Conformal surface parameterization for texture mapping

摘要

We give an explicit method for mapping any simply connectednsurface onto the sphere in a manner which preserves angles. Thisntechnique relies on certain conformal mappings from differentialngeometry. Our method provides a new way to automatically assign texturencoordinates to complex undulating surfaces. We demonstrate a finitenelement method that can be used to apply our mapping technique to antriangulated geometric description of a surface