Geometry Image with Higher Compressibility

Geometry image is an important representation for geometry models. High compressibility will be beneficial for preserving more graphics information when geometry images are compressed. In this paper, we propose a mesh parameterization method aiming to increasing the compressibility of geometry images that generated from open meshes. Firstly, we design a compressibility aware energy of the mesh by studying the relationship between the one-ring neighbors of the mesh vertex and the pixel neighbors of the image point. Secondly, we solve the parameterization problem by minimizing the energy defined as a weighted sum of a compressibility aware term and a conformal term. As a result, a geometry image with high image compressibility can be constructed by uniformly resampling the parameterized mesh in its parameter domain. Experimental results illustrate that the proposed method always achieves better local linear correlation and lower reconstruction error for different sampling resolutions of geometry images.