文档介绍：江南大学
毕业设计论文
论文题目:参数曲线的快速生成算法
姓名:
学院:信息工程学院
专业:计算机科学与技术
指导老师:
日期:2003年6月
摘要
本毕业设计主要研究参数曲线的直接快速生成,要直接生成参数曲线就需对参数方程{x=f(t),y=g(t),(0t1)}的参数t每次增加一个步长,然后计算该点的x和y坐标值并绘制该点。要逐点地生成参数曲线,就要求参数t每次增加的步长要使曲线前进的幅度不得超过一个象素长度,否则有可能跨过一个中间象素而产生断点。
为了提高曲线生成算法的速度,本毕业设计针对如何选择最佳的步长进行比较讨论,以使曲线前进的幅度在不超过一个象素的前提下,选择尽量大的步长。为了进一步提高算法的速度,在前面讨论的最佳步长的基础上又采用了双步逐点曲线生成算法,即将上述得到的步长增加一倍,以使算法的循环次数减少一半。由于步长增加一倍,这样当曲线前进一步时,其幅度有时会大于一个象素的长度,这时我们通过插值的方法来确定跨过的那个中间象素。
通过上述讨论的算法能够比较快速的逐点生成曲线,为了实现上述算法,本毕业设计使用Visual C++、普通参数曲线{x=f(t)=X3t3+X2t2+X1t+X0, y=g(t)=Y3t3+Y2t2+Y1t+Y0},以及导师所给的一个特殊的曲线方程为例编程实现上述算法。
关键词:参数曲线,逐点,双步,Visual C++6. 0

作者:
二零零三年六月
Abstract
This graduation project main reseach the direct born of the parameter curve {x=f(t),y=g(t),0<= t <=1,} direct born of the parameter curve it need to increase the parameter ‘t’ a step length each time,then caculate this point’s coordinates value of x and y and draw this drawing the parameter curve by point to point it orde to the parameter t’s step length of increased make the progress range of the curve can not large than the length of one pels, otherwise the curve may step over one middle pels and skip one point that it should be on the curve.
For speeding up the arithmetic of the drawing of the curve, this graduation project have discussed the choice of the best step length, so as to choose the biggst step length on the premise that the progress range is not large than one ples. To speeding up the arithmetic more, before the base of discussion about the best step length just now,we take the arithmetic of double step form of the curve by point to point ,and it double the step length that it be caculated just now to lessen the time of the circulation in the arithmetic to the it have doubled the step length,the progrss rang may large than the length of one pels when the curve go ahead one we must take the method of difference to make sure the middle pels that be steped over.
It