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We devise a numerical method for passive advection of a surface, such as the interface between two incompressible fluids, across a computational mesh. The method is called isoAdvector, and is developed for general meshes consisting of…

Fluid Dynamics · Physics 2016-11-29 Johan Roenby , Henrik Bredmose , Hrvoje Jasak

A challenge in isogeometric analysis is constructing analysis-suitable volumetric meshes which can accurately represent the geometry of a given physical domain. In this paper, we propose a method to derive a spline-based representation of a…

Graphics · Computer Science 2017-03-22 Chiu Ling Chan , Cosmin Anitescu , Timon Rabczuk

To visually compare ensembles of volumes, dynamic volume lines (DVLs) represent each ensemble member as a 1D polyline. To compute these, the volume cells are sorted on a space-filling curve and scaled by the ensemble's local variation. The…

Graphics · Computer Science 2023-06-21 Stefan Zellmann , Serkan Demirci , Uğur Güdükbay

Vision-Language Models (VLMs) frequently misread values, hallucinate details, and confuse overlapping elements in charts. Current approaches rely solely on pixel interpretation, creating a Pixel-Only Bottleneck: agents treat interactive…

Computation and Language · Computer Science 2026-04-24 Yiyang Lu , Woong Shin , Ahmad Maroof Karimi , Feiyi Wang , Jie Ren , Evgenia Smirni

Interactive volume visualization using a mixed reality (MR) system helps provide users with an intuitive spatial perception of volumetric data. Due to sophisticated requirements of user interaction and vision when using MR head-mounted…

Graphics · Computer Science 2023-09-06 Haojie Cheng , Chunxiao Xu , Xujing Chen , Zhenxin Chen , Jiajun Wang , Lingxiao Zhao

In medical image visualization, path tracing of volumetric medical data like CT scans produces lifelike three-dimensional visualizations. Immersive VR displays can further enhance the understanding of complex anatomies. Going beyond the…

Graphics · Computer Science 2026-01-30 Constantin Kleinbeck , Hannah Schieber , Klaus Engel , Ralf Gutjahr , Daniel Roth

Isogeometric Analysis (IGA) is a recently introduced computational approach intended to breach the gap between the Finite Element Analysis and the Computer Aided Design worlds. In this work, we apply it to numerically simulate thermal…

Numerical Analysis · Mathematics 2018-12-05 Alexander Shamanskiy , Bernd Simeon

The article is devoted to the simulation of viscous incompressible turbulent fluid flow based on solving the Reynolds averaged Navier-Stokes (RANS) equations with different k-omega models. The isogeometrical approach is used for the…

Numerical Analysis · Mathematics 2016-03-02 Bohumír Bastl , Marek Brandner , Jiří Egermaier , Kristýna Michálková , Eva Turnerová

Topology optimization is a valuable tool in engineering, facilitating the design of optimized structures. However, topological changes often require a remeshing step, which can become challenging. In this work, we propose an isogeometric…

Numerical Analysis · Mathematics 2026-05-01 Guilherme Henrique Teixeira , Nepomuk Krenn , Peter Gangl , Benjamin Marussig

The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity can be advanced…

Numerical Analysis · Mathematics 2022-10-04 Jon Vegard Venås , Trond Kvamsdal

Immersogeometric analysis (IMGA) is a geometrically flexible method that enables one to perform multiphysics analysis directly using complex computer-aided design (CAD) models. In this paper, we develop a novel IMGA approach for simulating…

Fluid Dynamics · Physics 2022-12-14 Aditya Balu , Manoj R. Rajanna , Joel Khristy , Fei Xu , Adarsh Krishnamurthy , Ming-Chen Hsu

Analyzing high-dimensional data presents challenges due to the "curse of dimensionality'', making computations intensive. Dimension reduction techniques, categorized as linear or non-linear, simplify such data. Non-linear methods are…

Machine Learning · Statistics 2025-04-15 Praveen T. W. Hettige , Benjamin W. Ong

Understanding the flow of deformable particles such as liquid drops, synthetic capsules and vesicles, and biological cells confined in a small channel is essential to a wide range of potential chemical and biomedical engineering…

Fluid Dynamics · Physics 2020-11-18 J. M. Lyu , Paul G. Chen , G. Boedec , M. Leonetti , M. Jaeger

This paper presents a new technique for the virtual reality (VR) visu-alization of complex volume images obtained from computer tomography (CT) and Magnetic Resonance Imaging (MRI) by combining three-dimensional (3D) mesh processing and…

Multimedia · Computer Science 2023-05-02 Iva Vasic , Roberto Pierdicca , Emanuele Frontoni , Bata Vasic

Engineering design via CAD software relies on Non-Uniform Rational B-Splines (NURBS) as a means for representing and communicating geometry. Therefore, in general, a NURBS description of a given design can be considered the exact…

Numerical Analysis · Mathematics 2018-12-05 Norbert Hosters , Jan Helmig , Atanas Stavrev , Marek Behr , Stefanie Elgeti

We propose GS-IR, a novel inverse rendering approach based on 3D Gaussian Splatting (GS) that leverages forward mapping volume rendering to achieve photorealistic novel view synthesis and relighting results. Unlike previous works that use…

Computer Vision and Pattern Recognition · Computer Science 2024-03-29 Zhihao Liang , Qi Zhang , Ying Feng , Ying Shan , Kui Jia

Analyzing large complex image collections in domains like forensics, accident investigation, or social media analysis involves interpreting intricate, overlapping relationships among images. Traditional clustering and classification methods…

Graphics · Computer Science 2025-10-24 Floris Gisolf , Zeno J. M. H. Geradts , Marcel Worring

Large-scale numerical simulations of planetary interiors require dedicated visualization algorithms that are able to efficiently extract a large amount of information in an interactive and user-friendly way. Here we present a software…

Isogeometrically enriched finite elements offer efficient localized isogeometric analysis (IGA) enrichment for numerical simulations involving large computational domains. This is achieved by employing surface enriched elements to interface…

Fluid Dynamics · Physics 2017-11-30 Raheel Rasool , Maximilian Harmel , Roger A. Sauer

We present a differentiable volume rendering solution that provides differentiability of all continuous parameters of the volume rendering process. This differentiable renderer is used to steer the parameters towards a setting with an…

Graphics · Computer Science 2022-07-26 Sebastian Weiss , Rüdiger Westermann