudin-Osher-Fatemi (ROF) model are two important variational models in image segmentation and image restoration, respectively. In this paper, we explore a linkage between these…

Numerical Analysis · Mathematics 2020-05-14 Xiaohao Cai , Raymond Chan , Carola-Bibiane Schonlieb , Gabriele Steidl , Tieyong Zeng