| 多变量问题等值线形成的数学方法及物理意义 |
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| 引用本文： | 谭建荣,皮明智.多变量问题等值线形成的数学方法及物理意义[J].工程图学学报,1992(1):62-66. |
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| 作者姓名： | 谭建荣 皮明智 |
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| 作者单位： | 浙江大学
(谭建荣，彭群生)，华中理工大学(皮明智) |
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| 摘 要： | 本文应用广义逆解法,将多变量散乱数据曲面(超曲面)拟合,把拟合后的曲面(超曲面)作为多变量问题等值线形成的数学模型,从而把超曲面、等值面、等值线这些几何概念,与等值线形成的物理意义结合起来,使人们能够从离散数据中揭示出所蕴含的物理规律。
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| 关 键 词： | 多变量 超曲面 离散数据 工程数学 |
MATHEMATICAL METHOD AND PHYSICAL BACKGROUND FOR ISOGRAMS OF MULTIVARIATE PROBLEMS |
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| Tan Jianrong,Peng Qunsheng Zhejiang University
Pi Mingzhi Huazhong University of Science and Technology.MATHEMATICAL METHOD AND PHYSICAL BACKGROUND FOR ISOGRAMS OF MULTIVARIATE PROBLEMS[J].Journal of Engineering Graphics,1992(1):62-66. |
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| Authors: | Tan Jianrong Peng Qunsheng Zhejiang University
Pi Mingzhi Huazhong University of Science and Technology |
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| Affiliation: | Tan Jianrong;Peng Qunsheng Zhejiang University
Pi Mingzhi Huazhong University of Science and Technology |
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| Abstract: | Employing the generalized inversesoloing algorithm and fitting multivariable surfaces(hypersurface)to scattered data.A mathematical model for generating isograms is obtained.Thus,the geometrical concepts of hypersurfaces,contour planes,isograms etc.are connec-ted with the physical process of generating isograms,and it becomes feasible to reveal theimplicit physical law from scattered data. |
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| Keywords: | scattered data multivariable hypersurfaces isogram generalized-inversesolving method |
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