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However, the high-quality and automatic fundamental sheets insertion is still a problem. In this paper, a method is proposed to automatically generate fundamental sheets with the support of stream surfaces. By establishing a constrained integer linear system, the types of fundamental sheets to be inserted are determined effectively and optimally. By constructing discrete stream surfaces associated with the relevant geometric entities, the optimized positions of fundamental sheets are automatically determined. The experimental results show that the proposed method can automatically insert high-quality fundamental sheets and effectively improve the elements\u2019 geometric quality of the hex mesh.<\/jats:p>","DOI":"10.1115\/1.4047239","type":"journal-article","created":{"date-parts":[[2020,5,21]],"date-time":"2020-05-21T18:20:29Z","timestamp":1590085229000},"update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":3,"title":["Stream Surface-Supported Fundamental Sheets Insertion Toward High-Quality Hex Meshing"],"prefix":"10.1115","volume":"20","author":[{"given":"Rui","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mechanical Engineering & Mechanics, Ningbo University, Ningbo 315211, China;"},{"name":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310058, China;"},{"name":"Institute of Advanced Energy Storage Technology and Equipment, Ningbo University, Ningbo 315211, China"}]},{"given":"Zhihao","family":"Zheng","sequence":"first","affiliation":[{"name":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310058, China"}]},{"given":"Shuming","family":"Gao","sequence":"first","affiliation":[{"name":"State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310058, China"}]}],"member":"33","published-online":{"date-parts":[[2020,6,12]]},"reference":[{"issue":"3","key":"2020061212292203400_CIT0001","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1007\/PL00013384","article-title":"Automated Conformal Hexahedral Meshing Constraints, Challenges and Opportunities","volume":"17","author":"Blacker","year":"2001","journal-title":"Eng. 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