Given any > 0 and any planar region bounded by a simple n-gon P we construct a (1 + )-quasiconformal map between and the unit disk in time C()n. One can take C() = C + C log ...
This paper describes an approach of representing 3D shape by using a set of invariant Spherical Harmonic (SH) coefficients after conformal mapping. Specifically, a genus-zero 3D ...
We solve the problem of computing global conformal parameterizations for surfaces with nontrivial topologies. The parameterization is global in the sense that it preserves the con...
Although flattening a cortical surface necessarily introduces metric distortion due to the non-constant Gaussian curvature of the surface, the Riemann Mapping Theorem states that ...
Lili Ju, Josh Stern, Kelly Rehm, Kirt Schaper, Dav...
Surface parameterization is a fundamental tool in geometric modeling and processing. Most existing methods deal with simply connected disks. This work introduces a novel method to ...