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This paper presents a comprehensive derivation and implementation of the Chan-Vese active contour model for image segmentation. The model, derived from the Mumford-Shah variational framework, evolves contours based on regional intensity…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Pranav Shenoy K. P

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

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

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

As the resolution of digital images increase significantly, the processing of images becomes more challenging in terms of accuracy and efficiency. In this paper, we consider image segmentation by solving a partial differentiation equation…

Computer Vision and Pattern Recognition · Computer Science 2020-07-20 Karrar Abbas , Xianping Li

Compressing piecewise smooth images is important for many data types such as depth maps in 3D videos or optic flow fields for motion compensation. Specialised codecs that rely on explicitly stored segmentations excel in this task since they…

Image and Video Processing · Electrical Eng. & Systems 2020-06-18 Ferdinand Jost , Pascal Peter , Joachim Weickert

We propose a novel method for multi-phase segmentation of images based on high-dimensional local feature vectors. While the method was developed for the segmentation of extremely noisy crystal images based on localized Fourier transforms,…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Niklas Mevenkamp , Benjamin Berkels

We propose a new method for the numerical solution of a PDE-driven model for colour image segmentation and give numerical examples of the results. The method combines the vector-valued Allen-Cahn phase field equation with initial data…

Computer Vision and Pattern Recognition · Computer Science 2018-06-08 David A Kay , Alessandro Tomasi

We proposed an efficient iterative thresholding method for multi-phase image segmentation. The algorithm is based on minimizing piecewise constant Mumford-Shah functional in which the contour length (or perimeter) is approximated by a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Dong Wang , Haohan Li , Xiaoyu Wei , Xiaoping Wang

Hyperspectral images provide a rich representation of the underlying spectrum for each pixel, allowing for a pixel-wise classification/segmentation into different classes. As the acquisition of labeled training data is very time-consuming,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-25 Jan-Christopher Cohrs , Chandrajit Bajaj , Benjamin Berkels

Segmentation is the process of partitioning a digital image into multiple segments (sets of pixels). Such common segmentation tasks including segmenting written text or segmenting tumors from healthy brain tissue in an MRI image, etc.…

Computer Vision and Pattern Recognition · Computer Science 2011-07-18 Rami Cohen

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

The main objective of image segmentation is to divide an image into homogeneous regions for further analysis. This is a significant and crucial task in many applications such as medical imaging. Deep learning (DL) methods have been proposed…

Image and Video Processing · Electrical Eng. & Systems 2023-06-27 Junying Meng , Weihong Guo , Jun Liu , Mingrui Yang

Recent state-of-the-art image segmentation algorithms are mostly based on deep neural networks, thanks to their high performance and fast computation time. However, these methods are usually trained in a supervised manner, which requires…

Computer Vision and Pattern Recognition · Computer Science 2020-01-08 Boah Kim , Jong Chul Ye

In this paper, we propose a SLaT (Smoothing, Lifting and Thresholding) method with three stages for multiphase segmentation of color images corrupted by different degradations: noise, information loss, and blur. At the first stage, a convex…

Computer Vision and Pattern Recognition · Computer Science 2015-06-02 Xiaohao Cai , Raymond Chan , Mila Nikolova , Tieyong Zeng

Image segmentation is a fundamental and challenging task in image processing and computer vision. The color image segmentation is attracting more attention due to the color image provides more information than the gray image. In this paper,…

Image and Video Processing · Electrical Eng. & Systems 2021-03-18 Tingting Wu , Xiaoyu Gu , Jinbo Shao , Ruoxuan Zhou , Zhi Li

In this paper, we introduce a novel parametric method for segmentation of three-dimensional images. We consider a piecewise constant version of the Mumford-Shah and the Chan-Vese functionals and perform a region-based segmentation of 3D…

Computer Vision and Pattern Recognition · Computer Science 2015-06-24 Heike Benninghoff , Harald Garcke

One of the major open problems in computer vision is detection of features in visually impaired images. In this paper, we describe a potential solution using Phase Stretch Transform, a new computational approach for image analysis, edge…

Computer Vision and Pattern Recognition · Computer Science 2017-06-16 Madhuri Suthar , Mohammad Asghari , Bahram Jalali

This paper proposes a novel method for segmentation of images by hierarchical multilevel thresholding. The method is global, agglomerative in nature and disregards pixel locations. It involves the optimization of the ratio of the unbiased…

Computer Vision and Pattern Recognition · Computer Science 2007-12-27 Sreechakra Goparaju , Jayadev Acharya , Ajoy K. Ray , Jaideva C. Goswami

This paper proposes an Allen-Cahn Chan-Vese model to settle the multi-phase image segmentation. We first integrate the Allen--Cahn term and the Chan--Vese fitting energy term to establish an energy functional, whose minimum locates the…

Numerical Analysis · Mathematics 2022-03-29 Chaoyu Liu , Zhonghua Qiao , Qian Zhang
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