基于最小二乘法的太阳影子定位技术研究
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摘要
针对现实生活里,根据照片或视频中太阳影子的变化规律确定拍摄地点和时间的问题。该文建立了影子长度随日期、时间、纬度、太阳时角,物体高度变化的数学模型;由物体影子顶点坐标,以实际测量影长和模型预测影长间误差最小为目标,运用控制变量法,最小二乘法,结合MATLAB曲线拟合选取初值,确定了物体可能的拍摄地点和日期;并将研究结果推广到视频数据分析领域,实现视频数据的定位分析。仿真实验表明该模型的建立合理,具有较高的精确性。
In real life, according to the changing rules of the sun shadow in photos or videos, the shooting location and time are deter-mined. In this paper, a mathematical model of shadow length varying with date, time, latitude, solar time angle and height of objectis established. Based on the coordinates of shadow vertex, the objective is to minimize the error between actual measured shadowlength and predicted shadow length by model, the initial value is selected by using control variable method, least square methodand MATLAB curve fitting. The possible shooting location and date of the object, and the research results are extended to the fieldof video data analysis to realize the location analysis of video data. The simulation results show that the model is reasonable and ac-curate.
In real life, according to the changing rules of the sun shadow in photos or videos, the shooting location and time are deter-mined. In this paper, a mathematical model of shadow length varying with date, time, latitude, solar time angle and height of objectis established. Based on the coordinates of shadow vertex, the objective is to minimize the error between actual measured shadowlength and predicted shadow length by model, the initial value is selected by using control variable method, least square methodand MATLAB curve fitting. The possible shooting location and date of the object, and the research results are extended to the fieldof video data analysis to realize the location analysis of video data. The simulation results show that the model is reasonable and ac-curate.
引文
[1]孙娓娓,王先超,牛向阳,周霞.基于太阳影子的视频定位研究[J].温州大学学报(自然科学版),2016,37(3):21-25.
[2]黄亚群,李星宇,任莹莹,等基于非线性规划的太阳影子定位技术研究[J].实验科学与技术,2018,16(02):9-14.
[3]黄鸿基,钱圳冰,冯帆,等.基于分治法的遍历搜索算法和粒子群算法的改进对太阳影子坐标的地理定位和事件确定的研究[J].中国市场,2017(18):199-200.
[4]荆晓原,王乔宇,白斌.基于几何方法对太阳影子的定位研究[J].课程教育研究,2017(36):243-244.
[5]朱林辉,王阳,蔡时雨,等.基于模拟退火算法的太阳影子快速定位方法[J].青岛理工大学学报,2017,38(02):114-123.
[6]房森森,李少华.一种太阳视运动轨迹建模方法及其应用[J].城市勘测,2015,2(1):109-112.
[7]刘燕红,姚宗露.基于数学模型的太阳影子定位问题研究[J].南阳师范学院学报,2016,15(12):26-29.
[8]高彩云,胡国荣.基于拟合与遍历的太阳影子定位研究[J].山西大同大学学报(自然科学版),2018,34(02):20-23.
[9]刘润茜,杨悦月,刘权.基于图像处理太阳影子定位技术的研究[J].佳木斯大学学报(自然科学版),2016,34(3):438-442.
[10]咸林,孙玉川,张思速,等.基于超定方程的太阳影子定位研究[J].科技展望,2017(22).
[11]祝长华,黄文莉,邱洪玲,等.基于穷举法的太阳影子定位研究[J].佛山科学技术学院学报(自然科学版),2016(6):22-30.
[12]卢鹏,张兴元,徐昌贵.太阳影子定位技术的数学原理及其应用[J].韶关学院学报,2017,38(09):15-18.
[2]黄亚群,李星宇,任莹莹,等基于非线性规划的太阳影子定位技术研究[J].实验科学与技术,2018,16(02):9-14.
[3]黄鸿基,钱圳冰,冯帆,等.基于分治法的遍历搜索算法和粒子群算法的改进对太阳影子坐标的地理定位和事件确定的研究[J].中国市场,2017(18):199-200.
[4]荆晓原,王乔宇,白斌.基于几何方法对太阳影子的定位研究[J].课程教育研究,2017(36):243-244.
[5]朱林辉,王阳,蔡时雨,等.基于模拟退火算法的太阳影子快速定位方法[J].青岛理工大学学报,2017,38(02):114-123.
[6]房森森,李少华.一种太阳视运动轨迹建模方法及其应用[J].城市勘测,2015,2(1):109-112.
[7]刘燕红,姚宗露.基于数学模型的太阳影子定位问题研究[J].南阳师范学院学报,2016,15(12):26-29.
[8]高彩云,胡国荣.基于拟合与遍历的太阳影子定位研究[J].山西大同大学学报(自然科学版),2018,34(02):20-23.
[9]刘润茜,杨悦月,刘权.基于图像处理太阳影子定位技术的研究[J].佳木斯大学学报(自然科学版),2016,34(3):438-442.
[10]咸林,孙玉川,张思速,等.基于超定方程的太阳影子定位研究[J].科技展望,2017(22).
[11]祝长华,黄文莉,邱洪玲,等.基于穷举法的太阳影子定位研究[J].佛山科学技术学院学报(自然科学版),2016(6):22-30.
[12]卢鹏,张兴元,徐昌贵.太阳影子定位技术的数学原理及其应用[J].韶关学院学报,2017,38(09):15-18.