| 基于线性变换的多项式模型 |
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| 引用本文： | 尹智,王解先,许才军.基于线性变换的多项式模型[J].大地测量与地球动力学,2011,31(5):91-96. |
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| 作者姓名： | 尹智 王解先 许才军 |
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| 作者单位： | 1. 武汉大学测绘学院,武汉,430079
2. 同济大学测量与国土信息工程系,上海,200092 |
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| 基金项目： | 国家自然科学基金(40874003) |
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| 摘 要： | 通过比较基于线性变换的多项式模型和传统纯量多项式模型的项数、模型参数、模型运算性质以及模型所能表示对象的集合,并进行算例分析发现,基于线性变换的多项式模型形式更加简洁,模型参数具有直观的几何意义和良好的运算性质,更适合表达多维高次对象,在工业测量领域的应用中更容易确定必要的拟合参数,整体上更具有优越性.
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| 关 键 词： | 线性变换 多项式模型 纯量多项式模型 仿射对象 正射对象 |
POLYNOMIAL MODEL BASED ON LINEAR TRANSFORMATION |
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| Yin Zhi,Wang Jiexian,Xu Caijun.POLYNOMIAL MODEL BASED ON LINEAR TRANSFORMATION[J].Journal of Geodesy and Geodynamics,2011,31(5):91-96. |
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| Authors: | Yin Zhi Wang Jiexian Xu Caijun |
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| Institution: | Yin Zhi1),Wang Jiexian2) and Xu Caijun1)1)School of Geodesy and Geomatics,Wuhan University,Wuhan 430079 2)Department of Surveying and Geo-informatics,Tongji University,Shanghai 200092 |
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| Abstract: | After summarizing the classification methods of polynomial model,the linear transformation from a unit circle to any ellipse or circle is studied,thus the polynomial model based on linear transformation is derived.By comparing the polynomial model based on linear transformation with the traditional scalar polynomial model on the number of items,the model parameters,calculation properties and the collection of objects that can be represented by model,as well as giving an analytical example about the plane ci... |
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| Keywords: | linear transformation polynomial model scalar polynomial model ortho object affine object |
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