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For many applications, we need to use techniques to represent convex shapes and objects. In this work, we use level set method to represent shapes and find a necessary and sufficient condition on the level set function to guarantee the…

Numerical Analysis · Mathematics 2018-11-13 Shousheng Luo , Xue-cheng Tai

In this work, we present a new efficient method for convex shape representation, which is regardless of the dimension of the concerned objects, using level-set approaches. Convexity prior is very useful for object completion in computer…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Lingfeng li , Shousheng Luo , Xue-Cheng Tai , Jiang Yang

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2014-12-11 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

We propose and analyze a constrained level-set method for semi-automatic image segmentation. Our level-set model with constraints on the level-set function enables us to specify which parts of the image lie inside respectively outside the…

Numerical Analysis · Mathematics 2015-01-07 Vladimír Klement , Tomáš Oberhuber , Daniel Ševčovič

Chan-Vese algorithms have proven to be a first-class method for image segmentation. Early implementations used level set methods with a pixelwise representation of the level set function. Later, parametrized level set approximations, such…

Numerical Analysis · Mathematics 2026-05-13 Otmar Scherzer , Cong Shi , Thi Lan Nhi Vu

Convexity is a fundamental geometric prior that underlies many natural and man-made structures, yet remains challenging to impose effectively in end-to-end trainable segmentation networks. We revisit convexity from a functional perspective…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Shengzhe Chen , Hao Yan

Selective segmentation is an important application of image processing. In contrast to global segmentation in which all objects are segmented, selective segmentation is used to isolate specific objects in an image and is of particular…

Numerical Analysis · Mathematics 2019-07-08 Michael Roberts , Ke Chen , Klaus L. Irion

The minimal geodesic models based on the Eikonal equations are capable of finding suitable solutions in various image segmentation scenarios. Existing geodesic-based segmentation approaches usually exploit image features in conjunction with…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Da Chen , Jean-Marie Mirebeau , Minglei Shu , Xuecheng Tai , Laurent D. Cohen

Image segmentation is an essential component in many image processing and computer vision tasks. The primary goal of image segmentation is to simplify an image for easier analysis, and there are two broad approaches for achieving this: edge…

Computer Vision and Pattern Recognition · Computer Science 2021-12-24 J. N. Mueller , J. N. Corcoran

Optimal surface segmentation is a state-of-the-art method used for segmentation of multiple globally optimal surfaces in volumetric datasets. The method is widely used in numerous medical image segmentation applications. However, nodes in…

Computer Vision and Pattern Recognition · Computer Science 2019-02-18 Abhay Shah , Michael D. Abramoff , Xiaodong Wu

We present a new algorithm for image segmentation - Level-set KSVD. Level-set KSVD merges the methods of sparse dictionary learning for feature extraction and variational level-set method for image segmentation. Specifically, we use a…

Computer Vision and Pattern Recognition · Computer Science 2023-11-15 Omer Sapir , Iftach Klapp , Nir Sochen

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

Convex Shapes (CS) are common priors for optic disc and cup segmentation in eye fundus images. It is important to design proper techniques to represent convex shapes. So far, it is still a problem to guarantee that the output objects from a…

Computer Vision and Pattern Recognition · Computer Science 2020-05-18 Jun Liu , Xue-Cheng Tai , Shousheng Luo

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

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

Selective segmentation involves incorporating user input to partition an image into foreground and background, by discriminating between objects of a similar type. Typically, such methods involve introducing additional constraints to…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Michael Roberts , Jack Spencer

In this paper we propose a high-order accurate scheme for image segmentation based on the level-set method. In this approach, the curve evolution is described as the 0-level set of a representation function but we modify the velocity that…

Numerical Analysis · Mathematics 2020-01-08 Maurizio Falcone , Giulio Paolucci , Silvia Tozza

The elliptical shape prior information plays a vital role in improving the accuracy of image segmentation for specific tasks in medical and natural images. Existing deep learning-based segmentation methods, including the Segment Anything…

Computer Vision and Pattern Recognition · Computer Science 2025-04-18 Xinyu Zhao , Jun Liu , Faqiang Wang , Li Cui , Yuping Duan

Shape priors have been widely utilized in medical image segmentation to improve segmentation accuracy and robustness. A major way to encode such a prior shape model is to use a mesh representation, which is prone to causing…

Computer Vision and Pattern Recognition · Computer Science 2017-05-31 Junjie Bai , Abhay Shah , Xiaodong Wu

The problem of image segmentation is known to become particularly challenging in the case of partial occlusion of the object(s) of interest, background clutter, and the presence of strong noise. To overcome this problem, the present paper…

Computer Vision and Pattern Recognition · Computer Science 2010-06-15 Robert Sheng Xu , Oleg Michailovich , Magdy Salama
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