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This work proposes a novel convex-non-convex formulation of the image segmentation and the image completion problems. The proposed approach is based on the minimization of a functional involving two distinct regularization terms: one…

Numerical Analysis · Mathematics 2025-09-01 Mohamed El Guide , Anas El Hachimi , Khalide Jbilou , Lothar Reichel

Despite their success, Segment Anything Models (SAMs) experience significant performance drops on severely degraded, low-quality images, limiting their effectiveness in real-world scenarios. To address this, we propose GleSAM, which…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Guangqian Guo , Yong Guo , Xuehui Yu , Wenbo Li , Yaoxing Wang , Shan Gao

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

Nonconvex and structured optimization problems arise in many engineering applications that demand scalable and distributed solution methods. The study of the convergence properties of these methods is in general difficult due to the…

Optimization and Control · Mathematics 2015-05-04 Sindri Magnússon , Pradeep Chathuranga Weeraddana , Michael G. Rabbat , Carlo Fischione

Image segmentation is the foundation of several computer vision tasks, where pixel-wise knowledge is a prerequisite for achieving the desired target. Deep learning has shown promising performance in supervised image segmentation. However,…

Image and Video Processing · Electrical Eng. & Systems 2024-03-19 Boujemaa Guermazi , Riadh Ksantini , Naimul Khan

We propose a composable framework for latent space image augmentation that allows for easy combination of multiple augmentations. Image augmentation has been shown to be an effective technique for improving the performance of a wide variety…

Machine Learning · Computer Science 2023-03-08 Omead Pooladzandi , Jeffrey Jiang , Sunay Bhat , Gregory Pottie

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

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

Numerical Analysis · Mathematics 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl

The Segment Anything Model (SAM) is a foundational model for image segmentation tasks, known for its strong generalization across diverse applications. However, its impressive performance comes with significant computational and resource…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Xiaorui Sun , Jun Liu , Heng Tao Shen , Xiaofeng Zhu , Ping Hu

Medical image segmentation remains challenging due to intensity inhomogeneity, noise, blurred boundaries, and irregular structures. Traditional level set methods, while effective in certain cases, often depend on approximate bias field…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Wenqi Zhao , Jiacheng Sang , Fenghua Cheng , Yonglu Shu , Dong Li , Xiaofeng Yang

We present an alternating augmented Lagrangian method for convex optimization problems where the cost function is the sum of two terms, one that is separable in the variable blocks, and a second that is separable in the difference between…

Machine Learning · Statistics 2012-03-09 Bo Wahlberg , Stephen Boyd , Mariette Annergren , Yang Wang

In this paper, we present a novel approach to reconstruct a unique image of an observed scene with widely distributed radar sensors. The problem is posed as a constrained optimization problem in which the global image which represents the…

Signal Processing · Electrical Eng. & Systems 2023-06-28 Ahmed Murtada , Ruizhi Hu , Bhavani Shankar Mysore Rama Rao , Udo Schroeder

One of the main requirements of tumor extraction is the annotation and segmentation of tumor boundaries correctly. For this purpose, we present a threefold deep learning architecture. First classifiers are implemented with a deep…

Image and Video Processing · Electrical Eng. & Systems 2021-02-09 Shanaka Ramesh Gunasekara , H. N. T. K. Kaldera , Maheshi B. Dissanayake

Vision foundation models like the Segment Anything Model (SAM), pretrained on large-scale natural image datasets, often struggle in medical image segmentation due to a lack of domain-specific adaptation. In clinical practice, fine-tuning…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Zelin Liu , Sicheng Dong , Bocheng Li , Yixuan Yang , Jiacheng Ruan , Chenxu Zhou , Suncheng Xiang

The augmented Lagrangian (AL) method that solves convex optimization problems with linear constraints has drawn more attention recently in imaging applications due to its decomposable structure for composite cost functions and empirical…

Optimization and Control · Mathematics 2015-11-30 Hung Nien , Jeffrey A. Fessler

We propose a geometric convexity shape prior preservation method for variational level set based image segmentation methods. Our method is built upon the fact that the level set of a convex signed distanced function must be convex. This…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Shi Yan , Xue-cheng Tai , Jun Liu , Hai-yang Huang

To address the challenge of segmenting noisy images with blurred or fragmented boundaries, this paper presents a robust version of Variational Model Based Tailored UNet (VM_TUNet), a hybrid framework that integrates variational methods with…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Kaili Qi , Zhongyi Huang , Wenli Yang

Despite the progress of image segmentation for accurate visual entity segmentation, completing the diverse requirements of image editing applications for different-level region-of-interest selections remains unsolved. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2023-05-30 Lu Qi , Jason Kuen , Weidong Guo , Jiuxiang Gu , Zhe Lin , Bo Du , Yu Xu , Ming-Hsuan Yang

In this paper, we propose a novel locally statistical active contour model (LACM) based on Aubert-Aujol (AA) denoising model and variational level set method, which can be used for SAR images segmentation with intensity inhomogeneity. Then…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Guangming Liu

Segment Anything Models (SAMs), known for their exceptional zero-shot segmentation performance, have garnered significant attention in the research community. Nevertheless, their performance drops significantly on severely degraded,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Guangqian Guo , Aixi Ren , Yong Guo , Xuehui Yu , Jiacheng Tian , Wenli Li , Chaowei Wang , Yaoxing Wang , Shan Gao