Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique
Analysis of PDEs
2021-10-18 v4
Abstract
We prove that immersions of planar domains are uniquely specified by their Jacobian determinant, curl function, and boundary values. This settles the two-dimensional version of an outstanding conjecture related to a particular grid generation method in computer graphics.
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Cite
@article{arxiv.2107.13707,
title = {Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique},
author = {Anthony Gruber},
journal= {arXiv preprint arXiv:2107.13707},
year = {2021}
}
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6 pages