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Scientific optical 3D modeling requires the possibility to implement highly flexible and customizable mathematical models as well as high computing power. However, established ray tracing software for optical design and modeling purposes…

Computational Engineering, Finance, and Science · Computer Science 2023-08-15 Andrej Keksel , Samuel Schmidt , Dietrich Beck , Jörg Seewig

We consider the problem of solving floating-point constraints obtained from software verification. We present UppSAT --- a new implementation of a systematic approximation refinement framework [ZWR17] as an abstract SMT solver. Provided…

Logic in Computer Science · Computer Science 2017-12-12 Aleksandar Zeljic , Peter Backeman , Christoph M. Wintersteiger , Philipp Ruemmer

Volumetric visualization has long been dominated by Direct Volume Rendering (DVR), which operates on dense voxel grids and suffers from limited scalability as resolution and interactivity demands increase. Recent advances in 3D Gaussian…

Graphics · Computer Science 2026-04-15 Yuxuan Wang , Qibiao Li , Youcheng Cai

In basic computational physics classes, students often raise the question of how to compute a number that exceeds the numerical limit of the machine. While technique of avoiding overflow/underflow has practical application in the electrical…

Computational Physics · Physics 2015-03-17 Chih-Yueh Wang , Chen-Yang Yin , Hong-Yu Chen , Yung-Ko Chen

While Deep Neural Networks (DNNs) push the state-of-the-art in many machine learning applications, they often require millions of expensive floating-point operations for each input classification. This computation overhead limits the…

Neural and Evolutionary Computing · Computer Science 2017-05-12 Hokchhay Tann , Soheil Hashemi , Iris Bahar , Sherief Reda

We introduce HyperGaussians, a novel extension of 3D Gaussian Splatting for high-quality animatable face avatars. Creating such detailed face avatars from videos is a challenging problem and has numerous applications in augmented and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Gent Serifi , Marcel C. Buehler

Within the scope of reacting flow simulations, the real-time direct integration (DI) of stiff ordinary differential equations (ODE) for the computation of chemical kinetics stands as the primary demand on computational resources. Meanwhile,…

Fluid Dynamics · Physics 2024-03-01 Min Zhang , Runze Mao , Han Li , Zhenhua An , Zhi X. Chen

We leverage increasingly popular three-dimensional neural representations in order to construct a unified and consistent explanation of a collection of uncalibrated images of the human face. Our approach utilizes Gaussian Splatting, since…

Computer Vision and Pattern Recognition · Computer Science 2025-12-19 Haodi He , Jihun Yu , Ronald Fedkiw

360-degree visual content is widely shared on platforms such as YouTube and plays a central role in virtual reality, robotics, and autonomous navigation. However, consumer-grade dual-fisheye systems consistently yield imperfect panoramas…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Changha Shin , Woong Oh Cho , Seon Joo Kim

Simulating fluid-granular flows is crucial for understanding natural disasters, industrial processes, and visually realistic phenomena in computer graphics. These systems are challenging to simulate because of the strong nonlinear coupling…

Graphics · Computer Science 2026-03-17 Xingqiao Li , Kui Wu , Haozhe Su , Tianhong Gao , Mengyu Chu , Chenfanfu Jiang , Wei Li , Baoquan Chen

Volumetric medical imaging offers great potential for understanding complex pathologies. Yet, traditional 2D slices provide little support for interpreting spatial relationships, forcing users to mentally reconstruct anatomy into three…

Many challenges from natural world can be formulated as a graph matching problem. Previous deep learning-based methods mainly consider a full two-graph matching setting. In this work, we study the more general partial matching problem with…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Zhakshylyk Nurlanov , Frank R. Schmidt , Florian Bernard

We propose Differentiable Surface Splatting (DSS), a high-fidelity differentiable renderer for point clouds. Gradients for point locations and normals are carefully designed to handle discontinuities of the rendering function.…

Graphics · Computer Science 2019-09-05 Wang Yifan , Felice Serena , Shihao Wu , Cengiz Öztireli , Olga Sorkine-Hornung

The optimization of submodular functions constitutes a viable way to perform clustering. Strong approximation guarantees and feasible optimization w.r.t. streaming data make this clustering approach favorable. Technically, submodular…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-22 Philipp-Jan Honysz , Sebastian Buschjäger , Katharina Morik

Gaussian Splatting (GS), a recent technique for converting discrete points into continuous spatial representations, has shown promising results in 3D scene modeling and 2D image super-resolution. In this paper, we explore its untapped…

Computer Vision and Pattern Recognition · Computer Science 2025-09-03 Hongyu Li , Chaofeng Chen , Xiaoming Li , Guangming Lu

In this paper we propose a mixed precision algorithm in the context of the semi-Lagrangian discontinuous Galerkin method. The performance of this approach is evaluated on a traditional dual socket workstation as well as on a Xeon Phi and an…

Mathematical Software · Computer Science 2018-08-14 Lukas Einkemmer

Graphics Processing Units (GPUs) are now powerful and flexible systems adapted and used for other purposes than graphics calculations (General Purpose computation on GPU -- GPGPU). We present here a prototype to be integrated into…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-06-13 Sylvain Collange , Marc Daumas , David Defour

3D Gaussians have recently emerged as an efficient representation for novel view synthesis. This work studies its editability with a particular focus on the inpainting task, which aims to supplement an incomplete set of 3D Gaussians with…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zhiheng Liu , Hao Ouyang , Qiuyu Wang , Ka Leong Cheng , Jie Xiao , Kai Zhu , Nan Xue , Yu Liu , Yujun Shen , Yang Cao

Graphics Processing Units (GPUs) are high performance co-processors originally intended to improve the use and quality of computer graphics applications. Once, researchers and practitioners noticed the potential of using GPU for general…

Numerical Analysis · Computer Science 2016-07-12 K. Parand , Saeed Zafarvahedian , Sayyed A. Hossayni

The present research builds on a recently proposed spatial prediction method for discretized two-dimensional data, based on a suitably modified planar rotator (MPR) spin model from statistical physics. This approach maps the measured data…

Computational Physics · Physics 2020-07-08 Matúš Lach , Michal Borovský , Milan Žukovič
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