计算机技术与发展2017，Vol.27Issue(2)：110-115,6.DOI:10.3969/j.issn.1673-629X.2017.02.025
S24(R3,△*3)的局部支集样条函数的构造方法
Construction of Locally Supported S24(R3 ,△*3) Spline Function
摘要
Abstract
In the field of computation geometry,for fitting,approximation,reconstruction,Box spline has showed its important application advantages and it is a kind of widely used interpolation function.But in the fitting algorithm,a large amount of workload is to calculate the Box spline.Therefore,the method of improving the fitting speed of Box spline is to reduce the calculation of it.The purpose of the research is to construct the polynomial form of the Box spline function,and improve the efficiency of the algorithm.By 3-partition in the three-dimensional space,the integration method and the symmetry and rotation of Box spline are used firstly to analyze its explicit form.And then the Box spline in polynomial form is constructed in the type-3 partition.Finally,the piecewise polynomial form of Box spline function is realized.Besides,the specific procedure is given.In addition,by using the support function,quasi-interpolation operators and reconstruction algorithm are constructed.Through the numerical experiments,the expected results are obtained in the efficiency of titting algorithm.关键词
支撑函数/剖分/积分/胞腔/分段多项式Key words
support function/partition/integration/cell/piecewise polynomial分类
信息技术与安全科学引用本文复制引用
路游,张丽娜,汪春晓..S24(R3,△*3)的局部支集样条函数的构造方法[J].计算机技术与发展,2017,27(2):110-115,6.基金项目
国家自然科学基金资助项目(60873093) （60873093）
