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In this work, we present a technique to map any genus zero solid object ontoa hexahedral decomposition of a solid cube. This problem appears in manyapplications ranging from finite element methods to visual tracking. From this,one can then hopefully utilize the proposed technique for shape analysis,registration, as well as other related computer graphics tasks. Moreimportantly, given that we seek to establish a one-to-one correspondence of aninput volume to that of a solid cube, our algorithm can naturally generate aquality hexahedral mesh as an output. In addition, we constrain the mappingitself to be volume preserving allowing for the possibility of further meshsimplification. We demonstrate our method both qualitatively and quantitativelyon various 3D solid models

Volumetric Mapping of Genus Zero Objects via Mass Preservation