Convexity-preserving method for morphing compatible planar triangulations
被引:0
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作者:
Song, Weijie
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机构:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, ChinaDepartment of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China
Song, Weijie
[1
]
Jiang, Dawei
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机构:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, ChinaDepartment of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China
Jiang, Dawei
[1
]
Hua, Huichun
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机构:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, ChinaDepartment of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China
Hua, Huichun
[1
]
Ao, Bo
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机构:
Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, ChinaDepartment of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China
Ao, Bo
[1
]
机构:
[1] Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi'an 710072, China
来源:
Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics
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2005年
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17卷
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06期
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摘要:
This paper presents a simple and effective method for morphing two given compatible planar triangulations with different convex boundaries. The method combines two existing algorithms and guarantees that the boundary polygons of the triangulations preserve convexity all the time during the morphing, and the intermediate triangulation at any time is compatible with the source and target triangulations, or in another word, free of self-intersection. At the same time this method realizes a convexity-preserving morph of the two convex polygons.
机构:
Liaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R China
Liaoning Normal Univ, Sch Comp & Informat Technol, Dalian 116029, Peoples R ChinaLiaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R China
Wang, Xianghai
Zhang, Wenya
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机构:
Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R ChinaLiaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R China
Zhang, Wenya
Li, Rui
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h-index: 0
机构:
Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R ChinaLiaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R China
Li, Rui
Song, Ruoxi
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h-index: 0
机构:
Liaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R ChinaLiaoning Normal Univ, Sch Geog, Dalian 116029, Peoples R China