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While recovery of geometry from image and video data has received a lot of attention in computer vision, methods to capture the texture for a given geometry are less mature. Specifically, classical methods for texture generation often…

Computer Vision and Pattern Recognition · Computer Science 2022-07-29 Xiaoming Zhao , Zhizhen Zhao , Alexander G. Schwing

Representation learning on large-scale unstructured volumetric and surface meshes poses significant challenges in neuroimaging, especially when models must incorporate diverse vertex-level morphometric descriptors, such as cortical…

Computer Vision and Pattern Recognition · Computer Science 2026-04-08 Yujian Xiong , Mohammad Farazi , Yanxi Chen , Wenhui Zhu , Xuanzhao Dong , Natasha Lepore , Yi Su , Raza Mushtaq , Stephen Foldes , Andrew Yang , Yalin Wang

This work introduces an adaptive mesh refinement technique for hierarchical hybrid grids with the goal to reach scalability and maintain excellent performance on massively parallel computer systems. On the block structured hierarchical…

Numerical Analysis · Mathematics 2025-08-11 Benjamin Mann , Ulrich Rüde

We present a new hybrid paradigm for parallel adaptive mesh refinement (AMR) that combines the scalability and lightweight architecture of tree-based AMR with the computational efficiency of patch-based solvers for hyperbolic conservation…

Mathematical Software · Computer Science 2014-06-06 Carsten Burstedde , Donna Calhoun , Kyle Mandli , Andy R. Terrel

In this work we propose an adaptive Finite Element Method (FEM) formulation for the Deformable Image Registration problem (DIR) together with a residual-based a posteriori error estimator, whose efficiency and reliability are theoretically…

Numerical Analysis · Mathematics 2025-06-23 Nicolás A. Barnafi , Alberto F. Martın , Ricardo Ruiz-Baier

Reconstructing real-world objects from multi-view images is essential for applications in 3D editing, AR/VR, and digital content creation. Existing methods typically prioritize either geometric accuracy (Multi-View Stereo) or photorealistic…

Computer Vision and Pattern Recognition · Computer Science 2026-03-05 Zhejia Cai , Puhua Jiang , Shiwei Mao , Hongkun Cao , Ruqi Huang

This paper presents MetricGrids, a novel grid-based neural representation that combines elementary metric grids in various metric spaces to approximate complex nonlinear signals. While grid-based representations are widely adopted for their…

Computer Vision and Pattern Recognition · Computer Science 2025-03-14 Shu Wang , Yanbo Gao , Shuai Li , Chong Lv , Xun Cai , Chuankun Li , Hui Yuan , Jinglin Zhang

In this work, we revisit the marking decisions made in the standard adaptive finite element method (AFEM). Experience shows that a na\"{i}ve marking policy leads to inefficient use of computational resources for adaptive mesh refinement…

Numerical Analysis · Mathematics 2023-12-27 Andrew Gillette , Brendan Keith , Socratis Petrides

This work investigates the problem of instance-level image retrieval re-ranking with the constraint of memory efficiency, ultimately aiming to limit memory usage to 1KB per image. Departing from the prevalent focus on performance…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Pavel Suma , Giorgos Kordopatis-Zilos , Ahmet Iscen , Giorgos Tolias

The use of multigrid and related preconditioners with the finite element method is often limited by the difficulty of applying the algorithm effectively to a problem, especially when the domain has a complex shape or adaptive refinement. We…

Numerical Analysis · Computer Science 2015-03-19 Peter R. Brune , Matthew G. Knepley , L. Ridgway Scott

We present a new numerical algorithm for the solution of coupled collisional and collisionless systems, based on the block structured adaptive mesh and time refinement strategy (AMR). We describe the issues associated with the…

Astrophysics · Physics 2008-11-26 Francesco Miniati , Phillip Colella

Mesh-based simulations are central to modeling complex physical systems in many disciplines across science and engineering. Mesh representations support powerful numerical integration methods and their resolution can be adapted to strike…

Machine Learning · Computer Science 2021-06-21 Tobias Pfaff , Meire Fortunato , Alvaro Sanchez-Gonzalez , Peter W. Battaglia

Modern computing systems are capable of exascale calculations, which are revolutionizing the development and application of high-fidelity numerical models in computational science and engineering. While these systems continue to grow in…

Optimization and Control · Mathematics 2024-10-11 Graham Harper , Denis Ridzal , Tim Wildey

Adaptive interface-Mesh un-Refinement (AiMuR) based Sharp-Interface Level-Set-Method (SI-LSM) is proposed for both uniform and non-uniform Cartesian-Grid. The AiMuR involves interface location based dynamic un-refinement (with merging of…

Fluid Dynamics · Physics 2021-11-09 Kuntal Patel , Javed Shaikh , Absar Lakdawala , Atul Sharma

In this work, we present an adaptive unfitted finite element scheme that combines the aggregated finite element method with parallel adaptive mesh refinement. We introduce a novel scalable distributed-memory implementation of the resulting…

Numerical Analysis · Mathematics 2021-09-30 Santiago Badia , Alberto F. Martín , Eric Neiva , Francesc Verdugo

Exploratory analysis of high-dimensional data relies on embedding the data into a low-dimensional space (typically 2D or 3D), based on which visualization plot is produced to uncover meaningful structures and to communicate geometric and…

Human-Computer Interaction · Computer Science 2026-04-23 Burak Susam , Tingting Mu

Large language models (LLMs) have been widely applied but face challenges in efficient inference. While quantization methods reduce computational demands, ultra-low bit quantization with arbitrary precision is hindered by limited GPU Tensor…

Machine Learning · Computer Science 2025-03-14 Shaobo Ma , Chao Fang , Haikuo Shao , Zhongfeng Wang

Structured Adaptive Mesh Refinement (SAMR) is a popular numerical technique to study processes with high spatial and temporal dynamic range. It reduces computational requirements by adapting the lattice on which the underlying differential…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Ralf Kaehler , Tom Abel

Our goal is to efficiently learn personalized animatable 3D head avatars from videos that are geometrically accurate, realistic, relightable, and compatible with current rendering systems. While 3D meshes enable efficient processing and are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Shrisha Bharadwaj , Yufeng Zheng , Otmar Hilliges , Michael J. Black , Victoria Fernandez-Abrevaya

This work concerns adaptive refinement procedures for meshes of polygonal virtual elements. Specifically, refinement procedures previously proposed by the authors for structured meshes are generalized for the challenging case of arbitrary…

Numerical Analysis · Mathematics 2023-03-31 Daniel van Huyssteen , Felipe Lopez Rivarola , Guillermo Etse , Paul Steinmann