勘探线剖面三维坐标与剖面图二维坐标转换计算方法

勘探线剖面三维坐标与剖面图二维坐标转换计算方法

李蒙文¹，赵财胜¹，郑榕芬²，陈莉²

1.中国地质科学院矿产资源研究所,北京 100037；2.中国地质大学地球科学与资源学院,北京 100083

收稿日期:2005-07-14 修回日期:1900-01-01 出版日期:2005-11-26 发布日期:2005-11-26
通讯作者: 李蒙文

A Study on Transformation Method Between the 3D Coordinates of a Geological Prospecting Line Section and the 2D Coordinates of the Line Section Drawing

LI Meng-wen¹, ZHAO Cai-sheng¹, ZHENG Rong-fen², CHEN Li²

1.Institute of Mineral Resources, Chinese Academy of Geological Sciences, Beijing 100037, China;2. Faculty of Geosciences and Resources, China University of Geosciences, Beijing 100083, China

Received:2005-07-14 Revised:1900-01-01 Online:2005-11-26 Published:2005-11-26
Contact: LI Meng-wen

摘要/Abstract

摘要： 探讨了地质勘探线剖面三维坐标与剖面图二维坐标相互转换方法及其实现过程，建立了数学模型，并通过计算实例进行了验证。主要作法是，根据剖面图的特性选择勘探线剖面地表迹线与勘探基线所在垂直面的交点为转换计算基准点(B)，以勘探线剖面内过基准点(B)的水平直线(L)为旋转轴，将勘探线剖面旋转至水平位置；再以基准点(B)为旋转点，将勘探线剖面在水平面内旋转至水平直线(L)成东西向，建立剖面内空间要素旋转前后的关系式，实现三维坐标向二维坐标转换。按相反的操作过程，已知转换后剖面图上点的二维坐标，可以计算出剖面上对应点的三维空间坐标，实现二维坐标向三维坐标转换。

关键词: 地质勘探线剖面图, 三维坐标, 二维坐标

Abstract: The authors mainly discuss the coordinates transformation technique with which the 3D coordinates in the section of a geological prospecting line and the 2D coordinates in the sectional drawing of the line can be converted reciprocally. A mathematical model of the transformation is given and it is validated through the calculation of real examples. Based on the attributes of the sectional drawing, the intersection point between surface trace of the selected prospecting line section and the vertical plane where the prospecting baseline is located is taken as the reference point (B). The line section is then rotated to the horizontal plane upon the horizontal line (L) which crosses the reference point (B). Upon the reference point(B) the prospecting line section in the horizontal plane is rotated till the horizontal line (L) is in eastwest direction. An expression describing the spatial elements prior and after the rotation is established, with which the 3D coordinates can be transformed into the 2D coordinates. The reverse process from 2D to 3D can also be realized when the 2D coordinates of the transformed sectional drawing of geological prospecting line are given.

Key words: the sectional drawing of geological prospecting line, 3D coordinates, 2D coordinates

中图分类号:

P623

李蒙文，赵财胜，郑榕芬，陈莉. 勘探线剖面三维坐标与剖面图二维坐标转换计算方法[J]. J4, 2005, 35(06): 818-0822.

LI Meng-wen, ZHAO Cai-sheng, ZHENG Rong-fen, CHEN Li. A Study on Transformation Method Between the 3D Coordinates of a Geological Prospecting Line Section and the 2D Coordinates of the Line Section Drawing[J]. J4, 2005, 35(06): 818-0822.

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