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Vision in adverse weather conditions, whether it be snow, rain, or fog is challenging. In these scenarios, scattering and attenuation severly degrades image quality. Handling such inclement weather conditions, however, is essential to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-04 Andrea Ramazzina , Mario Bijelic , Stefanie Walz , Alessandro Sanvito , Dominik Scheuble , Felix Heide

Neural Radiance Fields (NeRF) has gained significant attention for its prominent implicit 3D representation and realistic novel view synthesis capabilities. Available works unexceptionally employ straight-line volume rendering, which…

Graphics · Computer Science 2025-08-20 Nan Luo , Chenglin Ye , Jiaxu Li , Gang Liu , Bo Wan , Di Wang , Lupeng Liu , Jun Xiao

Here we discuss a regularized version of the factorization method for positive operators acting on a Hilbert Space. The factorization method is a qualitative reconstruction method that has been used to solve many inverse shape problems. In…

Analysis of PDEs · Mathematics 2022-04-11 Isaac Harris

Diffusion models are extensively used for modeling image priors for inverse problems. We introduce \emph{Diff-Unfolding}, a principled framework for learning posterior score functions of \emph{conditional diffusion models} by explicitly…

Image and Video Processing · Electrical Eng. & Systems 2025-05-22 Yuanhao Wang , Shirin Shoushtari , Ulugbek S. Kamilov

This paper aims to solve numerically the two-dimensional inverse medium scattering problem with far-field data. This is a challenging task due to the severe ill-posedness and strong nonlinearity of the inverse problem. As already known, it…

Numerical Analysis · Mathematics 2025-09-25 Kai Li , Bo Zhang , Haiwen Zhang

We propose a diffusion-based inverse rendering framework that decomposes a single RGB image into geometry, material, and lighting. Inverse rendering is inherently ill-posed, making it difficult to predict a single accurate solution. To…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 JunYong Choi , Min-Cheol Sagong , SeokYeong Lee , Seung-Won Jung , Ig-Jae Kim , Junghyun Cho

In this paper, we consider a regularization strategy for the factorization method when there is noise added to the data operator. The factorization method is a qualitative method used in shape reconstruction problems. These methods are…

Analysis of PDEs · Mathematics 2023-04-05 Isaac Harris

Neural Radiance Fields (NeRF) has emerged as a compelling framework for scene representation and 3D recovery. To improve its performance on real-world data, depth regularizations have proven to be the most effective ones. However, depth…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Aoxiang Fan , Corentin Dumery , Nicolas Talabot , Pascal Fua

Recent denoising algorithms based on the "blind-spot" strategy show impressive blind image denoising performances, without utilizing any external dataset. While the methods excel in recovering highly contaminated images, we observe that…

Image and Video Processing · Electrical Eng. & Systems 2022-04-07 Chaewon Kim , Jaeho Lee , Jinwoo Shin

Priors are essential for reconstructing images from noisy and/or incomplete measurements. The choice of the prior determines both the quality and uncertainty of recovered images. We propose turning score-based diffusion models into…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Berthy T. Feng , Jamie Smith , Michael Rubinstein , Huiwen Chang , Katherine L. Bouman , William T. Freeman

Inverse rendering aims to estimate physical attributes of a scene, e.g., reflectance, geometry, and lighting, from image(s). Inverse rendering has been studied primarily for single objects or with methods that solve for only one of the…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Soumyadip Sengupta , Jinwei Gu , Kihwan Kim , Guilin Liu , David W. Jacobs , Jan Kautz

Computational imaging through scatter generally is accomplished by first characterizing the scattering medium so that its forward operator is obtained; and then imposing additional priors in the form of regularizers on the reconstruction…

Optics · Physics 2017-11-21 Shuai Li , Mo Deng , Justin Lee , Ayan Sinha , George Barbastathis

Neural Radiance Fields (NeRF) is a popular view synthesis technique that represents a scene as a continuous volumetric function, parameterized by multilayer perceptrons that provide the volume density and view-dependent emitted radiance at…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Dor Verbin , Peter Hedman , Ben Mildenhall , Todd Zickler , Jonathan T. Barron , Pratul P. Srinivasan

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

Image and Video Processing · Electrical Eng. & Systems 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

Microwave imaging is commonly based on the solution of linearized inverse scattering problems by matched filtering algorithms, i.e., by applying the adjoint of the forward scattering operator to the observation data. A more rigorous…

Image and Video Processing · Electrical Eng. & Systems 2024-12-23 Matthias M. Saurer , Han Na , Marius Brinkmann , Thomas F. Eibert

Recently, deep unfolding methods that guide the design of deep neural networks (DNNs) through iterative algorithms have received increasing attention in the field of inverse problems. Unlike general end-to-end DNNs, unfolding methods have…

Optimization and Control · Mathematics 2022-11-28 Zhuo-Xu Cui , Qingyong Zhu , Jing Cheng , Dong Liang

It is well known that training a denoising score-based diffusion models requires tens of thousands of epochs and a substantial number of image data to train the model. In this paper, we propose to increase the efficiency in training…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Andrew S. Na , William Gao , Justin W. L. Wan

Image denoising is a typical ill-posed problem due to complex degradation. Leading methods based on normalizing flows have tried to solve this problem with an invertible transformation instead of a deterministic mapping. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Wenchao Du , Hu Chen , Yi Zhang , H. Yang

Recently, Neural Radiance Fields (NeRF) has exhibited significant success in novel view synthesis, surface reconstruction, etc. However, since no physical reflection is considered in its rendering pipeline, NeRF mistakes the reflection in…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Junyi Zeng , Chong Bao , Rui Chen , Zilong Dong , Guofeng Zhang , Hujun Bao , Zhaopeng Cui

Inverse rendering, the process of inferring scene properties from images, is a challenging inverse problem. The task is ill-posed, as many different scene configurations can give rise to the same image. Most existing solutions incorporate…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Linjie Lyu , Ayush Tewari , Marc Habermann , Shunsuke Saito , Michael Zollhöfer , Thomas Leimkühler , Christian Theobalt