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We present an inverse method for transforming a given parallel light emittance to two light distributions at different parallel target planes using two freeform reflectors. The reflectors control both the spatial and directional target…

We present a novel convolutional neural network architecture for photometric stereo (Woodham, 1980), a problem of recovering 3D object surface normals from multiple images observed under varying illuminations. Despite its long history in…

Computer Vision and Pattern Recognition · Computer Science 2018-05-30 Tatsunori Taniai , Takanori Maehara

We introduce a convolutional neural network for inferring a compact disentangled graphical description of objects from 2D images that can be used for volumetric reconstruction. The network comprises an encoder and a twin-tailed decoder. The…

Computer Vision and Pattern Recognition · Computer Science 2016-10-13 Edward Grant , Pushmeet Kohli , Marcel van Gerven

Deep neural networks provide state-of-the-art performance for image denoising, where the goal is to recover a near noise-free image from a noisy observation. The underlying principle is that neural networks trained on large datasets have…

Information Theory · Computer Science 2019-04-09 Reinhard Heckel , Wen Huang , Paul Hand , Vladislav Voroninski

Scattering often limits the controlled delivery of light in applications such as biomedical imaging, optogenetics, optical trapping, and fiber-optic communication or imaging. Such scattering can be controlled by appropriately shaping the…

Optics · Physics 2019-02-19 Alex Turpin , Ivan Vishniakou , Johannes D. Seelig

Physics-based inverse rendering enables joint optimization of shape, material, and lighting based on captured 2D images. To ensure accurate reconstruction, using a light model that closely resembles the captured environment is essential.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Jingwang Ling , Ruihan Yu , Feng Xu , Chun Du , Shuang Zhao

We propose a data-driven method for recovering miss-ing parts of 3D shapes. Our method is based on a new deep learning architecture consisting of two sub-networks: a global structure inference network and a local geometry refinement…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Xiaoguang Han , Zhen Li , Haibin Huang , Evangelos Kalogerakis , Yizhou Yu

We demonstrate the use of machine learning through convolutional neural networks to solve inverse design problems of optical resonator engineering. The neural network finds a harmonic modulation of a spherical mirror to generate a resonator…

Optics · Physics 2022-02-08 Denis V. Karpov , Sergei Kurdiumov , Peter Horak

This paper develops a mathematical theory of super-resolution. Broadly speaking, super-resolution is the problem of recovering the fine details of an object---the high end of its spectrum---from coarse scale information only---from samples…

Information Theory · Computer Science 2012-11-15 Emmanuel Candes , Carlos Fernandez-Granda

Capturing visual image with a hyperspectral camera has been successfully applied to many areas due to its narrow-band imaging technology. Hyperspectral reconstruction from RGB images denotes a reverse process of hyperspectral imaging by…

Image and Video Processing · Electrical Eng. & Systems 2020-05-12 Yuzhi Zhao , Lai-Man Po , Qiong Yan , Wei Liu , Tingyu Lin

We consider the problem of high-dimensional light field reconstruction and develop a learning-based framework for spatial and angular super-resolution. Many current approaches either require disparity clues or restore the spatial and…

Image and Video Processing · Electrical Eng. & Systems 2020-09-18 Nan Meng , Hayden K. -H. So , Xing Sun , Edmund Y. Lam

We propose a two-scale neural network method for optimal control problems governed by convection-dominated convection-diffusion-reaction equations. Building on two-scale architectures developed for singularly perturbed forward problems, we…

Numerical Analysis · Mathematics 2026-05-19 Sijing Liu , Marcus Sarkis , Yi Zhang , Zhongqiang Zhang

Monocular depth estimation and image deblurring are two fundamental tasks in computer vision, given their crucial role in understanding 3D scenes. Performing any of them by relying on a single image is an ill-posed problem. The recent…

Computer Vision and Pattern Recognition · Computer Science 2023-07-31 Saqib Nazir , Lorenzo Vaquero , Manuel Mucientes , Víctor M. Brea , Daniela Coltuc

We introduce Neural Deformation Graphs for globally-consistent deformation tracking and 3D reconstruction of non-rigid objects. Specifically, we implicitly model a deformation graph via a deep neural network. This neural deformation graph…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Justus Thies , Angela Dai , Matthias Nießner

Accurate depth estimation from images is a fundamental task in many applications including scene understanding and reconstruction. Existing solutions for depth estimation often produce blurry approximations of low resolution. This paper…

Computer Vision and Pattern Recognition · Computer Science 2019-03-12 Ibraheem Alhashim , Peter Wonka

Image reconstruction under multiple light scattering is crucial in a number of applications such as diffraction tomography. The reconstruction problem is often formulated as a nonconvex optimization, where a nonlinear measurement model is…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Yu Sun , Zhihao Xia , Ulugbek S. Kamilov

Convolution is a central operation in Convolutional Neural Networks (CNNs), which applies a kernel to overlapping regions shifted across the image. However, because of the strong correlations in real-world image data, convolutional kernels…

Neural representations have emerged as a new paradigm for applications in rendering, imaging, geometric modeling, and simulation. Compared to traditional representations such as meshes, point clouds, or volumes they can be flexibly…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Julien N. P. Martel , David B. Lindell , Connor Z. Lin , Eric R. Chan , Marco Monteiro , Gordon Wetzstein

We develop a corrective mechanism for neural network approximation: the total available non-linear units are divided into multiple groups and the first group approximates the function under consideration, the second group approximates the…

Machine Learning · Computer Science 2020-06-23 Guy Bresler , Dheeraj Nagaraj

Ptychography spans from sub-angstrom to meter scales yet suffers from convergence instability and excessive data redundancy. Here we introduce self-correcting residual neural fields as a dose-efficient framework for electron, X-ray, and…