| 椭圆边经线多圆锥投影 |
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| 引用本文： | 钟业勋,童新华,李占元.椭圆边经线多圆锥投影[J].测绘工程,2012,21(2):1-5,8. |
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| 作者姓名： | 钟业勋 童新华 李占元 |
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| 作者单位： | 1. 广西师范学院资源与环境科学学院,广西南宁530001;广西测绘局,广西南宁530023
2. 广西师范学院资源与环境科学学院,广西南宁,530001 |
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| 基金项目： | 广西自然科学基金资助项目 |
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| 摘 要： | 提出建立椭圆边经线多圆锥投影的原理和方法,给出经线方程、纬线方程,求得x、y关于φ的偏导数和关于λ的偏导数后,即求得高斯系数并推导包括沿经线和沿纬线长度比、面积比和最大角度变形等的变形公式。用一算例说明椭圆边经线多圆锥投影的设计步骤和方法。
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| 关 键 词： | 多圆锥投影 椭圆边经线 经线方程 纬线方程 高斯系数 坐标 变形 |
Polyconic projection with ellipse as edge meridian |
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| ZHONG Ye-xun
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TONG Xin-hua
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LI Zhan-yuan.Polyconic projection with ellipse as edge meridian[J].Engineering of Surveying and Mapping,2012,21(2):1-5,8. |
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| Authors: | ZHONG Ye-xun TONG Xin-hua LI Zhan-yuan |
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| Institution: | 1,2(1.School of Resource and Environment Science,Guangxi Teachers’ College,Nanning 530001,China;2.Guangxi Regional Bureau of Surveying and Mapping,Nanning 530023,China) |
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| Abstract: | The authors put forward the elements and method which construct polycnic projection with ellipse as edge meridian,gave the meridian equation and parallel equation.After the partial derivative of x,y about and about have been asked at once the Gauss coefficients and inquire into the distortion formula include the proportion of length of along meridian and along parallel,prorortion of area and maximum angular distortion,etc.A computational example shows the design step and method for the polyconic projection with ellipse as edge meridian. |
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| Keywords: | polyconic projection with ellipse as edge meridian meridian equation parallel equation Gauss coefficients coordiante distortion |
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