桂林电子科技大学学报
桂林電子科技大學學報
계림전자과기대학학보
Journal of Guilin University of Electronic Technology
2015年
4期
336-339
,共4页
双曲抛物面%等距曲线%代数样条
雙麯拋物麵%等距麯線%代數樣條
쌍곡포물면%등거곡선%대수양조
hyperbolic paraboloid%offset curve%algebraic spline
为了得到双曲抛物面上的等距曲线，提出一种双曲抛物面上样条曲线的等距曲线算法。在重心坐标系下，通过求双曲抛物样条曲线的法向量，得到相应的等距曲线。借助仿射变换和向量叉积，计算样条曲线的法向量。通过 Matlab 软件实现对等距曲线的绘制，并在给定节点的情况下对等距线进行拼接。结果表明，用该算法获取的双曲抛物面上样条曲线的等距曲线简单、快捷。
為瞭得到雙麯拋物麵上的等距麯線，提齣一種雙麯拋物麵上樣條麯線的等距麯線算法。在重心坐標繫下，通過求雙麯拋物樣條麯線的法嚮量，得到相應的等距麯線。藉助倣射變換和嚮量扠積，計算樣條麯線的法嚮量。通過 Matlab 軟件實現對等距麯線的繪製，併在給定節點的情況下對等距線進行拼接。結果錶明，用該算法穫取的雙麯拋物麵上樣條麯線的等距麯線簡單、快捷。
위료득도쌍곡포물면상적등거곡선，제출일충쌍곡포물면상양조곡선적등거곡선산법。재중심좌표계하，통과구쌍곡포물양조곡선적법향량，득도상응적등거곡선。차조방사변환화향량차적，계산양조곡선적법향량。통과 Matlab 연건실현대등거곡선적회제，병재급정절점적정황하대등거선진행병접。결과표명，용해산법획취적쌍곡포물면상양조곡선적등거곡선간단、쾌첩。
In order to obtain the spatial offset curve for a spline in the hyperbolic paraboloid,an offset algorithm of spline on hyperbolic parabolid is presented.The principal normal vector of the hyperbolic paraboloid spline is solved to get its offset curve with its barycentric coordinate systerm.With the help of affine transformation and vector cross product,the normal vector of spline curve is calculated.Through Matlab software,the equidistant curve drawing is implemented,and the equi-distant line is spliced in the case of a given node.The results show that the method is fast and convenient in drawing offset curve of spline on hyperbolic paraboloid.
