基于回归分析视频中太阳影子时空定位的研究  

The Research on the Temporal and Spatial Location of the Sun Shadow Based on the Regression Analysis

作　　者：邓蕾[1] 王辉[1] 李探[1] 杨鹏辉[1] 

机构地区：[1]安徽财经大学统计与应用数学学院,安徽蚌埠233030

出　　处：《佳木斯大学学报（自然科学版）》2016年第4期674-676,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金(11301001);安徽财经大学教研项目(acjyzd201429)

摘　　要：针对阳光下物体影子变化的过程,分析时序数据确立特定物体所在地。运用三角函数关系与太阳高度角决定公式确立影长决定公式,最小二乘法确立影长变化函数,日期时间已知时使用正午太阳高度角与逆推影长决定公式得特定物体所在地的经度和纬度,仅时间已知使引入半昼长计算公式与简便正午太阳高度角计算公式联立,得到经纬度推算出日期,最后处理视频得到影长变化数据再计算如前,通过视频中特定物体影长的变化确立视频拍摄日期与地点。According to the process of moving shadow of one object with the sun, this paper analyzed the time series data to establish the location of a specific object, used trigonometric function relationship and the solar zenith angle to establish the lengths of shadow and used the least square method to determine the function of the changing with the lengths of shadow. With the date and time fixed, use the shortest length of shadow and inversing the function of the changing lengths of shadow to calculate the longitude and the latitude of the specific object. Then fixing the time, introduce the calculation formula of half of the length of the day and the simple cal- culation formula of the shortest length of shadow to calculate the longitude and the latitude, then calculate the date. Last handle the video to get the data of the changing lengths of shadow, and calculate the data as before to calculate the data and location.

关 键 词：太阳影子时空定位 太阳赤纬 太阳高度角 多元线性回归 MATLAB 

分 类 号：O185.1[理学—数学]