| 浅谈空间直角坐标系非线性坐标转换 |
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| 引用本文： | 周兴华,赵吉先.浅谈空间直角坐标系非线性坐标转换[J].水利科技与经济,2005,11(4):210-212,224. |
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| 作者姓名： | 周兴华 赵吉先 |
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| 作者单位： | 东华理工学院,测量工程系,江西,抚州,344000 |
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| 摘 要： | 通过线性坐标转换,在转换参数较大时产生的弊端,从而引出了非线性坐标转换模型。并且,从公式的推导中可得到非线性转换中顾及了二次项及交叉项的直接解法以及转换参数的计算方法,最后通过算例证明了在参数较大时,线性坐标转换中存在较大误差,说明了非线性坐标转换模型的有效性和实用性。
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| 关 键 词： | 线性模型 非线性模型 坐标转换 最小二乘法 |
| 文章编号： | 1006-7175（2005）04-0210-03 |
| 收稿时间： | 2004-12-28 |
| 修稿时间： | 2004年12月28 |
Study on non- linear coordination conversion of space right angle coordination system |
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| ZHOU Xing-hua,ZHAO Ji-xian.Study on non- linear coordination conversion of space right angle coordination system[J].Water Conservancy Science and Technology and Economy,2005,11(4):210-212,224. |
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| Authors: | ZHOU Xing-hua ZHAO Ji-xian |
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| Abstract: | This text educe the non-linear coordinate conversion through the drawback produced while the bigger conversion parameter and it can get directly calculation method of nonlinear coordination conversion model and in consideration of both the second-order and the intersection-order terms from the deriving formula. Finally through the example find that the linear coordinate have heavy error in the coordination conversion when the parameter is bigger, proved that the non-linear coordination conversion mode the validity and practicability at the same time. |
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| Keywords: | linear model non-linear model coordination conversion least square method |
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