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There is an increasing interest in using image-generating diffusion models for deep data augmentation and image morphing. In this context, it is useful to interpolate between latents produced by inverting a set of input images, in order to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Erik Landolsi , Fredrik Kahl

Directional interpolation is a fast and efficient compression technique for high-frequency Helmholtz boundary integral equations, but it requires a very large amount of storage in its original form. Algebraic recompression can significantly…

Numerical Analysis · Mathematics 2023-10-23 Steffen Börm , Janne Henningsen

Learned progressive image compression is gaining momentum as it allows improved image reconstruction as more bits are decoded at the receiver. We propose a progressive image compression method in which an image is first represented as a…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Alberto Presta , Enzo Tartaglione , Attilio Fiandrotti , Marco Grangetto , Pamela Cosman

While invaluable for many computer vision applications, decomposing a natural image into intrinsic reflectance and shading layers represents a challenging, underdetermined inverse problem. As opposed to strict reliance on conventional…

Computer Vision and Pattern Recognition · Computer Science 2018-09-03 Qingnan Fan , Jiaolong Yang , Gang Hua , Baoquan Chen , David Wipf

Painterly image harmonization aims to insert photographic objects into paintings and obtain artistically coherent composite images. Previous methods for this task mainly rely on inference optimization or generative adversarial network, but…

Computer Vision and Pattern Recognition · Computer Science 2023-08-07 Lingxiao Lu , Jiangtong Li , Junyan Cao , Li Niu , Liqing Zhang

In this work we propose a novel postprocessing technique for compression-artifact reduction. Our approach is based on posing this task as an inverse problem, with a regularization that leverages on existing state-of-the-art image denoising…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Yehuda Dar , Alfred M. Bruckstein , Michael Elad , Raja Giryes

We propose a scheme for multi-layer representation of images. The problem is first treated from an information-theoretic viewpoint where we analyze the behavior of different sources of information under a multi-layer data compression…

Computer Vision and Pattern Recognition · Computer Science 2015-06-15 Sohrab Ferdowsi , Svyatoslav Voloshynovskiy , Dimche Kostadinov

Ill-posed inverse problems are fundamental in many domains, ranging from astrophysics to medical imaging. Emerging diffusion models provide a powerful prior for solving these problems. Existing maximum-a-posteriori (MAP) or posterior…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Minseo Kim , Axel Levy , Gordon Wetzstein

We propose a method for lossy image compression based on recurrent, convolutional neural networks that outperforms BPG (4:2:0 ), WebP, JPEG2000, and JPEG as measured by MS-SSIM. We introduce three improvements over previous research that…

Computer Vision and Pattern Recognition · Computer Science 2017-03-30 Nick Johnston , Damien Vincent , David Minnen , Michele Covell , Saurabh Singh , Troy Chinen , Sung Jin Hwang , Joel Shor , George Toderici

Drag-based image editing has emerged as a powerful paradigm for intuitive image manipulation. However, existing approaches predominantly rely on manipulating the latent space of generative models, leading to limited precision, delayed…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Jingyi Lu , Kai Han

Reconstructing high-quality magnetic resonance images (MRI) from undersampled raw data is of great interest from both technical and clinical point of views. To this date, however, it is still a mathematically and computationally challenging…

Numerical Analysis · Mathematics 2021-09-01 T. Schmoderer , A. I Aviles-Rivero , V. Corona , N. Debroux , C-B. Schönlieb

The multichannel trigonometric reconstruction from uniform samples was proposed recently. It not only makes use of multichannel information about the signal but is also capable to generate various kinds of interpolation formulas according…

Classical Analysis and ODEs · Mathematics 2024-12-20 Dong Cheng , Kit Ian Kou

Recent deep learning models outperform standard lossy image compression codecs. However, applying these models on a patch-by-patch basis requires that each image patch be encoded and decoded independently. The influence from adjacent…

Image and Video Processing · Electrical Eng. & Systems 2021-01-14 André Nortje , Willie Brink , Herman A. Engelbrecht , Herman Kamper

Image Phase Alignment Super-sampling (ImPASS) is a computational method for combining displaced low-resolution images into a single high-resolution image. The general steps include measuring the relative displacements, up-sampling, aligning…

Optics · Physics 2026-01-09 James N. Caron

Image restoration is a typical ill-posed problem, and it contains various tasks. In the medical imaging field, an ill-posed image interrupts diagnosis and even following image processing. Both traditional iterative and up-to-date deep…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 Moran Xu , Dianlin Hu , Weifei Wu , Weiwen Wu

With advances in artificial intelligence, image processing has gained significant interest. Image super-resolution is a vital technology closely related to real-world applications, as it enhances the quality of existing images. Since…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Sangjun Han , Youngmi Hur

Low-rank approximations are essential in modern data science. The interpolative decomposition provides one such approximation. Its distinguishing feature is that it reuses columns from the original matrix. This enables it to preserve matrix…

Numerical Analysis · Mathematics 2022-06-08 Rishi Advani , Sean O'Hagan

Image inpainting is an ill-posed problem to recover missing or damaged image content based on incomplete images with masks. Previous works usually predict the auxiliary structures (e.g., edges, segmentation and contours) to help fill…

Computer Vision and Pattern Recognition · Computer Science 2022-08-26 Yongsheng Yu , Dawei Du , Libo Zhang , Tiejian Luo

Recent progress in large-scale text-to-video (T2V) and image-to-video (I2V) diffusion models has greatly enhanced video generation, especially in terms of keyframe interpolation. However, current image-to-video diffusion models, while…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Serin Yang , Taesung Kwon , Jong Chul Ye

Compression at low bitrates in modern codecs often introduces banding artifacts, especially in smooth regions such as skies. These artifacts degrade visual quality and are common in user-generated content due to repeated transcoding. We…

Image and Video Processing · Electrical Eng. & Systems 2025-12-10 Xinyi Wang , Smaranda Tasmoc , Nantheera Anantrasirichai , Angeliki Katsenou