基于谐波的雕刻曲面参数化描述方法

Research on Parametrization Description of SculpturedSurface Based on Harmonics

在雕刻曲面的计算机辅助设计与制造过程中，传统的曲面描述方法难以较好地处理曲面几何信息与艺术特征之间的关系，为此提出了谐波分析方法对雕刻曲面进行参数化描述，通过提取雕刻曲线、曲面的特征参数来实现雕刻曲面或曲线的几何信息与艺术特征信息的记录，并探讨了如何应用谐波特征参数拟合出雕刻曲线与曲面的几何形状及其艺术风格。

A bottle-neck problem in CAD/CAM on sculptured surface, how to describe its artistic features is presented. It is difficult to describe the geometric information and artistic featuresat the same time with traditional curved surface description methods. A parametrization description for sculptured surface with harmonics analysis method is put forward. The geometric andartistic information can be described through extraction on feature parameters from sculpturedsurface, and how to produce the geometric shape and artistic style with harmonic feature parameters is discussed.