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基于采样数据线性变换的曲线变形方法
引用本文:何振华.基于采样数据线性变换的曲线变形方法[J].计算机时代,2014(10):51-53.
作者姓名:何振华
作者单位:杭州科技职业技术学院信息工程学院,浙江 杭州,311402
基金项目:杭州科技职业技术学院2013年度校级科研课题
摘    要:基于采样数据的线性变换,提出了一种曲线变形的思想;设计一种以Lagrange插值为基础的曲线变形算法,并进行算法复杂度分析。该方法能实现代数曲线间的变形处理,具有普遍的适用性和较高的计算精度。通过给出数值实例,验证了算法的有效性和可行性,该算法提供了曲线变形的一种有效途径。

关 键 词:采样数据  线性变换  曲线变形  Lagrange插值  算法

Curve deformation based on linear transformation of sampling data
He Zhenhua.Curve deformation based on linear transformation of sampling data[J].Computer Era,2014(10):51-53.
Authors:He Zhenhua
Affiliation:He Zhenhua (School of Information, Hangzhou Science & Technology Vocational Technical College, Hangzhou, Zhejiang 311402, China)
Abstract:The solution to the problem of curve deformation by the linear transformation of sampling data is put forward. The algorithm based on the Lagrange interpolation is designed. The complexity of the algorithm is discussed. The deformation method is researched in details. The result can be used to carry out the deformation of algebraic curves. The feasibility and validity of the algorithm is demonstrated by numerical experiment. The practice has proved that it provided an efficient approach to the problem of curve deformation.
Keywords:sampling data  linear transformation  curve deformation  lagrange interpolation  algorithm
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