Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique

Anthony Gruber

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arXiv · 2107.13707

Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique

Anthony Gruber

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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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Anthony Gruber. 2021-07-29. Planar Immersions with Prescribed Curl and Jacobian Determinant are Unique. https://arxiv.org/abs/2107.13707

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