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Dual Surface Based Approach to Block Decomposition of Solid Models

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27th International Meshing Roundtable (IMR 2018)

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Abstract

A high quality block structure of the solid model can support many important applications. However, automated generation of high quality block structure is still a challenging problem. In this paper, a dual surface based approach to automated and valid block decomposition of solid models is proposed. First, an optimized frame field is constructed on background tetrahedral mesh and three kinds of degenerated singularities are corrected. Then, dual loops for block decomposition are generated with the help of the optimized frame field. After that, a required dual surfaces set, whose dual surfaces can suitably separate all boundary elements of solid model and singularities of frame field, is constructed based on dual loops by min cut algorithm. Finally, a valid block structure is obtained by performing dual operations along the dual surfaces on the hex mesh generated by splitting the tetrahedral mesh of the solid model. Experimental results show the effectiveness of the proposed approach.

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Acknowledgement

We thank all anonymous reviewers for their valuable comments. This research is supported by the NSF of China (Nos. 61572432).

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Correspondence to Shuming Gao .

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Zheng, Z., Wang, R., Gao, S., Liao, Y., Ding, M. (2019). Dual Surface Based Approach to Block Decomposition of Solid Models. In: Roca, X., Loseille, A. (eds) 27th International Meshing Roundtable. IMR 2018. Lecture Notes in Computational Science and Engineering, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-030-13992-6_9

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