Computational Conformal Geometry: A Review
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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