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We consider the problem of selecting an optimal mask for an image manifold, i.e., choosing a subset of the pixels of the image that preserves the manifold's geometric structure present in the original data. Such masking implements a form of…

Machine Learning · Statistics 2016-06-16 Hamid Dadkhahi , Marco F. Duarte

We consider the task of image reconstruction while simultaneously decomposing the reconstructed image into components with different features. A commonly used tool for this is a variational approach with an infimal convolution of…

Numerical Analysis · Mathematics 2025-04-16 Tobias Wolf , Derek Driggs , Kostas Papafitsoros , Elena Resmerita , Carola-Bibiane Schönlieb

The ability of deep image prior (DIP) to recover high-quality images from incomplete or corrupted measurements has made it popular in inverse problems in image restoration and medical imaging including magnetic resonance imaging (MRI).…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Shijun Liang , Evan Bell , Qing Qu , Rongrong Wang , Saiprasad Ravishankar

Variational regularization models are one of the popular and efficient approaches for image restoration. The regularization functional in the model carries prior knowledge about the image to be restored. The prior knowledge, in particular…

Optimization and Control · Mathematics 2021-02-09 Yan-ran Li , Raymond H. F. Chan , Lixin Shen , Xiaosheng Zhuang

Iterative phase retrieval algorithms typically employ projections onto constraint subspaces to recover the unknown phases in the Fourier transform of an image, or, in the case of x-ray crystallography, the electron density of a molecule.…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

Many algorithms for the computation of correspondences between deformable shapes rely on some variant of nearest neighbor matching in a descriptor space. Such are, for example, various point-wise correspondence recovery algorithms used as a…

Computer Vision and Pattern Recognition · Computer Science 2016-07-13 Matthias Vestner , Roee Litman , Alex Bronstein , Emanuele Rodolà , Daniel Cremers

Customization techniques for text-to-image models have paved the way for a wide range of previously unattainable applications, enabling the generation of specific concepts across diverse contexts and styles. While existing methods…

Computer Vision and Pattern Recognition · Computer Science 2024-12-06 Ryan Po , Guandao Yang , Kfir Aberman , Gordon Wetzstein

Critical aspects of computational imaging systems, such as experimental design and image priors, can be optimized through deep networks formed by the unrolled iterations of classical model-based reconstructions (termed physics-based…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Michael Kellman , Kevin Zhang , Jon Tamir , Emrah Bostan , Michael Lustig , Laura Waller

The theory of (tight) wavelet frames has been extensively studied in the past twenty years and they are currently widely used for image restoration and other image processing and analysis problems. The success of wavelet frame based models,…

Computer Vision and Pattern Recognition · Computer Science 2011-10-31 Yong Zhang , Bin Dong , Zhaosong Lu

This paper presents a new probabilistic generative model for image segmentation, i.e. the task of partitioning an image into homogeneous regions. Our model is grounded on a mid-level image representation, called a region tree, in which…

Machine Learning · Statistics 2015-06-15 Shell X. Hu , Christopher K. I. Williams , Sinisa Todorovic

In this work we develop and analyze an adaptive finite element method for efficiently solving electrical impedance tomography -- a severely ill-posed nonlinear inverse problem for recovering the conductivity from boundary voltage…

Numerical Analysis · Mathematics 2019-05-16 Bangti Jin , Yifeng Xu , Jun Zou

The image reconstruction of partially coherent light is interpreted as the quantum state reconstruction. The efficient method based on maximum-likelihood estimation is proposed to acquire information from registered intensity measurements…

Optics · Physics 2011-07-22 M. Jezek , Z. Hradil

Image restoration aims to recover high-quality images from degraded observations. When the degradation process is known, the recovery problem can be formulated as an inverse problem, and in a Bayesian context, the goal is to sample a clean…

Image and Video Processing · Electrical Eng. & Systems 2025-10-13 Darshan Thaker , Abhishek Goyal , René Vidal

Composed image retrieval searches for a target image based on a multi-modal user query comprised of a reference image and modification text describing the desired changes. Existing approaches to solving this challenging task learn a mapping…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Zheyuan Liu , Weixuan Sun , Yicong Hong , Damien Teney , Stephen Gould

Image stitching algorithms often adopt the global transformation, such as homography, and work well for planar scenes or parallax free camera motions. However, these conditions are easily violated in practice. With casual camera motions,…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Tianzhu Xiang , Gui-Song Xia , Liangpei Zhang

A crucial problem in learning disentangled image representations is controlling the degree of disentanglement during image editing, while preserving the identity of objects. In this work, we propose a simple yet effective model with the…

Machine Learning · Computer Science 2019-12-30 Zengjie Song , Oluwasanmi Koyejo , Jiangshe Zhang

The task of recalibrating the illumination settings in an image to a target configuration is known as relighting. Relighting techniques have potential applications in digital photography, gaming industry and in augmented reality. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Densen Puthussery , Hrishikesh P. S. , Melvin Kuriakose , Jiji C.

Document images are now widely captured by handheld devices such as mobile phones. The OCR performance on these images are largely affected due to geometric distortion of the document paper, diverse camera positions and complex backgrounds.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Guo-Wang Xie , Fei Yin , Xu-Yao Zhang , Cheng-Lin Liu

Data compression is a method of improving the efficiency of transmission and storage of images. Dithering, as a method of data compression, can be used to convert an 8-bit gray level image into a 1-bit / binary image. Undithering is the…

Computer Vision and Pattern Recognition · Computer Science 2011-08-17 V. Asha

Image restoration is one of the most important areas in imaging science. Mathematical tools have been widely used in image restoration, where wavelet frame based approach is one of the successful examples. In this paper, we introduce a…

Functional Analysis · Mathematics 2016-02-18 Bin Dong , Zuowei Shen , Peichu Xie