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A supervised learning approach is proposed for regularization of large inverse problems where the main operator is built from noisy data. This is germane to superresolution imaging via the sampling indicators of the inverse scattering…

Numerical Analysis · Mathematics 2025-08-22 Fatemeh Pourahmadian , Yang Xu

Remote sensing images (RSIs) in real scenes may be disturbed by multiple factors such as optical blur, undersampling, and additional noise, resulting in complex and diverse degradation models. At present, the mainstream SR algorithms only…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Hanlin Wu , Ning Ni , Shan Wang , Libao Zhang

Stochastic gradient descent (SGD) is a promising method for solving large-scale inverse problems, due to its excellent scalability with respect to data size. In this work, we analyze a new data-driven regularized stochastic gradient descent…

Numerical Analysis · Mathematics 2024-09-30 Zehui Zhou

Neural Radiance Fields (NeRFs) have emerged as a powerful paradigm for multi-view reconstruction, complementing classical photogrammetric pipelines based on Structure-from-Motion (SfM) and Multi-View Stereo (MVS). However, their reliability…

Computer Vision and Pattern Recognition · Computer Science 2026-02-13 Jiangsan Zhao , Jakob Geipel , Kryzysztof Kusnierek

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

Image and Video Processing · Electrical Eng. & Systems 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

Advanced techniques using Neural Radiance Fields (NeRF), Signed Distance Fields (SDF), and Occupancy Fields have recently emerged as solutions for 3D indoor scene reconstruction. We introduce a novel two-phase learning approach, H2O-SDF,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Minyoung Park , Mirae Do , YeonJae Shin , Jaeseok Yoo , Jongkwang Hong , Joongrock Kim , Chul Lee

In recent years, neural signed distance function (SDF) has become one of the most effective representation methods for 3D models. By learning continuous SDFs in 3D space, neural networks can predict the distance from a given query space…

Computer Vision and Pattern Recognition · Computer Science 2022-01-21 Yuanzhan Li , Yuqi Liu , Yujie Lu , Siyu Zhang , Shen Cai , Yanting Zhang

Accurate and efficient 3D mapping of large-scale outdoor environments from LiDAR measurements is a fundamental challenge in robotics, particularly towards ensuring smooth and artifact-free surface reconstructions. Although the…

Graphics · Computer Science 2025-03-13 Hrishikesh Viswanath , Md Ashiqur Rahman , Chi Lin , Damon Conover , Aniket Bera

Physics-informed neural networks (PINNs) have effectively been demonstrated in solving forward and inverse differential equation problems, but they are still trapped in training failures when the target functions to be approximated exhibit…

Machine Learning · Computer Science 2023-03-06 Ye Li , Song-Can Chen , Sheng-Jun Huang

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski

Photo-realistic rendering and novel view synthesis play a crucial role in human-computer interaction tasks, from gaming to path planning. Neural Radiance Fields (NeRFs) model scenes as continuous volumetric functions and achieve remarkable…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Iryna Repinetska , Anna Hilsmann , Peter Eisert

The success of neural fields for 3D vision tasks is now indisputable. Following this trend, several methods aiming for visual localization (e.g., SLAM) have been proposed to estimate distance or density fields using neural fields. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-08-01 Itsuki Ueda , Yoshihiro Fukuhara , Hirokatsu Kataoka , Hiroaki Aizawa , Hidehiko Shishido , Itaru Kitahara

Implicit Neural Representations (INRs) encode discrete signals in a continuous manner using neural networks, demonstrating significant value across various multimedia applications. However, the vulnerability of INRs presents a critical…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Wenyong Zhou , Yuxin Cheng , Zhengwu Liu , Taiqiang Wu , Chen Zhang , Ngai Wong

Neural surface reconstruction relies heavily on accurate camera poses as input. Despite utilizing advanced pose estimators like COLMAP or ARKit, camera poses can still be noisy. Existing pose-NeRF joint optimization methods handle poses…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Yi Gu , Dongjun Ye , Zhaorui Wang , Jiaxu Wang , Jiahang Cao , Renjing Xu

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Samuel Weidemaier , Christoph Norden-Smoch , Martin Rumpf

Deep neural networks (DNNs) are widely applied for nowadays 3D surface reconstruction tasks and such methods can be further divided into two categories, which respectively warp templates explicitly by moving vertices or represent 3D…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Xianghui Yang , Guosheng Lin , Zhenghao Chen , Luping Zhou

We present a simple algorithm for differentiable rendering of surfaces represented by Signed Distance Fields (SDF), which makes it easy to integrate rendering into gradient-based optimization pipelines. To tackle visibility-related…

Graphics · Computer Science 2024-06-10 Zichen Wang , Xi Deng , Ziyi Zhang , Wenzel Jakob , Steve Marschner

Signed distance-radiance field (SDF-NeRF) is a promising environment representation that offers both photo-realistic rendering and geometric reasoning such as proximity queries for collision avoidance. However, the slow training speed and…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 Runfa Blark Li , Keito Suzuki , Bang Du , Ki Myung Brian Lee , Nikolay Atanasov , Truong Nguyen

Deep neural networks are vulnerable to input deformations in the form of vector fields of pixel displacements and to other parameterized geometric deformations e.g. translations, rotations, etc. Current input deformation certification…

Machine Learning · Computer Science 2021-12-21 Motasem Alfarra , Adel Bibi , Naeemullah Khan , Philip H. S. Torr , Bernard Ghanem