SUBDIVISION

作品数:133被引量:319H指数:7
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A polynomial resultant approach to algebraic constructions of extremal graphs
《Science China Mathematics》2025年第2期485-506,共22页Tao Zhang Zixiang Xu Gennian Ge 
supported by the Institute for Basic Science(IBS-R029-C4);supported by the National Key Research and Development Program of China(Grant No.2020YFA0712100);National Natural Science Foundation of China(Grant No.12231014);Beijing Scholars Program。
The Turán problem asks for the largest number of edges ex(n,H)in an n-vertex graph not containing a fixed forbidden subgraph H,which is one of the most important problems in extremal graph theory.However,the order of...
关键词:Turan number RESULTANT algebraic construction SUBDIVISION Berge theta hypergraph 
Tilings of the Sphere by Congruent Quadrilaterals I:Edge Combination a^(2)bc
《Chinese Annals of Mathematics,Series B》2024年第5期733-766,共34页Yixi LIAO Pinren QIAN Erxiao WANG Yingyun XU 
supported by the Key Projects of Zhejiang Natural Science Foundation(No.LZ22A010003);ZJNU Shuang-Long Distinguished Professorship Fund(No.YS304319159)。
Edge-to-edge tilings of the sphere by congruent a^(2)bc-quadrilaterals are classified as 3 classes:(1)A 1-parameter family of quadrilateral subdivisions of the octahedron with24 tiles,and a flip modification for one s...
关键词:Spherical tiling QUADRILATERAL Classification Earth map tiling SUBDIVISION 
SUBDIVISION建模在室内有机形态的应用研究
《设计》2024年第11期148-151,共4页谢华 龚鹏辉 
通过探索Subdivision建模技术在室内设计中的潜力,提高室内设计有机形态的吸引力和竞争力,并且有效提高设计师在有机形态设计中的效率。通过分析Subdivision建模原理,介绍其在室内运用的可能性、高效性、调节性、仿生性的特点。对其Subd...
关键词:Subdivision建模 有机拓扑形态 空间界面软化 泰森多边形 渐消面 
The Weighted Basis for PHT-Splines
《Computer Modeling in Engineering & Sciences》2024年第1期739-760,共22页Zhiguo Yong Hongmei Kang Falai Chen 
The work was supported by the NSF of China(No.11801393);the Natural Science Foundation of Jiangsu Province,China(No.BK20180831).
PHT-splines are defined as polynomial splines over hierarchical T-meshes with very efficient local refinement properties.The original PHT-spline basis functions constructed by the truncation mechanism have a decay phe...
关键词:PHT-splines partition of unity weighted bases PHT-splines SUBDIVISION 
Valorising Ikseon-dong’s Hanok residence as a heritage place
《Frontiers of Architectural Research》2023年第5期947-965,共19页Young-Jae Kim Ah-Ra-Mi Yun 
supported by the Ministry of Education of the Republic of Korea and the National Research Foundation of Korea(NRF-2021S1A5A8073054).
This study aims to create a basis for sustainable conservation by identifying the heritage value of 166 Ikseon-dong.Based on old land registers and cadastral maps of the 1920s and 1930s,it interpreted the construction...
关键词:ModernHanok residence Plot subdivision Ikseon-dong Construction background Heritage interpretation Sustainable conservation 
Digital Cofibration and Digital Lusternik-Schnirelmann Category in the Sense of Subdivision
《Chinese Annals of Mathematics,Series B》2023年第1期35-48,共14页Hongjie ZHANG Linan ZHONG Hao ZHAO 
supported by the National Natural Science Foundation of China (Nos. 12001474,12171165, 12261091);Guangdong Natural Science Foundation (No. 2021A1515010374)
In this paper, using the notion of subdivision, the authors generalize the definition of cofibration in digital topology and show that this kind of cofibration is injective in the sense of subdivision. Meanwhile, they...
关键词:Digital topology Digital cofibration Lusternik-Schnirelmann category 
Estimation of the effectiveness of multi-criteria decision analysis and machine learning approaches for agricultural land capability in Gangarampur Subdivision, Eastern India
《Artificial Intelligence in Geosciences》2022年第1期179-191,共13页Sunil Saha Prolay Mondal 
Land suitability analysis(LSA)is an evaluation method that measures the degree to which land is suitable for certain land use.The primary aims of this study are to identify potentially viable agricultural land in the ...
关键词:Analytic Hierarchy Process Fuzzy Complex Proportional Assessment Receiver Operating Characteristic Gangarampur subdivision Soil Capability 
Butterfly Diversity in Relation to Human-Impact Gradient in Out-skirts of Kolkata,West Bengal,India
《Research in Ecology》2022年第4期1-12,共12页Kaiyum Baskh Mollah Sudipta Mandal 
Anthropogenic activities may affect species diversity and community structure.Butterfly species diversity in relation to human-impact gradient was evaluated in the Baruipur subdivision,outskirts of Kolkata metropolis,...
关键词:Butterfly diversity Human-impact gradient Baruipur subdivision KOLKATA Diversity indices 
Constructing the Basis Path Set by Eliminating the Path Dependency
《Journal of Systems Science & Complexity》2022年第5期1944-1962,共19页ZHU Juanping MENG Qi CHEN Wei WANG Yue MA Zhiming 
supported by Project for Innovation Team(Cultivation)of Yunnan Province under Grant No.202005AE160006;Key Project of Yunnan Provincial Science and Technology Department and Yunnan University under Grant No.2018FY001014。
The newly appeared G-SGD algorithm can only heuristically find the basis path set in a simple neural network,so its generalization to a more practical network is hindered.From the perspective of graph theory,the Basis...
关键词:Basis path neural network path dependency path subdivision chain substructure path 
一类插值与逼近混合的曲线细分格式
《高等学校计算数学学报》2022年第3期216-229,共14页张迪 刘华勇 王曾珍 
安徽省高等学校自然科学研究项目(KJ2021A0630;KJ2021A0633;KJ2021A0634)资助;安徽建筑大学质量工程项目(2020jy22)资助;安徽省质量工程项目(2020kfkc163)资助
In this paper,a new combined approximating and interpolating fivepoint ternary subdivision scheme is presented,which can generate C~2 limiting curve.First,the combined subdivision rules are given.Then,using the Lauren...
关键词:ternary subdivision Laurent polynomial continuity and smoothness 
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