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Diffusion probabilistic models learn to remove noise added during training, generating novel data (e.g., images) from Gaussian noise through sequential denoising. However, conditioning the generative process on corrupted or masked images is…

Computer Vision and Pattern Recognition · Computer Science 2026-05-01 Sakshi Agarwal , Gabriel Hope , Jimin Heo , Erik B. Sudderth

Guided upsampling is an effective approach for accelerating high-resolution image processing. In this paper, we propose a simple yet effective guided upsampling method. Each pixel in the high-resolution image is represented as a linear…

Computer Vision and Pattern Recognition · Computer Science 2023-07-20 Shuangbing Song , Fan Zhong , Tianju Wang , Xueying Qin , Changhe Tu

Images can be viewed as layered compositions, foreground objects over background, with potential occlusions. This layered representation enables independent editing of elements, offering greater flexibility for content creation. Despite the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Jingxi Chen , Yixiao Zhang , Xiaoye Qian , Zongxia Li , Cornelia Fermuller , Caren Chen , Yiannis Aloimonos

A recently designed hyperspectral imaging device enables multiplexed acquisition of an entire data volume in a single snapshot thanks to monolithically-integrated spectral filters. Such an agile imaging technique comes at the cost of a…

Computer Vision and Pattern Recognition · Computer Science 2015-02-09 K. Degraux , V. Cambareri , L. Jacques , B. Geelen , C. Blanch , G. Lafruit

We provide a theoretical justification for sample recovery using diffusion based image inpainting in a linear model setting. While most inpainting algorithms require retraining with each new mask, we prove that diffusion based inpainting…

Machine Learning · Statistics 2023-02-03 Litu Rout , Advait Parulekar , Constantine Caramanis , Sanjay Shakkottai

We introduce and discuss shape based models for finding the best interpolation data in compression of images with noise. The aim is to reconstruct missing regions by means of minimizing data fitting term in the $L^2$-norm between the images…

Numerical Analysis · Mathematics 2020-11-05 Zakaria Belhachmi , Thomas Jacumin

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

We outline the super-resolution reconstruction problem posed as a maximization of probability. We then introduce an interpolation method based on polygonal pixel overlap, express it as a linear operator, and use it to improve…

Computer Vision and Pattern Recognition · Computer Science 2012-10-17 Stéfan J. van der Walt , B. M. Herbst

We consider a shape optimization based method for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in an $L^p$-norm between…

Analysis of PDEs · Mathematics 2024-10-11 Zakaria Belhachmi , Thomas Jacumin

We propose a new approach for image compression in digital cameras, where the goal is to achieve better quality at a given rate by using the characteristics of a Bayer color filter array. Most digital cameras produce color images by using a…

Multimedia · Computer Science 2009-03-16 Sang-Yong Lee , Antonio Ortega

This paper concerns with nonuniform sampling and interpolation methods combined with variational models for the solution of a generalized image inpainting problem and the restoration of digital signals. In particular, we discuss the problem…

Numerical Analysis · Mathematics 2007-05-23 Massimo Fornasier

In recent years, the field of image inpainting has developed rapidly, learning based approaches show impressive results in the task of filling missing parts in an image. But most deep methods are strongly tied to the resolution of the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-29 Andrey Moskalenko , Mikhail Erofeev , Dmitriy Vatolin

Compressive imaging is an emerging application of compressed sensing, devoted to acquisition, encoding and reconstruction of images using random projections as measurements. In this paper we propose a novel method to provide a scalable…

Information Theory · Computer Science 2013-10-07 Diego Valsesia , Enrico Magli

We introduce and discuss shape-based models for finding the best interpolation data in the compression of images with noise. The aim is to reconstruct missing regions by means of minimizing a data fitting term in the $L^2$-norm between the…

Numerical Analysis · Mathematics 2022-02-23 Zakaria Belhachmi , Thomas Jacumin

Compression methods based on inpainting are an evolving alternative to classical transform-based codecs for still images. Attempts to apply these ideas to video compression are rare, since reaching real-time performance is very challenging.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Sarah Andris , Pascal Peter , Rahul Mohideen Kaja Mohideen , Joachim Weickert , Sebastian Hoffmann

After training complex deep learning models, a common task is to compress the model to reduce compute and storage demands. When compressing, it is desirable to preserve the original model's per-example decisions (e.g., to go beyond top-1…

Machine Learning · Computer Science 2022-10-18 Jerry Chee , Megan Renz , Anil Damle , Christopher De Sa

Inpainting-based codecs store sparse selected pixel data and decode by reconstructing the discarded image parts by inpainting. Successful codecs (coders and decoders) traditionally use inpainting operators that solve partial differential…

Image and Video Processing · Electrical Eng. & Systems 2024-06-21 Rahul Mohideen Kaja Mohideen , Tobias Alt , Pascal Peter , Joachim Weickert

In image processing, problems of separation and reconstruction of missing pixels from incomplete digital images have been far more advanced in past decades. Many empirical results have produced very good results, however, providing a…

Functional Analysis · Mathematics 2022-02-08 Van Tiep Do

Diffusion models have recently emerged as powerful generative priors for solving inverse problems. However, training diffusion models in the pixel space are both data-intensive and computationally demanding, which restricts their…

Computer Vision and Pattern Recognition · Computer Science 2024-04-17 Bowen Song , Soo Min Kwon , Zecheng Zhang , Xinyu Hu , Qing Qu , Liyue Shen

In this work we consider a generalized bilevel optimization framework for solving inverse problems. We introduce fractional Laplacian as a regularizer to improve the reconstruction quality, and compare it with the total variation…

Image and Video Processing · Electrical Eng. & Systems 2020-06-24 Harbir Antil , Zichao Di , Ratna Khatri