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Image segmentation is an important task in the domain of computer vision and medical imaging. In natural and medical images, intensity inhomogeneity, i.e. the varying image intensity, occurs often and it poses considerable challenges for…

Image and Video Processing · Electrical Eng. & Systems 2019-04-04 Raymond Chan , Hongfei Yang , Tieyong Zeng

In this paper, we introduce a novel approach for active contours with free endpoints. A scheme is presented for image segmentation and restoration based on a discrete version of the Mumford-Shah functional where the contours can be both…

Computer Vision and Pattern Recognition · Computer Science 2016-04-20 Heike Benninghoff , Harald Garcke

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

The performance of image segmentation highly relies on the original inputting image. When the image is contaminated by some noises or blurs, we can not obtain the efficient segmentation result by using direct segmentation methods. In order…

Optimization and Control · Mathematics 2016-05-31 Baoli Shi , Zhi-Feng Pang , Jing Xu

We propose an unsupervised image segmentation approach, that combines a variational energy functional and deep convolutional neural networks. The variational part is based on a recent multichannel multiphase Chan-Vese model, which is…

Computer Vision and Pattern Recognition · Computer Science 2023-06-19 Nadja Gruber , Johannes Schwab , Sebastien Court , Elke Gizewski , Markus Haltmeier

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

Image segmentation is the problem of partitioning an image into different subsets, where each subset may have a different characterization in terms of color, intensity, texture, and/or other features. Segmentation is a fundamental component…

Computer Vision and Pattern Recognition · Computer Science 2015-11-03 M. Abdelsamea

Piecewise constant image approximations of sequential number of segments or clusters of disconnected pixels are treated. The method of majorizing of optimal approximation sequence by hierarchical sequence of image approximations is…

Computer Vision and Pattern Recognition · Computer Science 2013-10-02 M. Kharinov

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

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

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

Starting from a variational formulation, we present a model for image segmentation that employs both region statistics and edge information. This combination allows for improved flexibility, making the proposed model suitable to process a…

Analysis of PDEs · Mathematics 2019-10-15 Carlos M. Paniagua Mejia

Image restoration is a class of important tasks that emerges from a wide range of scientific disciplines. It has been noticed that most practical images can be modeled as a composition from a sparse singularity set (edges) where the image…

Functional Analysis · Mathematics 2024-01-08 Bin Dong , Ting Lin , Zuowei Shen , Peichu Xie

A non parametric, level set free method is proposed for detecting image boundaries using the shape gradient of the Mumford Shah energy for segmentation. Minimizing the variance in pixel intensities inside and outside a boundary set of…

Analysis of PDEs · Mathematics 2025-05-06 Shafeequdheen P , Jyotiranjan Nayak , Vijayakrishna Rowthu

The goal of this paper is to present a new efficient image segmentation method based on evolutionary computation which is a model inspired from human behavior. Based on this model, a four layer process for image segmentation is proposed…

Computer Vision and Pattern Recognition · Computer Science 2017-12-07 Roohollah Aslanzadeh , Kazem Qazanfari , Mohammad Rahmati

Semantic image segmentation is an important computer vision task that is difficult because it consists of both recognition and segmentation. The task is often cast as a structured output problem on an exponentially large output-space, which…

Computer Vision and Pattern Recognition · Computer Science 2017-09-07 Payman Yadollahpour

We address the problem of soft color segmentation, defined as decomposing a given image into several RGBA layers, each containing only homogeneous color regions. The resulting layers from decomposition pave the way for applications that…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Naofumi Akimoto , Huachun Zhu , Yanghua Jin , Yoshimitsu Aoki

Quantitative image analysis often depends on accurate classification of pixels through a segmentation process. However, imaging artifacts such as the partial volume effect and sensor noise complicate the classification process. These…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Brendan A. West , Taylor S. Hodgdon , Matthew D. Parno , Arnold J. Song

Image segmentation is a fundamental research topic in image processing and computer vision. In the last decades, researchers developed a large number of segmentation algorithms for various applications. Amongst these algorithms, the…

Computer Vision and Pattern Recognition · Computer Science 2020-02-26 Faqiang Wang , Cuicui Zhao , Jun Liu , Haiyang Huang