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The novel Locally Refined B-spline (LR B-spline) surface format is suited for representing terrain and seabed data in a compact way. It provides an alternative to the well know raster and triangulated surface representations. An LR B-spline…

Numerical Analysis · Mathematics 2021-05-13 Vibeke Skytt , Tor Dokken

We have recently developed an algorithm for vector field visualization with oriented streamlines, able to depict the flow directions everywhere in a dense vector field and the sense of the local orientations. The algorithm has useful…

Graphics · Computer Science 2007-05-23 A. Sparavigna , B. Montrucchio

A recent development, called isogeometric analysis, provides a unified approach for design, analysis and optimization of functional products in industry. Traditional volume rendering methods for inspecting the results from the numerical…

Graphics · Computer Science 2015-05-08 Franz G. Fuchs , Jon M. Hjelmervik

Reachable Minimally supported (RM) B-splines have been recently introduced as a novel B-spline--like basis. They feature local linear independence and admit a fast de Boor--like evaluation algorithm. These properties make them particularly…

Numerical Analysis · Mathematics 2025-12-01 Francesco Patrizi

Locally refined spline surfaces (LRB) is a representation well suited for scattered data approximation. When a data set has local details in some areas and is largely smooth in other, LR B-splines allow the spatial distribution of degrees…

Numerical Analysis · Mathematics 2020-12-16 Vibeke Skytt , Tor Dokken

We propose a method to efficiently compute tomographic projections of a 3D volume represented by a linear combination of shifted B-splines. To do so, we propose a ray-tracing algorithm that computes 3D line integrals with arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Youssef Haouchat , Sepand Kashani , Aleix Boquet-Pujadas , Philippe Thévenaz , Michael Unser

New web technologies have enabled the deployment of powerful GPU-based computational pipelines that run entirely in the web browser, opening a new frontier for accessible scientific visualization applications. However, these new…

Graphics · Computer Science 2023-09-20 Will Usher , Landon Dyken , Sidharth Kumar

In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two…

Numerical Analysis · Mathematics 2020-07-15 Francesco Patrizi , Carla Manni , Francesca Pelosi , Hendrik Speleers

We present an efficient B-spline finite element method (FEM) for cloth simulation. While higher-order FEM has long promised higher accuracy, its adoption in cloth simulators has been limited by its larger computational costs while…

Graphics · Computer Science 2026-05-05 Yuqi Meng , Yihao Shi , Kemeng Huang , Zixuan Lu , Ning Guo , Taku Komura , Yin Yang , Minchen Li

Visualization of large vector line data is a core task in geographic and cartographic systems. Vector maps are often displayed at different cartographic generalization levels, traditionally by using several discrete levels-of-detail (LODs).…

Graphics · Computer Science 2020-06-18 Alireza Amiraghdam , Alexandra Diehl , Renato Pajarola

Vectorization of images is a key concern uniting computer graphics and computer vision communities. In this paper we are presenting a novel idea for efficient, customizable vectorization of raster images, based on Catmull Rom spline…

Computer Vision and Pattern Recognition · Computer Science 2014-03-05 Tolga Birdal , Emrah Bala

Neural networks have shown great potential in compressing volume data for visualization. However, due to the high cost of training and inference, such volumetric neural representations have thus far only been applied to offline data…

Graphics · Computer Science 2023-07-03 Qi Wu , David Bauer , Michael J. Doyle , Kwan-Liu Ma

Implicit neural representations (INRs) have emerged as a powerful tool for compressing large-scale volume data. This opens up new possibilities for in situ visualization. However, the efficient application of INRs to distributed data…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-23 Qi Wu , Joseph A. Insley , Victor A. Mateevitsi , Silvio Rizzi , Michael E. Papka , Kwan-Liu Ma

We present a flexible illustrative line style model for the visualization of streamline data. Our model partitions view-oriented line strips into parallel bands whose basic visual properties can be controlled independently. We thus extend…

Graphics · Computer Science 2015-04-20 Maarten H. Everts , Henk Bekker , Jos B. T. M. Roerdink , Tobias Isenberg

The introduction of consumer RGB-D scanners set off a major boost in 3D computer vision research. Yet, the precision of existing depth scanners is not accurate enough to recover fine details of a scanned object. While modern shading based…

Computer Vision and Pattern Recognition · Computer Science 2016-03-31 Roy Or - El , Rom Hershkovitz , Aaron Wetzler , Guy Rosman , Alfred M. Bruckstein , Ron Kimmel

We present here the first systematic treatment of the problems posed by the visualization and analysis of large-scale, parallel adaptive mesh refinement (AMR) simulations on an Eulerian grid. When compared to those obtained by constructing…

Graphics · Computer Science 2017-02-17 Guénolé Harel , Jacques-Bernard Lekien , Philippe P. Pébaÿ

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

When employing Direct Volume Rendering (DVR) for visualizing volumetric scalar fields, classification is generally performed on a piecewise constant or piecewise linear approximation of the field on a viewing ray. Smoothed Particle…

Graphics · Computer Science 2024-01-08 Jonathan Fischer , Martin Schulze , Paul Rosenthal , Lars Linsen

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

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
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