Uniqueness of Transformation based on Jacobian Determinant and curl-Vector
Computational Geometry
2018-10-31 v2
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.
Keywords
Cite
@article{arxiv.1712.03443,
title = {Uniqueness of Transformation based on Jacobian Determinant and curl-Vector},
author = {Zicong Zhou and Xi Chen and Xian Xin Cai and Guojun Liao},
journal= {arXiv preprint arXiv:1712.03443},
year = {2018}
}
Comments
11 pages, 8 figures