Fast Polygonization and Texture Map Extraction from Volumetric Objects Based on Surface Fairing Using a Modified Discrete Laplacian Operator

This work proposes a new method for the polygonization and texture map extraction from volumetric objects based on a polyhedral surface extraction and surface fairing approach. The surface faring approach is based on a mesh signal processing technique that uses an approximation of an adaptive low-pass filtering based on a function that combines the discrete Laplacian operator and an adaptation of the Lanczos kernel. Differently from other works that propose surface fairing approaches we deal mainly with voxelized models created by artists for games which led us to design a filtering approach that smoothes strongly in high frequency regions to remove the jagging effects of the sampling and less intensively in the low frequency regions to preserve the natural behavior of the model. The overall aim of this work is to propose a simple methodology in which it is efficient and easy to use voxel manipulation techniques to produce a final boundary representation of the model together with the appearance function codified in a texture atlas. The proposed method produced very promising results and enabled us to extract smooth texturized models that preserve the features of the original volumetric object at interactive times.