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We propose a regularization scheme for image reconstruction that leverages the power of deep learning while hinging on classic sparsity-promoting models. Many deep-learning-based models are hard to interpret and cumbersome to analyze…

Image and Video Processing · Electrical Eng. & Systems 2024-07-10 Mehrsa Pourya , Sebastian Neumayer , Michael Unser

Adaptive image restoration models can restore images with different degradation levels at inference time without the need to retrain the model. We present an approach that is highly accurate and allows a significant reduction in the number…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Shai Aharon , Gil Ben-Artzi

Unoriented surface reconstruction is an important task in computer graphics and has extensive applications. Based on the compact support of wavelet and orthogonality properties, classic wavelet surface reconstruction achieves good and fast…

Computational Geometry · Computer Science 2025-06-23 Yueji Ma , Yanzun Meng , Dong Xiao , Zuoqiang Shi , Bin Wang

Image restoration is a challenging and ill-posed problem which also has been a long-standing issue. However, most of learning based restoration methods are proposed to target one degradation type which means they are lack of generalization.…

Image and Video Processing · Electrical Eng. & Systems 2022-06-07 Chi-Mao Fan , Tsung-Jung Liu , Kuan-Hsien Liu

This paper investigates the shape reconstructions of sub-wavelength objects from near-field measurements in transverse electromagnetic scattering. This geometric inverse problem is notoriously ill-posed and challenging. We develop a novel…

Mathematical Physics · Physics 2023-05-03 M. H. Ding , H. Y. Liu , G. H. Zheng

Image restoration aims to recover the high-quality images from their degraded observations. Since most existing methods have been dedicated into single degradation removal, they may not yield optimal results on other types of degradations,…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Hu Gao , Depeng Dang

Shearlet tight frames have been extensively studied during the last years due to their optimal approximation properties of cartoon-like images and their unified treatment of the continuum and digital setting. However, these studies only…

Functional Analysis · Mathematics 2015-03-13 P. Kittipoom , G. Kutyniok , W. Lim

Recent years have seen the development of mature solutions for reconstructing deformable surfaces from a single image, provided that they are relatively well-textured. By contrast, recovering the 3D shape of texture-less surfaces remains an…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Jan Bednařík , Pascal Fua , Mathieu Salzmann

Segmentation, a useful/powerful technique in pattern recognition, is the process of identifying object outlines within images. There are a number of efficient algorithms for segmentation in Euclidean space that depend on the variational…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Xiaohao Cai , Christopher G. R. Wallis , Jennifer Y. H. Chan , Jason D. McEwen

Parallel MRI is a fast imaging technique that enables the acquisition of highly resolved images in space. It relies on $k$-space undersampling and multiple receiver coils with complementary sensitivity profiles in order to reconstruct a…

We introduce an edge detection and recovery framework based on open active contour models (snakelets). This is motivated by the noisy or broken edges output by standard edge detection algorithms, like Canny. The idea is to utilize the local…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Muhammet Bastan , S. Saqib Bukhari , Thomas M. Breuel

A motion-blurred image is the temporal average of multiple sharp frames over the exposure time. Recovering these sharp video frames from a single blurred image is nontrivial, due to not only its strong ill-posedness, but also various types…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Daoyu Li , Liheng Bian , Jun Zhang

Lens modeling of resolved image data has advanced rapidly over the past two decades. More recently pixel-based approaches, wherein the source is reconstructed on an irregular or adaptive grid, have become popular. Generally, the source…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-09 Amitpal S. Tagore , Neal Jackson

Passive non-line-of-sight imaging methods are often faster and stealthier than their active counterparts, requiring less complex and costly equipment. However, many of these methods exploit motion of an occluder or the hidden scene, or…

Image and Video Processing · Electrical Eng. & Systems 2026-03-12 Sheila W. Seidel , John Murray-Bruce , Yanting Ma , Christopher Yu , William T. Freeman , Vivek K Goyal

Anomaly detection without priors of the anomalies is challenging. In the field of unsupervised anomaly detection, traditional auto-encoder (AE) tends to fail based on the assumption that by training only on normal images, the model will not…

Computer Vision and Pattern Recognition · Computer Science 2024-08-15 Yajie Cui , Zhaoxiang Liu , Shiguo Lian

The ability to extrapolate gene expression dynamics in living single cells requires robust cell segmentation, and one of the challenges is the amorphous or irregularly shaped cell boundaries. To address this issue, we modified the U-Net…

Quantitative Methods · Quantitative Biology 2020-01-17 Nanyan Zhu , Chen Liu , Zakary S. Singer , Tal Danino , Andrew F. Laine , Jia Guo

In recent years, deep learning has achieved remarkable success in the field of image restoration. However, most convolutional neural network-based methods typically focus on a single scale, neglecting the incorporation of multi-scale…

Image and Video Processing · Electrical Eng. & Systems 2025-02-27 Jiatao Jiang , Zhen Cui , Chunyan Xu , Jian Yang

Image restoration aims to enhance low quality images, producing high quality images that exhibit natural visual characteristics and fine semantic attributes. Recently, the diffusion model has emerged as a powerful technique for image…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Jiangtong Tan , Feng Zhao

Multivariate functions are typically governed by anisotropic features such as edges in images or shock fronts in solutions of transport-dominated equations. One major goal both for the purpose of compression as well as for an efficient…

Functional Analysis · Mathematics 2011-08-08 Gitta Kutyniok , Jakob Lemvig , Wang-Q Lim

Medical image registration is crucial for various clinical and research applications including disease diagnosis or treatment planning which require alignment of images from different modalities, time points, or subjects. Traditional…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ahsan Raza Siyal , Markus Haltmeier , Ruth Steiger , Malik Galijasevic , Elke Ruth Gizewski , Astrid Ellen Grams