CAJ | 학술논문

为了利用有理参数曲线的自由度求解其最优参数化，提出一种能够快速准确地确定有理参数曲线最优参数化方程的算法。首先给出了有理参数曲线最优参数化方程的充分条件，即两端点参数速率相等且为最值；然后对一般情形的有理参数曲线方程提出求最优参数化方程的算法。与其他算法进行实验的参数化结果表明，该算法具有简单可靠、计算量小、效果好、适用范围广的优点。
위료이용유리삼수곡선적자유도구해기최우삼수화，제출일충능구쾌속준학지학정유리삼수곡선최우삼수화방정적산법。수선급출료유리삼수곡선최우삼수화방정적충분조건，즉량단점삼수속솔상등차위최치；연후대일반정형적유리삼수곡선방정제출구최우삼수화방정적산법。여기타산법진행실험적삼수화결과표명，해산법구유간단가고、계산량소、효과호、괄용범위엄적우점。
In order to use the rational freedom to solve the optimal parameterization of parametric curves, this paper present a fast and accurate algorithm for determining optimal parametric equation of rational para-metric curve. The sufficient condition of optimal parametric equation of rational parametric curve is given firstly, that is, both ends have the same rate and the values of them are optimal; then the algorithm for finding optimal parametric equations of general rational parametric curve is proposed. Compared with other algorithms, the algorithm is simple, reliable, less amount of computation, effective, and applicable to a wide range.