摘要
杨赤中插值法数学模型在解算权系数时存在负权现象,文中初步分析了负权的分布规律,增设非负约束条件,利用最大熵原理分析模型系统对空间权重系数的依赖度,研究消除格网DEM插值的负权问题。通过MATLAB编程验证算法的正确性、准确性,并与二次规划法进行比较。对比显示最大熵法解得权系数大小比例与点位关系相适应,且其估值精度优于二次规划法。
There is negative-weight in Yang Chizhong model,so the spread regular pattern of negativeweight is researched,and nonnegative constraint is set up.The principle of maximum entropy is utilized to analyze the model system which depends on modulus of space weight.The clearing up of negative-weight is studied for the interpolation of gridding DEM.The correctness and accuracy of the method are validated with matlab＇s programming,compared with the method of quadratic program.Comparison shows that the volume and scaling of maximum entropy＇s weight fit to the reration of space,and its accuracy is superior to the method of quadratic program.
出处
《测绘工程》
CSCD
2016年第7期33-35,共3页
Engineering of Surveying and Mapping
基金
国家自然科学基金资助项目(41161072)
广西自然科学基金资助项目(2011GXNSFA018001)
广西空间信息与测绘重点实验室资助课题(桂科能1207115-08)
关键词
杨赤中插值
负权
最大熵法
约束条件
Yang Chizhong interpolation
negative-weight
maximum entropy
constraint condition
