Spherical parametrization and remeshing

original spherical parametrization octahedral parametrization geometry image (lit) remeshed geometry Figure 1: Demonstration of spherical parametrization and subsequent resampling into a geometry image. Recently, Gu et al. [2002] introduced geometry images, in which geometry is resampled into a completely regular 2D grid. The process involves cutting the surface into a disk using a network of cut paths, and then mapping the boundary of this disk to a square. Both geometry and other signals are stored as 2D grids, with grid samples in implicit correspondence, obviating the need to store a parametrization. Also, the boundary pa-rametrization makes both geometry and textures seamless. The traditional approach for parametrizing a surface involves cutting it into charts and mapping these piecewise onto a plana