Computational Conformal Geometry: A Review

  • Sabia Akter Bhuiyan Assistant Professor, Department of Computer Science and Engineering, Leading University, Sylhet
Keywords: Conformal Geometry, Ricci flow, Riemannian metric, Euclidean Ricci flow

Abstract

Conformal geometry is considered as a fundamental topic in pure mathematics including complex analysis, algebraic geometry, Riemann surface theory, differential geometry and algebraic topology. Computational conformal geometry has an important role in digital geometry processing. A good number of practical algorithms are presented to compute conformal mapping, which has been broadly applied in a lot of practical fields such as computer graphics, wireless sensor networks, medical imaging, visualization, and so on.  This work reviews some major concepts and theorems of conformal geometry , their computational methods and the applications for surface parameterization.

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Published
2022-10-16
How to Cite
Bhuiyan, S. A. (2022). Computational Conformal Geometry: A Review. GPH - International Journal of Mathematics, 5(10), 01-08. https://doi.org/10.5281/zenodo.7212920