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Unfitted mesh formulations for interface problems generally adopt two distinct methodologies: (i) penalty-based approaches and (ii) explicit enrichment space techniques. While Stable Generalized Finite Element Method (SGFEM) has been…

Numerical Analysis · Mathematics 2025-03-21 Yin Song , Wenkai Hu , Xin Li

Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the construction of isogeometric numerical methods for elliptic PDEs on…

Numerical Analysis · Mathematics 2019-09-04 Pablo Antolin , Annalisa Buffa , Massimiliano Martinelli

We study the question of how visual analysis can support the comparison of spatio-temporal ensemble data of liquid and gas flow in porous media. To this end, we focus on a case study, in which nine different research groups concurrently…

Human-Computer Interaction · Computer Science 2023-11-28 Ruben Bauer , Quynh Quang Ngo , Guido Reina , Steffen Frey , Bernd Flemisch , Helwig Hauser , Thomas Ertl , Michael Sedlmair

A central challenge in data visualization is to understand which data samples are required to generate an image of a data set in which the relevant information is encoded. In this work, we make a first step towards answering the question of…

Graphics · Computer Science 2021-03-12 Sebastian Weiss , Mustafa Işık , Justus Thies , Rüdiger Westermann

This paper deals with a special class of parametrizations for Isogeometric Analysis (IGA). The so-called scaled boundary parametrizations are easy to construct and particularly attractive if only a boundary description of the computational…

Numerical Analysis · Mathematics 2017-11-22 Clarissa Arioli , Alexander Shamanskiy , Sven Klinkel , Bernd Simeon

Phase plotting is a useful way of visualising functions on complex space. We reinvent the method in the context of hyperbolic geometry, and we use it to plot functions on various representative surfaces for hyperbolic space, illustrating…

Differential Geometry · Mathematics 2019-03-28 Scott B. Lindstrom , Paul Vrbik

Analysis of high dimensional data is a common task. Often, small multiples are used to visualize 1 or 2 dimensions at a time, such as in a scatterplot matrix. Associating data points between different views can be difficult though, as the…

Graphics · Computer Science 2014-08-05 Chris W. Muelder , Nick Leaf , Carmen Sigovan , Kwan-Liu Ma

Recently, machine learning has been used to substitute parts of conventional computational fluid dynamics, e.g. the cell-face reconstruction in finite-volume solvers or the curvature computation in the Volume-of-Fluid (VOF) method. The…

Fluid Dynamics · Physics 2022-03-14 Aaron B. Buhendwa , Deniz A. Bezgin , Nikolaus Adams

Purpose: Development of a novel interactive visualization approach for the exploration of radiotherapy treatment plans with a focus on overlap volumes with the aim of healthy tissue sparing. Methods: We propose a visualization approach to…

Human-Computer Interaction · Computer Science 2023-10-03 Matthias Schlachter , Samuel Peters , Daniel Camenisch , Paul Martin Putora , Katja Bühler

We introduce a novel geometry-guided online video view synthesis method with enhanced view and temporal consistency. Traditional approaches achieve high-quality synthesis from dense multi-view camera setups but require significant…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Hyunho Ha , Lei Xiao , Christian Richardt , Thu Nguyen-Phuoc , Changil Kim , Min H. Kim , Douglas Lanman , Numair Khan

The increasing complexity and volume of network data demand effective analysis approaches, with visual exploration proving particularly beneficial. Immersive technologies, such as augmented reality, virtual reality, and large display walls,…

Human-Computer Interaction · Computer Science 2025-09-11 Lucas Joos , Maximilian T. Fischer , Julius Rauscher , Daniel A. Keim , Tim Dwyer , Falk Schreiber , Karsten Klein

Novel view synthesis is a challenging and ill-posed inverse rendering problem. Neural rendering techniques have recently achieved photorealistic image quality for this task. State-of-the-art (SOTA) neural volume rendering approaches,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Petr Kellnhofer , Lars Jebe , Andrew Jones , Ryan Spicer , Kari Pulli , Gordon Wetzstein

This paper presents a geometric approach to the classical isoperimetric problem by analysing the efficiency of regular polygons in enclosing maximum area for a fixed perimeter. Using efficiency metrics, it proves that regular polygons…

General Mathematics · Mathematics 2025-07-22 Lakshya Chaudhary

High-quality view synthesis relies on volume rendering, splatting, or surface rendering. While surface rendering is typically the fastest, it struggles to accurately model fuzzy geometry like hair. In turn, alpha-blending techniques excel…

Existing time-resolved non-line-of-sight (NLOS) imaging methods reconstruct hidden scenes by inverting the optical paths of indirect illumination measured at visible relay surfaces. These methods are prone to reconstruction artifacts due to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-27 Kiseok Choi , Inchul Kim , Dongyoung Choi , Julio Marco , Diego Gutierrez , Min H. Kim

With the rise of deep learning, there is a fundamental change in visual SLAM algorithms toward developing different modules trained as end-to-end pipelines. However, regardless of the implementation domain, visual SLAM's performance is…

Robotics · Computer Science 2025-03-06 Olaya Alvarez-Tunon , Yury Brodskiy , Erdal Kayacan

This paper reviews the state of the art and discusses recent developments in the field of adaptive isogeometric analysis, with special focus on the mathematical theory. This includes an overview of available spline technologies for the…

Numerical Analysis · Mathematics 2022-11-18 Annalisa Buffa , Gregor Gantner , Carlotta Giannelli , Dirk Praetorius , Rafael Vázquez

Visual design tasks often involve tuning many design parameters. For example, color grading of a photograph involves many parameters, some of which non-expert users might be unfamiliar with. We propose a novel user-in-the-loop optimization…

Graphics · Computer Science 2020-05-11 Yuki Koyama , Issei Sato , Masataka Goto

Volume data is found in many important scientific and engineering applications. Rendering this data for visualization at high quality and interactive rates for demanding applications such as virtual reality is still not easily achievable…

Graphics · Computer Science 2022-09-22 David Bauer , Qi Wu , Kwan-Liu Ma

The ultimate goal of many image-based modeling systems is to render photo-realistic novel views of a scene without visible artifacts. Existing evaluation metrics and benchmarks focus mainly on the geometric accuracy of the reconstructed…

Computer Vision and Pattern Recognition · Computer Science 2016-01-27 Michael Waechter , Mate Beljan , Simon Fuhrmann , Nils Moehrle , Johannes Kopf , Michael Goesele