2021
DOI: 10.48550/arxiv.2110.10437
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A unifying framework for $n$-dimensional quasi-conformal mappings

Daoping Zhang,
Gary P. T. Choi,
Jianping Zhang
et al.

Abstract: With the advancement of computer technology, there is a surge of interest in effective mapping methods for objects in higher-dimensional spaces. To establish a one-to-one correspondence between objects, higher-dimensional quasi-conformal theory can be utilized for ensuring the bijectivity of the mappings. In addition, it is often desirable for the mappings to satisfy certain prescribed geometric constraints and possess low distortion in conformality or volume. In this work, we develop a unifying framework for … Show more

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