摘要
利用实四元数理论,提出了一种将一般位置平面曲线变换到空间任意指定位置的一种简捷方法。对给定的平面曲线,只需经过一次平移和一次旋转即可完成到指定位置的变换。该方法容易确定变换的旋转轴和旋转角,克服了传统矩阵方法难以提取变换几何要素的缺陷。
A new effective method which makes use of quatemion theory is presented to implement location transformation of a plane curve. By just one move and one rotation, an arbitrary located curve can be transformed to a given position. The rotation＇s axis and magnitude are easily extracted from this method, which overcomes the drawbacks of the matrix method successfully.
出处
《工程图学学报》
CSCD
北大核心
2007年第2期124-128,共5页
Journal of Engineering Graphics
基金
国家自然科学基金资助项目(70471034)
关键词
计算机应用
三维旋转
实四元数
参数曲线
computer application
three dimensional rotation
quatemion
parametric curves
