A Class of Spline Curves with Four Local Shape Parameters  

作　　者：Yuan-peng ZHU Xu-li HAN 

机构地区：[1]School of Mathematics, South China University of Technology [2]School of Mathematics and Statistics, Central South University

出　　处：《Acta Mathematicae Applicatae Sinica》2017年第4期979-988,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10871208,No.60970097);Graduate Students Scientific Research Innovation Project of Hunan Province(No.CX2012B111);the Postdoctoral Science Foundation of China(No.2015M571931);the Fundamental Research Funds for the Central Universities(No.2017MS121)

摘　　要：A class of spline curves with four local shape parameters, which includes the quartic spline curves with three local shape parameters given in Han [Xuli Han. A class of general quartic spline curves with shape parameters. Comput. Aided Geom. Design, 28：151-163 （2011）], is proposed. Without solving a linear system, the spline curves can be used to interpolate sets of points with C2 continuity partly or entirely. The shape parameters have a predictable adjusting role on the sp[ine curves.A class of spline curves with four local shape parameters, which includes the quartic spline curves with three local shape parameters given in Han [Xuli Han. A class of general quartic spline curves with shape parameters. Comput. Aided Geom. Design, 28：151-163 （2011）], is proposed. Without solving a linear system, the spline curves can be used to interpolate sets of points with C2 continuity partly or entirely. The shape parameters have a predictable adjusting role on the sp[ine curves.

关 键 词：B-spline curve quartic spline curve interpolation curve shape control shape parameter 

分 类 号：O186.11[理学—数学]