Monte Carlo Methods for 2D Flow Visualization

dc.contributor.authorTian, Xingzeen_US
dc.contributor.authorGünther, Tobiasen_US
dc.contributor.editorEl-Assady, Mennatallahen_US
dc.contributor.editorOttley, Alvittaen_US
dc.contributor.editorTominski, Christianen_US
dc.date.accessioned2025-05-26T06:59:03Z
dc.date.available2025-05-26T06:59:03Z
dc.date.issued2025
dc.description.abstractIn this paper, we investigate how recent advances from the computer graphics literature can be applied to improve the visualization of two-dimensional vector fields. To this end, we propose two different approaches that both start from a set of evenly-spaced streamlines. The first approach avoids the need for contrast normalization, which is usually required for LIC approaches. For this, the image synthesis is phrased as a diffusion problem by placing double-sided Dirichlet boundary conditions along the streamlines. The diffusion problem is formally modeled as a linear elliptic partial differential equation, which is solved stochastically using a variant of the walk-on-spheres algorithm in order to achieve anti-aliased results. The second approach leverages human's perception of shape to convey flow patterns. For this, we lift the streamlines into the third dimension and generate visual contrast among adjacent streamlines by means of ambient occlusion. To synthesize the images, we apply a physically based material model and employ a Monte Carlo renderer to simulate the light transport.en_US
dc.description.sectionheadersTechniques and Tools
dc.description.seriesinformationEuroVis 2025 - Short Papers
dc.identifier.doi10.2312/evs.20251089
dc.identifier.isbn978-3-03868-282-0
dc.identifier.pages5 pages
dc.identifier.urihttps://doi.org/10.2312/evs.20251089
dc.identifier.urihttps://diglib.eg.org/handle/10.2312/evs20251089
dc.publisherThe Eurographics Associationen_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectCCS Concepts: Human-centered computing → Scientific visualization; Computing methodologies → Rendering
dc.subjectHuman centered computing → Scientific visualization
dc.subjectComputing methodologies → Rendering
dc.titleMonte Carlo Methods for 2D Flow Visualizationen_US
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