基于全局搜索算法的太阳影子定位研究

Orientation of Sun Shadow Based on Global Search Algorithm

目的为更好地解决已知某物体影长、测量的时间和日期的情况下确定物体的测量地点,或已知物体影长、测量日期及地点的情况下确定测量时间的问题,进而解决野外探险时地理位置的确定和根据某物体的视频或照片等影像资料而确定其拍摄地等实际问题。方法针对太阳影子定位,使用基于穷举法的全局搜索式算法、最小二乘法的参数估计法、比例消参法等方法,分别构建全局搜索网络模型、参数方程模型等模型,结合MATLAB软件进行算法的编写、图形的绘制、数据的拟合与预测等处理。结果结合第一组数据,所推算的测量地位于广西,结合第二组数据,所推算的测量地在蒙古国。结论利用全局搜索式算法及参数方程模型,结合MATLAB软件,可以解决太阳影长、直杆长度、测量地点、测量日期、测量时间等5个变量中知四求一、知三求二等问题。

Objective To work out where the measurement locates with the known length of the shadows and the date of survey or the date of survey with the known length of the shadows and where the measurement locates,thus ensuring the position with a known wild adventure and the measurement address according to a photo or video.Methods Aiming at the orientation of sun shadow,based on global search algorithm,the return model parameter estimation by ordinary least squares and maximum likelihood,and the bias elimination,the global search network model,and parameter equation model were establish.By using MATLAB,the algorithm writing,graphing,data fitting and predicting were conducted.Results Combing with the data of group 1,the result was Guangxi Province;as for the question 2,the answer Mongolia.Conclusion By using the parameter equation model,global search algorithm and MATLAB,the length of the shadow,the length of the pole,the measuring location,the data of survey and the time of survey can be worked out.