Joint optimization of distortion and cut location for mesh parameterization using an Ambrosio-Tortorelli functional

DOI10.1016/j.cagd.2023.102231OpenAlexW4382130636MaRDI QIDQ6178763

Jacques-Olivier Lachaud, David Coeurjolly, Colin Weill-Duflos, Fernando de Goes

Publication date: 5 September 2023

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2023.102231

zbMATH Keywords

variational modelmesh parameterizationAmbrosio-Tortorelli functionaljoint distortion and cutUV mapping

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx)

Cites Work

• Bijective parameterization with free boundaries
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• How to Draw a Graph
• Mesh Parameterization Methods and Their Applications