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In this article, a new method for segmentation and restoration of images on two-dimensional surfaces is given. Active contour models for image segmentation are extended to images on surfaces. The evolving curves on the surfaces are…

Computer Vision and Pattern Recognition · Computer Science 2015-05-04 Heike Benninghoff , Harald Garcke

Curve evolution schemes for image segmentation based on a region based contour model allowing for junctions, vector-valued images and topology changes are introduced. Together with an a posteriori denoising in the segmented homogeneous…

Computer Vision and Pattern Recognition · Computer Science 2013-08-13 Heike Benninghoff , Harald Garcke

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

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

Image segmentation and image restoration are two important topics in image processing with great achievements. In this paper, we propose a new multiphase segmentation model by combining image restoration and image segmentation models.…

Computer Vision and Pattern Recognition · Computer Science 2014-05-12 Xiaohao Cai

In this paper we present a novel approach for representing and evolving deformable active contours. The method combines piecewise regular B{\'e}zier models and curve evolution defined by local Free Form Deformation. The contour deformation…

Robotics · Computer Science 2016-06-16 Ouiddad Labbani I. , Pauline Merveilleux O , Olivier Ruatta

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

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

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

Image segmentation is the process of partitioning a image into different regions or groups based on some characteristics like color, texture, motion or shape etc. Active contours is a popular variational method for object segmentation in…

Computer Vision and Pattern Recognition · Computer Science 2013-11-12 Sumukh Bansal , Aditya Tatu

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

In this paper, we present a comprehensive study and analysis of the Chan-Vese algorithm for image segmentation. We employ a discretized scheme derived from the empirical study of the Chan-Vese model's functional energy and its partial…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Gianluca Guzzetta

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

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

Topological alignments and snakes are used in image processing, particularly in locating object boundaries. Both of them have their own advantages and limitations. To improve the overall image boundary detection system, we focused on…

Computer Vision and Pattern Recognition · Computer Science 2011-06-03 Ashraf A. Aly , Safaai Bin Deris , Nazar Zaki

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

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

This paper introduces a novel approach that combines unsupervised active contour models with deep learning for robust and adaptive image segmentation. Indeed, traditional active contours, provide a flexible framework for contour evolution…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Antoine Habis , Vannary Meas-Yedid , Elsa Angelini , Jean-Christophe Olivo-Marin

In this paper, we propose a novel locally statistical variational active contour model based on I-divergence-TV denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model, and can be…

Computer Vision and Pattern Recognition · Computer Science 2025-08-19 Guangming Liu

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
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