太阳影子定位技术研究

发布时间：2018-05-09 00:27

本文选题：最小二乘拟合法 + 太阳高度角　；参考：《河北北方学院学报(自然科学版)》2016年11期

【摘要】：目的针对太阳影子定位问题,建立一系列数学模型对视频中的数据进行研究,并通过太阳影子定位技术确定视频拍摄时间与地点。方法以一段时长30min拍摄时间与地点未知的直杆影长变化视频为研究对象,根据全国大学生数学建模网提供的数据,运用最小二乘拟合、构建方程组求解、画图分析以及图片灰度处理、锐化处理等方法,分别构建了影长变化模型、影子定位模型和影子定时模型等,并依据影子的坐标点,结合MATLAB、Excel等软件得出了影子长度的变化规律、目标物所在地的经纬度以及测量数据的时间。结果经画图分析得知2015年10月22日北京时间9∶00~15∶00之间天安门广场(北纬39度54分26秒,东经116度23分29秒)3m高直杆的太阳影子先随时间的推移而变短,在中午某一时刻达到最小值,后又随时间的变化而变长;在只知直杆在水平地面上的太阳影子顶点坐标的情况下,求得实例中直杆所在地点为(37.707 23°N,71.788 99°E),测量日期为11月10号;在只获取一段视频的情况下,经过对图片截取、灰度化以及锐化等处理读取出视频中直杆影子顶端坐标,并求得该视频的拍摄地点与时间分别为(40.16°N,122.70°E)、2015年7月26日。结论在视频中物体所投射的影子坐标可读取的情况下,运用合理的数学模型,可以通过太阳影子的变化对视频的拍摄时间及其地点进行精准的判断。
[Abstract]:Aim to solve the problem of solar shadow location, a series of mathematical models are established to study the video data, and the time and location of video shooting are determined by solar shadow location technology. Methods according to the data provided by the National College students' Mathematical Modeling Network, a series of video of the change of the length of a straight bar shot by 30min with unknown time and place was taken as the research object. The least square fitting was used to construct the equations to solve the equations. The shadow length change model, shadow location model and shadow timing model are constructed by drawing analysis, image grayscale processing, sharpening processing and so on. According to the coordinate points of shadow and MATLAB Excel software, the variation law of shadow length is obtained. The latitude and longitude of the location of the target and the time of measurement of the data. Results on October 22, 2015, after drawing analysis, we found that Tian鈥檃n Men Square (39 degrees 54 minutes 26 seconds north latitude, 116 degrees 23 minutes 29 seconds east longitude) and 3m straight pole, Beijing time on October 22, 2015, the sun shadow first became shorter with the passage of time. In the case of only knowing the coordinates of the solar shadow vertex on the horizontal ground, the location of the straight bar is found to be 37. 707 23 掳NV 71.788 9 掳E, and the measuring date is November 10, when the minimum value is reached at a certain time at noon and then becomes longer with the change of time. Under the condition that only one video is obtained, the top coordinates of the shadow of the straight bar in the video are obtained through the processing of intercepting, graying and sharpening the image, and the shooting place and time of the video are 40.16 掳N 122.70 掳E, July 26, 2015, respectively. Conclusion under the condition that the shadow coordinates cast by the objects in the video can be read, the shooting time and the location of the video can be accurately judged by the variation of the shadow of the sun by using a reasonable mathematical model.
【作者单位】：安徽财经大学统计与应用数学学院;
【基金】：国家自然科学基金项目(11301001) 安徽财经大学教研项目(acjyzd201429)
【分类号】：P128.1;TP391.41

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