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Separating an image into cartoon and texture components comes useful in image processing applications, such as image compression, image segmentation, image inpainting. Yves Meyer's influential cartoon texture decomposition model involves…

Computer Vision and Pattern Recognition · Computer Science 2014-05-08 Kutlu Emre Yilmaz

Cartoon-texture image decomposition is a fundamental yet challenging problem in image processing. A significant hurdle in achieving accurate decomposition is the pervasive presence of noise in the observed images, which severely impedes…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Weihao Tang , Hongjin He

Natural images are often the superposition of various parts of different geometric characteristics. For instance, an image might be a mixture of cartoon and texture structures. In addition, images are often given with missing data. In this…

Functional Analysis · Mathematics 2021-07-08 Van Tiep Do , Ron Levie , Gitta Kutyniok

Patch-based methods and deep networks have been employed to tackle image inpainting problem, with their own strengths and weaknesses. Patch-based methods are capable of restoring a missing region with high-quality texture through searching…

Computer Vision and Pattern Recognition · Computer Science 2021-11-05 Rui Xu , Minghao Guo , Jiaqi Wang , Xiaoxiao Li , Bolei Zhou , Chen Change Loy

Two-region image segmentation is the process of dividing an image into two regions of interest, i.e., the foreground and the background. To this aim, Chan et al. [Chan, Esedo\=glu, Nikolova, SIAM Journal on Applied Mathematics 66(5),…

Numerical Analysis · Mathematics 2022-06-29 Laura Antonelli , Valentina De Simone , Marco Viola

Various algorithms have been proposed for dictionary learning. Among those for image processing, many use image patches to form dictionaries. This paper focuses on whole-image recovery from corrupted linear measurements. We address the open…

Computer Vision and Pattern Recognition · Computer Science 2014-08-19 Yangyang Xu , Wotao Yin

This paper aims to recover the intrinsic reflectance layer and shading layer given a single image. Though this intrinsic image decomposition problem has been studied for decades, it remains a significant challenge in cases of complex…

Computer Vision and Pattern Recognition · Computer Science 2025-09-12 Xiaodong Wang , Zijun He , Xin Yuan

Image inpaiting is an important task in image processing and vision. In this paper, we develop a general method for patch-based image inpainting by synthesizing new textures from existing one. A novel framework is introduced to find several…

Computer Vision and Pattern Recognition · Computer Science 2016-05-06 Tao Zhou , Brian Johnson , Rui Li

In this paper, we investigate theoretically the behavior of Meyer's image cartoon + texture decomposition model. Our main results is a new theorem which shows that, by combining the decomposition model and a well chosen Littlewood-Paley…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Jerome Gilles

Natural images are typically a composition of cartoon and texture structures. A medical image might, for instance, show a mixture of gray matter and the skull cap. One common task is to separate such an image into two single images, one…

Functional Analysis · Mathematics 2012-04-30 Gitta Kutyniok

Image textures, as a kind of local variations, provide important information for human visual system. Many image textures, especially the small-scale or stochastic textures are rich in high-frequency variations, and are difficult to be…

Computer Vision and Pattern Recognition · Computer Science 2019-10-02 Wenzhao Zhao , Qiegen Liu , Yisong Lv , Binjie Qin

Image structure-texture decomposition is a long-standing and fundamental problem in both image processing and computer vision fields. In this paper, we propose a generalized semi-sparse regularization framework for image structural analysis…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Junqing Huang , Haihui Wang , Michael Ruzhansky

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

Computer Vision and Pattern Recognition · Computer Science 2019-12-11 Zhihao Xia , Ayan Chakrabarti

We consider the very challenging task of restoring images (i) which have a large number of missing pixels, (ii) whose existing pixels are corrupted by noise and (iii) the ideal image to be restored contains both cartoon and texture…

Computer Vision and Pattern Recognition · Computer Science 2016-06-10 Duy Hoang Thai , Carsten Gottschlich

In this paper, we propose a novel image denoising algorithm exploiting features from both spatial as well as transformed domain. We implement intensity-invariance based improved grouping for collaborative support-agnostic sparse…

Computer Vision and Pattern Recognition · Computer Science 2018-05-03 Muzammil Behzad

We frame the task of predicting a semantic labeling as a sparse reconstruction procedure that applies a target-specific learned transfer function to a generic deep sparse code representation of an image. This strategy partitions training…

Computer Vision and Pattern Recognition · Computer Science 2014-10-17 Michael Maire , Stella X. Yu , Pietro Perona

In this paper, we propose a learning-based image fragment pair-searching and -matching approach to solve the challenging restoration problem. Existing works use rule-based methods to match similar contour shapes or textures, which are…

Computer Vision and Pattern Recognition · Computer Science 2025-01-23 Rixin Zhou , Ding Xia , Yi Zhang , Honglin Pang , Xi Yang , Chuntao Li

The non-local self-similarity property of natural images has been exploited extensively for solving various image processing problems. When it comes to video sequences, harnessing this force is even more beneficial due to the temporal…

Computer Vision and Pattern Recognition · Computer Science 2021-11-02 Gregory Vaksman , Michael Elad , Peyman Milanfar

In this paper, we propose a novel image denoising algorithm using collaborative support-agnostic sparse reconstruction. An observed image is first divided into patches. Similarly structured patches are grouped together to be utilized for…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Muzammil Behzad , Mudassir Masood , Tarig Ballal , Maha Shadaydeh , Tareq Y. Al-Naffouri

Image inpainting has achieved remarkable progress and inspired abundant methods, where the critical bottleneck is identified as how to fulfill the high-frequency structure and low-frequency texture information on the masked regions with…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Haipeng Liu , Yang Wang , Meng Wang , Yong Rui
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