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Generalizable neural implicit surface reconstruction aims to obtain an accurate underlying geometry given a limited number of multi-view images from unseen scenes. However, existing methods select only informative and relevant views using…

Computer Vision and Pattern Recognition · Computer Science 2024-05-20 Youngju Na , Woo Jae Kim , Kyu Beom Han , Suhyeon Ha , Sung-eui Yoon

We present a framework for accelerated iterative reconstructions using a fast and approximate forward model that is based on k-space methods for photoacoustic tomography. The approximate model introduces aliasing artefacts in the gradient…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Andreas Hauptmann , Ben Cox , Felix Lucka , Nam Huynh , Marta Betcke , Paul Beard , Simon Arridge

Neural implicit representations have emerged as a powerful paradigm for 3D reconstruction. However, despite their success, existing methods fail to capture fine geometric details and thin structures, especially in scenarios where only…

Computer Vision and Pattern Recognition · Computer Science 2025-04-23 Aarya Patel , Hamid Laga , Ojaswa Sharma

Iterative image reconstruction (IIR) algorithms in Computed Tomography (CT) are based on algorithms for solving a particular optimization problem. Design of the IIR algorithm, therefore, is aided by knowledge of the solution to the…

Medical Physics · Physics 2013-02-22 Emil Y. Sidky , Jakob S. Jørgensen , Xiaochuan Pan

We introduce an adaptive optical refinement method enabling ultra-precise micro-milling of arbitrary surfaces. Through repeated iteration, our method reduces surface error without requiring significant specific surface engineering. This…

Previous online 3D dense reconstruction methods struggle to achieve the balance between memory storage and surface quality, largely due to the usage of stagnant underlying geometry representation, such as TSDF (truncated signed distance…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Jiahui Huang , Shi-Sheng Huang , Haoxuan Song , Shi-Min Hu

A parameterized surface can be represented as a projection from a certain toric surface. This generalizes the classical homogeneous and bihomogeneous parameterizations. We extend to the toric case two methods for computing the implicit…

Algebraic Geometry · Mathematics 2007-05-23 Amit Khetan , Carlos D'Andrea

Deep implicit functions have shown remarkable shape modeling ability in various 3D computer vision tasks. One drawback is that it is hard for them to represent a 3D shape as multiple parts. Current solutions learn various primitives and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-26 Chao Chen , Yu-Shen Liu , Zhizhong Han

This paper presents a novel implicit scheme for the constraint resolution in real-time finite element simulations in the presence of contact and friction. Instead of using the standard motion correction scheme, we propose an iterative…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-13 Ziqiu Zeng , Hadrien Courtecuisse

Reconstructing objects from posed images is a crucial and complex task in computer graphics and computer vision. While NeRF-based neural reconstruction methods have exhibited impressive reconstruction ability, they tend to be…

Computer Vision and Pattern Recognition · Computer Science 2024-10-18 Shuichang Lai , Letian Huang , Jie Guo , Kai Cheng , Bowen Pan , Xiaoxiao Long , Jiangjing Lyu , Chengfei Lv , Yanwen Guo

For regularized optimization that minimizes the sum of a smooth term and a regularizer that promotes structured solutions, inexact proximal-Newton-type methods, or successive quadratic approximation (SQA) methods, are widely used for their…

Optimization and Control · Mathematics 2023-05-02 Ching-pei Lee

We study the convergence rate of the proximal incremental aggregated gradient (PIAG) method for minimizing the sum of a large number of smooth component functions (where the sum is strongly convex) and a non-smooth convex function. At each…

Optimization and Control · Mathematics 2016-11-28 Nuri Denizcan Vanli , Mert Gurbuzbalaban , Asu Ozdaglar

We propose an optimization proxy in terms of iterative implicit gradient methods for solving constrained optimization problems with nonconvex loss functions. This framework can be applied to a broad range of machine learning settings,…

Optimization and Control · Mathematics 2025-10-14 Harshal D. Kaushik , Ming Jin

The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated along those boundaries. For a viscous incompressible fluid,…

Numerical Analysis · Mathematics 2026-03-10 Michael J. Facci , Qi Sun , Boyce E. Griffith

Implicit representation of shapes as level sets of multilayer perceptrons has recently flourished in different shape analysis, compression, and reconstruction tasks. In this paper, we introduce an implicit neural representation-based…

Computer Vision and Pattern Recognition · Computer Science 2023-07-25 Tin Vlašić , Hieu Nguyen , AmirEhsan Khorashadizadeh , Ivan Dokmanić

High-quality imaging in photoacoustic computed tomography (PACT) usually requires a high-channel count system for dense spatial sampling around the object to avoid aliasing-related artefacts. To reduce system complexity, various image…

Image and Video Processing · Electrical Eng. & Systems 2024-09-24 Bowei Yao , Shilong Cui , Haizhao Dai , Qing Wu , Youshen Xiao , Fei Gao , Jingyi Yu , Yuyao Zhang , Xiran Cai

We develop a method that recovers the surface, materials, and illumination of a scene from its posed multi-view images. In contrast to prior work, it does not require any additional data and can handle glossy objects or bright lighting. It…

Computer Vision and Pattern Recognition · Computer Science 2025-04-08 Yue Fan , Ningjing Fan , Ivan Skorokhodov , Oleg Voynov , Savva Ignatyev , Evgeny Burnaev , Peter Wonka , Yiqun Wang

Reconstruction of object or scene surfaces has tremendous applications in computer vision, computer graphics, and robotics. In this paper, we study a fundamental problem in this context about recovering a surface mesh from an implicit field…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Jiabao Lei , Kui Jia , Yi Ma

Surface reconstruction has been seeing a lot of progress lately by utilizing Implicit Neural Representations (INRs). Despite their success, INRs often introduce hard to control inductive bias (i.e., the solution surface can exhibit…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Albert Pumarola , Artsiom Sanakoyeu , Lior Yariv , Ali Thabet , Yaron Lipman

The fine-grained surface reconstruction of different organs from 3D medical imaging can provide advanced diagnostic support and improved surgical planning. However, the representation of the organs is often limited by the resolution, with a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Farahdiba Zarin , Nicolas Padoy , Jérémy Dana , Vinkle Srivastav