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Sun shadow localization based on affine invariants

摘要


By studying the laws of earth revolution and rotation, this paper establishes the shadow model of the earth object in the sunlight, and obtains the variation law of the shadow of the erect long pole. Based on this law, this paper establishes a corresponding inversion model, which obtains the location, date and length data of video or image shooting based on data inversion through the change of shadow of the erect long rod in video or image. Firstly, based on Kepler's third law, the geocentric position coordinates at any time are obtained by studying the earth's revolution, and the translation vector of the local coordinate system to the global coordinate system is obtained. Then, the local coordinate system is obtained by the rotation angle of the earth and the ecliptic angle. The rotation matrix to the global coordinate system. Thus, the global coordinates of the sole, the top of the pole and the center of the earth at any time are obtained. Then, the straight line equation connecting the top of the pole with the sun and the tangent plane equation of the bottom of the pole obtain the projection point of the rod. Finally, the distance formula is obtained by the distance formula between the two points, and the length variation curve of the shadow is obtained.

參考文獻


Jiang Qiyuan, Xie Jinxing. Mathematical Model Third Edition. Higher Education Press, (2003)
Su Jinming, Yan Shenyong, Wang Yongli, MATLAB Engineering Mathematics, Publishing House of Electronics Industry, (2005)
Information on:http://wenku.baidu.com/link?url=ahBCO04XSHzbK2ZBBmRAsp4FEaUL0S9Q5_3rs34gNb4f4U-X0L18YxuLGMIogCcaExiWOF-O18HhfeodfkaHV0-HfkCIFJag7jjQd7pW
Information on: http:// wenku.baidu.com/link?url=7d4SdPn276liKqgkFjTC_ILNBwoZvtUSCx8-fmb6 ds O-Dk7CP_umbExhVz4NzHJI_ob-LV236x1AisN2f36Gtc2s6bWsEHpgVMUHZ-scqKm&qq-pf-to= pcqq.c2c
Xu Shejiao, coordinate transformation between two coordinate systems in three-dimensional graphics system, Journal of Xidian University, (1996)

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