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arXiv · 1712.03443

Uniqueness of Transformation based on Jacobian Determinant and curl-Vector

Zicong Zhou·Xi Chen·Xian Xin Cai·Guojun Liao
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Abstract

Numerical examples demonstrated that a prescribed positive Jacobian determinant alone can not uniquely determine a diffeomorphism. It is conjectured that the uniqueness of a transformation can be assured by its Jacobian determinant and the curl-vector. In this work, we study the uniqueness problem analytically and propose an approach to the proof of the uniqueness of a transformation with prescribed Jacobian determinant and curl-vector.

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Zicong Zhou, Xi Chen, Xian Xin Cai, Guojun Liao. 2017-12-09. Uniqueness of Transformation based on Jacobian Determinant and curl-Vector. https://arxiv.org/abs/1712.03443

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