Paper
Domain Decomposition for Mean Curvature Flow of Surface Polygonal Meshes
Authors
Lenka Ptackova, Michal Outrata
Abstract
We examine the use of domain decomposition for potentially more efficient mean curvature flow of surface meshes, whose faces are arbitrary simple polygons. We first test traditional domain decomposition methods with and without overlap of deconstructed domains. And we present adapted Robin transmission conditions of optimized Schwarz method. We then analyze the resulting smoothing from the point of view of shape quality and texture deformation. By decomposing the initial mesh into two sub-meshes, we solve two smaller boundary value problems instead of one big problem, and we can process these two tasks almost entirely in parallel.
Metadata
Related papers
Fractal universe and quantum gravity made simple
Fabio Briscese, Gianluca Calcagni • 2026-03-25
POLY-SIM: Polyglot Speaker Identification with Missing Modality Grand Challenge 2026 Evaluation Plan
Marta Moscati, Muhammad Saad Saeed, Marina Zanoni, Mubashir Noman, Rohan Kuma... • 2026-03-25
LensWalk: Agentic Video Understanding by Planning How You See in Videos
Keliang Li, Yansong Li, Hongze Shen, Mengdi Liu, Hong Chang, Shiguang Shan • 2026-03-25
Orientation Reconstruction of Proteins using Coulomb Explosions
Tomas André, Alfredo Bellisario, Nicusor Timneanu, Carl Caleman • 2026-03-25
The role of spatial context and multitask learning in the detection of organic and conventional farming systems based on Sentinel-2 time series
Jan Hemmerling, Marcel Schwieder, Philippe Rufin, Leon-Friedrich Thomas, Mire... • 2026-03-25
Raw Data (Debug)
{
"raw_xml": "<entry>\n <id>http://arxiv.org/abs/2602.16874v1</id>\n <title>Domain Decomposition for Mean Curvature Flow of Surface Polygonal Meshes</title>\n <updated>2026-02-18T21:00:30Z</updated>\n <link href='https://arxiv.org/abs/2602.16874v1' rel='alternate' type='text/html'/>\n <link href='https://arxiv.org/pdf/2602.16874v1' rel='related' title='pdf' type='application/pdf'/>\n <summary>We examine the use of domain decomposition for potentially more efficient mean curvature flow of surface meshes, whose faces are arbitrary simple polygons. We first test traditional domain decomposition methods with and without overlap of deconstructed domains. And we present adapted Robin transmission conditions of optimized Schwarz method. We then analyze the resulting smoothing from the point of view of shape quality and texture deformation. By decomposing the initial mesh into two sub-meshes, we solve two smaller boundary value problems instead of one big problem, and we can process these two tasks almost entirely in parallel.</summary>\n <category scheme='http://arxiv.org/schemas/atom' term='math.NA'/>\n <published>2026-02-18T21:00:30Z</published>\n <arxiv:primary_category term='math.NA'/>\n <author>\n <name>Lenka Ptackova</name>\n </author>\n <author>\n <name>Michal Outrata</name>\n </author>\n </entry>"
}