Texture Integrationvia Discrete Optimal Mass Transportation

Abstract

<p indent="0mm">Powered by modeling and scanning technology, the fineness of 3D models and the data size is increasing rapidly. To solve the problem of texture fragmentation and low texture space utilization, a texture integration approach based on optimal mass transportation is presented. Given a textured model, first the shape preserved parameterization is computed, then the discrete optimal mass transportation is used to adjust the shape preserved parameterization, obtaining the measure preserved parameterization. Finally, this parameterization and the initial parameterization are used to remap the original texture, integrating the small textures into a big texture. In the experiments, proposed approach is compared with other approaches in terms of texture space utilization, sampling rate, and peak signal to noise ratio of the rendering image on different types and complexity of scanned models on Sketchfab. The experimental results show that the texture space utilization can always be 100% and the sampling rate is uniformly distributed. Besides, the peak signal to noise ratio is comparable to other approaches, which are all above <sc>35 dB.</sc>