3D Fabrication with Universal Building Blocks and Pyramidal Shells

Xuelin Chen1 , Honghua Li2 , Chi-Wing Fu3 , Hao(Richard) Zhang4 , Daniel Cohen-Or5 , Baoquan Chen1,6
1Shandong University, 2Alibaba AI Labs, 3The Chinese University of Hong Kong, 4Simon Fraser University, 5Tel Aviv University, 6Peking University
(SIGGRAPH Asia 2018)
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Figure 1: We introduce a method for cost-efficient 3D fabrication by decomposing a 3D shape into (i) an internal core, to be assembled from universalbuilding blocks, and (ii) the residual, to be further decomposed into approximately pyramidal shells for efficient 3D printing. From left to right, thefour types of blocks, internal cores assembled from the blocks, 3D-printed pyramidal shells forming the residual, and the final object assembly. Thetwo 3D objects clearly have very different shapes, yet their internal cores can be assembled from exactly the same set of universal building blocks.

Abstract: We introduce a computational solution for cost-efficient 3D fabrication usinguniversal building blocks. Our key idea is to employ a set of universal blocks, which can be massively prefabricated at a low cost, to quickly assem-ble and constitute a significant internal core of the target object, so that only the residual volume need to be 3D printed online. We further improve the fab-rication efficiency by decomposing the residual volume into a small numberof printing-friendly pyramidal pieces. Computationally, we face acoupled de-composition problem: decomposing the input object into an internal core and residual, and decomposing the residual, to fulfill a combination of objectives for efficient 3D fabrication. To this end, we formulate an optimization that jointly minimizes the residual volume, the number of pyramidal residual pieces, and the amount of support waste when printing the residual pieces.To solve the optimization in a tractable manner, we start with a maximal internal core and iteratively refine it with local cuts to minimize the cost function. Moreover, to efficiently explore the large search space, we resort to cost estimates aided by pre-computation and avoid the need to explicitly construct pyramidal decompositions for each solution candidate. Result sshow that our method can iteratively reduce the estimated printing time and cost, as well as the support waste, and helps to save hours of fabrication time and much material consumption.

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