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公开(公告)号:US11270503B2
公开(公告)日:2022-03-08
申请号:US17283206
申请日:2020-07-24
Applicant: DALIAN UNIVERSITY OF TECHNOLOGY
Inventor: Na Lei , Xiaopeng Zheng , Zhongxuan Luo
Abstract: The present invention discloses a method, device and computer readable storage medium (CRSM) for generating a volume foliation. The method comprises: constructing a pants decomposition graph on a smooth closed surface S of genus g>1, wherein the surface S has g handles, and the pants are a genus-zero triangular mesh surface with g boundaries; constructing an initial mapping f0:(T,g)→(Gr, h) from a tetrahedral mesh T to a graph Gr by a process of extending a topological disk Dk into a solid cylinder Ck; evolving the initial mapping into a generalized harmonic map by the nth iterative mapping; and obtaining a volume foliation of the tetrahedral mesh T from preimages of all nodes of a metric graph (Gr, h) and points on edges of the metric graph (Gr, h) under the generalized harmonic map f.