By example synthesis of three-dimensional porous materials

Porous materials are ubiquitous in nature and are used for many applications. However, there is still a lack of computational methods for generating and modeling complex porous structures. While conventional texture synthesis methods succeed in synthesizing solid texture based on a 2D input, to generate a 3D structure that visually matches a given 3D exemplar remains an open question. We present the first framework that can synthesize porous material that is structurally consistent to input 3D exemplar. In our framework, the 2D texture optimization method is extended built upon 3D neighborhood. An adaptive weighted mechanism method is proposed to reduce blurring and accelerate the convergence speed. Moreover, a connectivity pruning algorithm is performed as post-processing to prune spurious branches. Experimental results demonstrate that our method can preserve both the structural continuity and material descriptors of input exemplar while maintain visual similarity with input structure.