An Adaptive 2D Planar Projection and Its Application in Geoscience Studies  

作　　者：Yong Zheng Bikai Jin Xiong Xiong Sidao Ni 

机构地区：[1]State Key Laboratory of Geodesy and Earth's Dynamics, Institute of Geodesy and Geophysics,Chinese Academy of Sciences

出　　处：《Journal of Earth Science》2015年第5期724-728,共5页地球科学学刊（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 41174086, 41074052, 40974034, and 41021003)

摘　　要：A linear projection approach is developed to present geoscience research result in planar coordinate system projected from spherical coordinate system. Here, the sphere is intersected by a plane and its surface is projected onto the plane. In order to keep the projected coordinate system orthogonal, and minimize the distortion, one axis of the planar coordinate system is chosen in our projection based on the shape of the region to be projected, and the other axes can be chosen arbitrarily or based on the constraint of the orthogonality. In the new method the projection is self-contained. The forward projection can be fully projected backward without loss of precision. The central area of the sphere will be projected to the planar system without distortion, and the latitudinal length in the rotated spherical system keeps constant during the projecting process. Only the longitudinal length in the rotated spherical system changes with the rotated latitude. The distortion of the projection therefore, overall, is small and suitable for geoscience studies.A linear projection approach is developed to present geoscience research result in planar coordinate system projected from spherical coordinate system. Here, the sphere is intersected by a plane and its surface is projected onto the plane. In order to keep the projected coordinate system orthogonal, and minimize the distortion, one axis of the planar coordinate system is chosen in our projection based on the shape of the region to be projected, and the other axes can be chosen arbitrarily or based on the constraint of the orthogonality. In the new method the projection is self-contained. The forward projection can be fully projected backward without loss of precision. The central area of the sphere will be projected to the planar system without distortion, and the latitudinal length in the rotated spherical system keeps constant during the projecting process. Only the longitudinal length in the rotated spherical system changes with the rotated latitude. The distortion of the projection therefore, overall, is small and suitable for geoscience studies.

关 键 词：adaptive 2D projection LINEAR PLANAR GEOSCIENCE 

分 类 号：P623[天文地球—地质矿产勘探]