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In this paper, we design an efficient, multi-stage image segmentation framework that incorporates a weighted difference of anisotropic and isotropic total variation (AITV). The segmentation framework generally consists of two stages:…

计算机视觉与模式识别 · 计算机科学 2023-11-17 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

In this paper, we aim to segment an image degraded by blur and Poisson noise. We adopt a smoothing-and-thresholding (SaT) segmentation framework that finds a piecewise-smooth solution, followed by $k$-means clustering to segment the image.…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

Poisson noise commonly occurs in images captured by photon-limited imaging systems such as in astronomy and medicine. As the distribution of Poisson noise depends on the pixel intensity value, noise levels vary from pixels to pixels. Hence,…

图像与视频处理 · 电气工程与系统科学 2023-07-04 Kevin Bui , Yifei Lou , Fredrick Park , Jack Xin

Based on transformed $\ell_1$ regularization, transformed total variation (TTV) has robust image recovery that is competitive with other nonconvex total variation (TV) regularizers, such as TV$^p$, $0<p<1$. Inspired by its performance, we…

计算机视觉与模式识别 · 计算机科学 2024-06-05 Elisha Dayag , Kevin Bui , Fredrick Park , Jack Xin

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…

计算机视觉与模式识别 · 计算机科学 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.…

计算机视觉与模式识别 · 计算机科学 2014-05-12 Xiaohao Cai

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…

计算机视觉与模式识别 · 计算机科学 2020-07-20 Karrar Abbas , Xianping Li

For image denoising problems, the structure tensor total variation (STV)-based models show good performances when compared with other competing regularization approaches. However, the STV regularizer does not couple the local information of…

最优化与控制 · 数学 2024-04-05 Xiuhan Sheng , Lijuan Yang , Jingya Chang

Ptychography, a prevalent imaging technique in fields such as biology and optics, poses substantial challenges in its reconstruction process, characterized by nonconvexity and large-scale requirements. This paper presents a novel approach…

数值分析 · 数学 2024-03-25 Kevin Bui , Zichao Di

In order to completely separate objects with large sections of occluded boundaries in an image, we devise a new variational level set model for image segmentation combining the Chan-Vese model with elastica and landmark constraints. For…

计算机视觉与模式识别 · 计算机科学 2019-08-08 Jintao Song , Huizhu Pan , Wuanquan Liu , Zisen Xu , Zhenkuan Pan

Image segmentation is a core task in image processing, yet many methods degrade when images are heavily corrupted by noise and exhibit intensity inhomogeneity. Within the iterative-convolution thresholding method (ICTM) framework, we…

计算机视觉与模式识别 · 计算机科学 2025-11-13 Xinyu Wang , Wenjun Yao , Fanghui Song , Zhichang Guo

This paper proposes a nonlinear weighted anisotropic total variation (NWATV) regularization technique for electrical impedance tomography (EIT). The key idea is to incorporate the internal inhomogeneity information (e.g., edges of the…

偏微分方程分析 · 数学 2022-03-02 Yizhuang Song , Yanying Wang , Dong Liu

In this paper, a novel weighted nonlocal total variation (WNTV) method is proposed. Compared to the classical nonlocal total variation methods, our method modifies the energy functional to introduce a weight to balance between the labeled…

计算机视觉与模式识别 · 计算机科学 2018-02-01 Haohan Li , Zuoqiang Shi , Xiaoping Wang

In this paper, we propose a regularization technique for noisy-image super-resolution and image denoising. Total variation (TV) regularization is adopted in many image processing applications to preserve the local smoothness. However, TV…

图像与视频处理 · 电气工程与系统科学 2022-02-23 Kaicong Sun , Sven Simon

We consider the image denoising problem using total variation (TV) regularization. This problem can be computationally challenging to solve due to the non-differentiability and non-linearity of the regularization term. We propose an…

最优化与控制 · 数学 2014-08-26 Zhiwei Qin , Donald Goldfarb , Shiqian Ma

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…

计算机视觉与模式识别 · 计算机科学 2020-02-26 Faqiang Wang , Cuicui Zhao , Jun Liu , Haiyang Huang

The core of many approaches for the resolution of variational inverse problems arising in signal and image processing consists of promoting the sought solution to have a sparse representation in a well-suited space. A crucial task in this…

数值分析 · 数学 2022-09-07 Gabriele Scrivanti , Emilie Chouzenoux , Jean-Christophe Pesquet

In the last decades, unsupervised deep learning based methods have caught researchers attention, since in many real applications, such as medical imaging, collecting a great amount of training examples is not always feasible. Moreover, the…

图像与视频处理 · 电气工程与系统科学 2022-05-24 Pasquale Cascarano , Andrea Sebastiani , Maria Colomba Comes , Giorgia Franchini , Federica Porta

Even after over two decades, the total variation (TV) remains one of the most popular regularizations for image processing problems and has sparked a tremendous amount of research, particularly to move from scalar to vector-valued…

计算机视觉与模式识别 · 计算机科学 2016-06-21 Joan Duran , Michael Moeller , Catalina Sbert , Daniel Cremers

Image segmentation with a volume constraint is an important prior for many real applications. In this work, we present a novel volume preserving image segmentation algorithm, which is based on the framework of entropic regularized optimal…

计算机视觉与模式识别 · 计算机科学 2020-01-23 Haifeng Li , Jun Liu , Li Cui , Haiyang Huang , Xue-cheng Tai
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