B样条类曲线插补算法的曲线段间过渡问题研究  

Study on transition between sections of B-Spline curves used in direct interpolation algorithm

作　　者：陈玮[1] 魏胜利[1] 薛琴[1] 

机构地区：[1]广东工业大学自动化学院,广东广州510090

出　　处：《深圳信息职业技术学院学报》2007年第1期9-13,共5页Journal of Shenzhen Institute of Information Technology

基　　金：广东科委粤港关键领域重点突破项目(2004A104030219)

摘　　要：本文主要对基于B样条类曲线的直接插补算法的曲线段间过渡问题进行了研究和阐述。B样条曲线是有多段曲线拟合而成的,插补计算时段间的平滑过渡是十分重要的,尤其是当采用预估校正的方法来确定参数时更需要注意段间的过渡情况。本文首先叙述了预估校正确定参数的方法,接着着重讨论了基于B样条类曲线插补计算时的段间过渡问题。最后用程序实现了插补算法,并给出了程序的测试结果。This paper presents a study on transition between sections of B-Spline curves when used in direct interpolation algorithm. A whole B-Spline curve is composed of several sections, and the transition between these sections is very important in interpolation algorithm, particularly when the parameters of curves is decided by a so-called Pre-Estimation-Then-Emendation method. Firstly, this paper introduces the Pre-Estimation-Then- Emendation method. Then it gives a method to solve the problem of transition between sections of B-Spline curves. Finally, it gives the testing results of the method.

关 键 词：B样条类曲线 插补算法 段间过渡 

分 类 号：O18[理学—数学]