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Sparse decomposition has been widely used for different applications, such as source separation, image classification, image denoising and more. This paper presents a new algorithm for segmentation of an image into background and foreground…

Computer Vision and Pattern Recognition · Computer Science 2016-07-28 Shervin Minaee , Yao Wang

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

In this paper we demonstrate that the framework of nonlinear spectral decompositions based on total variation (TV) regularization is very well suited for image fusion as well as more general image manipulation tasks. The well-localized and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-24 Martin Benning , Michael Möller , Raz Z. Nossek , Martin Burger , Daniel Cremers , Guy Gilboa , Carola-Bibiane Schönlieb

Image denoising is a fundamental problem in image processing whose primary objective is to remove the noise while preserving the original image structure. In this work, we proposed a new architecture for image denoising. We have used…

Image and Video Processing · Electrical Eng. & Systems 2019-03-25 Sutanu Bera , Avisek Lahiri , Prabir Kumar Biswas

It is well known that vision classification models suffer from poor calibration in the face of data distribution shifts. In this paper, we take a geometric approach to this problem. We propose Geometric Sensitivity Decomposition (GSD) which…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Junjiao Tian , Dylan Yung , Yen-Chang Hsu , Zsolt Kira

This study presents the development of a spatially adaptive weighting strategy for Total Variation regularization, aimed at addressing under-determined linear inverse problems. The method leverages the rapid computation of an accurate…

Numerical Analysis · Mathematics 2025-01-20 Elena Morotti , Davide Evangelista , Andrea Sebastiani , Elena Loli Piccolomini

In end-to-end optimized learned image compression, it is standard practice to use a convolutional variational autoencoder with generalized divisive normalization (GDN) to transform images into a latent space. Recently, Operational Neural…

Image and Video Processing · Electrical Eng. & Systems 2021-05-31 M. Akın Yılmaz , Onur Keleş , Hilal Güven , A. Murat Tekalp , Junaid Malik , Serkan Kıranyaz

The curvature regularities are well-known for providing strong priors in the continuity of edges, which have been applied to a wide range of applications in image processing and computer vision. However, these models are usually non-convex,…

Numerical Analysis · Mathematics 2019-12-03 Qiuxiang Zhong , Ke Yin , Yuping Duan

Conventional computational ghost imaging (CGI) uses light carrying a sequence of patterns with uniform-resolution to illuminate the object, then performs correlation calculation based on the light intensity value reflected by the target and…

Image and Video Processing · Electrical Eng. & Systems 2022-10-05 Dong Zhou , Jie Cao , Huan Cui , Li-Xing Lin , Haoyu Zhang , Yingqiang Zhang , Qun Hao

Image Segmentation is one of the core tasks in Computer Vision and solving it often depends on modeling the image appearance data via the color distributions of each it its constituent regions. Whereas many segmentation algorithms handle…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jeova Farias Sales Rocha Neto

In this paper we propose a new approach for tomographic reconstruction with spatially varying regularization parameter. Our work is based on the SA-TV image restoration model proposed in [3] where an automated parameter selection rule for…

Numerical Analysis · Mathematics 2018-11-27 Yiqiu Dong , Carola-Bibiane Schönlieb

Very deep convolutional neural networks (CNNs) have been firmly established as the primary methods for many computer vision tasks. However, most state-of-the-art CNNs are large, which results in high inference latency. Recently, depth-wise…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yihui He , Jianing Qian , Jianren Wang , Cindy X. Le , Congrui Hetang , Qi Lyu , Wenping Wang , Tianwei Yue

We investigate the ability of a local bi-orthogonal decomposition to build texture segmentation of images. Using the structures associated to the local decomposition of the image independent row and columns we perform a segmentation, where…

chao-dyn · Physics 2008-02-03 J. A. Dente , R. Vilela Mendes , R. Lima

In this paper we study a variational problem in the space of functions of bounded Hessian. Our model constitutes a straightforward higher-order extension of the well known ROF functional (total variation minimisation) to which we add a…

Numerical Analysis · Mathematics 2013-08-09 Konstantinos Papafitsoros , Carola-Bibiane Schönlieb

There has been a growing interest in using different approaches to improve the coding efficiency of modern video codec in recent years as demand for web-based video consumption increases. In this paper, we propose a model-based approach…

Computer Vision and Pattern Recognition · Computer Science 2018-02-09 Chichen Fu , Di Chen , Edward J. Delp , Zoe Liu , Fengqing Zhu

Texture analysis is an important field of investigation that has received a great deal of interest from computer vision community. In this paper, we propose a novel approach for texture modeling based on partial differential equation (PDE).…

Computer Vision and Pattern Recognition · Computer Science 2012-01-20 Bruno Brandoli Machado , Wesley Nunes Gonçalves , Odemir Martinez Bruno

We study the theoretical properties of image denoising via total variation penalized least-squares. We define the total vatiation in terms of the two-dimensional total discrete derivative of the image and show that it gives rise to denoised…

Statistics Theory · Mathematics 2021-01-27 Francesco Ortelli , Sara van de Geer

This paper introduces a novel variational approach for image compression motivated by recent PDE-based approaches combining edge detection and Laplacian inpainting. The essential feature is to encode the image via a sparse vector field,…

Optimization and Control · Mathematics 2015-03-09 Eva-Maria Brinkmann , Martin Burger , Joana Grah

We present a novel algorithm for segmentation of natural images that harnesses the principle of minimum description length (MDL). Our method is based on observations that a homogeneously textured region of a natural image can be well…

Computer Vision and Pattern Recognition · Computer Science 2010-06-21 Hossein Mobahi , Shankar R. Rao , Allen Y. Yang , Shankar S. Sastry , Yi Ma

Background and purpose: The delineation of the gross tumor volume (GTV) is a critical step for radiation therapy treatment planning. The delineation procedure is typically performed manually which exposes two major issues: cost and…