@article{Gu2010FundamentalsOC,
title={Fundamentals of Computational Conformal Geometry},
author={Xianfeng Gu and Feng Luo and Shing-Tung Yau},
journal={Mathematics in Computer Science},
year={2010},
volume={4},
pages={389-429}
}

Computational conformal geometry is an inter-disciplinary field between mathematics and computer science. This work introduces the fundamentals of computational conformal geometry, including theoretic foundation, computational algorithms, and engineering applications. Two computational methodologies are emphasized, one is the holomorphic differentials based on Riemann surface theory and the other is surface Ricci flow from geometric analysis.