Fast Spherical Quasiconformal Parameterization of Genus-0 Closed Surfaces with Application to Adaptive Remeshing

Abstract

In this work, we are concerned with the spherical quasiconformal parameterization of genus-0 closed surfaces. Given a genus-0 closed triangulated surface and an arbitrary user-defined quasiconformal distortion, we propose a fast algorithm for computing a spherical parameterization of the surface that satisfies the prescribed distortion. The proposed algorithm can be effectively applied to adaptive surface remeshing for improving the visualization in computer graphics and animations. Experimental results are presented to illustrate the effectiveness of our algorithm.

References in corpus (3)

• TEMPO: Feature-Endowed Teichmüller Extremal Mappings of Point Clouds
• Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing
• A Linear Formulation for Disk Conformal Parameterization of Simply-Connected Open Surfaces

Cited by in corpus (10)

• Parallelizable global conformal parameterization of simply-connected surfaces via partial welding
• Free-boundary conformal parameterization of point clouds
• A unifying framework for $n$-dimensional quasi-conformal mappings
• Efficient conformal parameterization of multiply-connected surfaces using quasi-conformal theory
• Bijective Density-Equalizing Quasiconformal Map for Multiply-Connected Open Surfaces
• Adaptive area-preserving parameterization of open and closed anatomical surfaces
• Spherical Density-Equalizing Map for Genus-0 Closed Surfaces
• Shape analysis via inconsistent surface registration
• Volumetric density-equalizing reference map with applications
• Fast ellipsoidal conformal and quasi-conformal parameterization of genus-0 closed surfaces