📄 坐标转换问题.htm
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<p class=MsoNormal><b><span style='font-size:12.0pt;font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>坐标转换问题</span></b><b><span
lang=EN-US style='font-size:12.0pt'><o:p></o:p></span></b></p>
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<p class=MsoNormal style='text-indent:21.0pt'><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>坐标转换问题的详细了解对于测量很重要,那么请和我一起来讨论这个问题。</span></p>
<p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>首先,我们要弄清楚几种坐标表示方法。大致有三种坐标表示方法:经纬度和高程,空间直角坐标,平面坐标和高程。</span></p>
<p class=MsoNormal><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>我们通常说的</span><span lang=EN-US>WGS-84</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>坐标是经纬度和高程这一种,北京</span><span lang=EN-US>54</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>坐标是平面坐标和<span class=GramE>高程着</span>一种。</span><span
lang=EN-US><span style='mso-tab-count:1'> </span></span></p>
<p class=MsoNormal style='text-indent:21.0pt'><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>现在,再搞清楚转换的严密性问题,在同一个椭球里的转换都是严密的,而在不同的椭球之间的转换<span
class=GramE>这时不</span>严密的。举个例子,在</span><span lang=EN-US>WGS-84</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>坐标和北京</span><span lang=EN-US>54</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>坐标之间是不存在一套转换参数可以全国通用的,在每个地方会不一样,因为它们是两个不同的椭球基准。</span></p>
<p class=MsoNormal style='text-indent:21.0pt'><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>那么,两个椭球间的坐标转换应该是怎样的呢?一般而言比较严密的是用七参数法,即</span><span
lang=EN-US>X</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>平移,</span><span lang=EN-US>Y</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>平移,</span><span lang=EN-US>Z</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>平移,</span><span
lang=EN-US>X</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>旋转,</span><span lang=EN-US>Y</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>旋转,</span><span lang=EN-US>Z</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>旋转,尺度变化</span><span
lang=EN-US>K</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>。要求得七参数就需要在一个地区需要</span><span
lang=EN-US>3</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>个以上的已知点,如果区域范围不大,<span class=GramE>最远点间的</span>距离不大于</span><span
lang=EN-US>30Km(</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>经验值</span><span lang=EN-US>)</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>,这可以用三参数,即</span><span lang=EN-US>X</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>平移,</span><span lang=EN-US>Y</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>平移,</span><span
lang=EN-US>Z</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>平移,而将</span><span lang=EN-US>X</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>旋转,</span><span lang=EN-US>Y</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>旋转,</span><span
lang=EN-US>Z</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>旋转,尺度变化</span><span lang=EN-US>K</span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
"Times New Roman"'>视为</span><span lang=EN-US>0</span><span style='font-family:
宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>,所以三参数只是七参数的一种特例。在本软件中提供了计算三参数、七参数的功能。</span></p>
<p class=MsoNormal style='text-indent:21.0pt'><span style='font-family:宋体;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Roman"'>在一个椭球的不同坐标系中转换需要用到四参数转换,举个例子,在深圳既有北京</span><span
lang=EN-US>54</span><span style='font-family:宋体;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>坐标又有深圳坐标,在这两种坐标之间转换就用到四参数,计算四参数需要两个已知点。本软件提供计算四参数的功能。</span></p>
<p class=MsoNormal><span lang=EN-US><span style='mso-tab-count:1'> </span></span><span
style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
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style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
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style='font-family:宋体;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:
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