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NURBS曲线的几何建模,传统方法是通过模型的控制顶点对曲线进行操作、编辑和处理,繁琐费时,使NURBS曲线的设计变得十分困难。基于一种新的半正交非均匀B样条小波多分辨率技术将单一尺度几何空间变换到多尺度空域和频域空间,NURBS曲线的整体结构和局部细节被转化为曲线的多尺度整体特征和细节特征。通过对这种多尺度特征的编辑、操作和处理有效实现NURBS曲线的几何建模。
Abstract：In the process of geometric modeling for NURBS curves,the conditional methods mainly depend on control points of models to operate,edit,and deal with them.This kind of approach not only is miscellaneous,but troublesome.This makes it quite difficult for NURBS curve design.The present paper establishes NURBS curve multi-resolution representation based on a new kind of semi-orthogonal nonuniform B-spline wavelet transformation,NURBS cuves made changed from single-scale geometric space to multi-scale geometry space and frequency domain.The total structure and detail of NURBS curves are all represented as features.It is fully realized for editing,operating and process of NURBS curve with multi-scale features.
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基本信息:
DOI：
中图分类号:TP391.7
引用信息:
[1]李爱民,郭卫.非均匀有理B样条曲线多分辨率特征几何建模研究[J].机械,2014,41(12):13-16+42.
基金信息:
陕西省教育厅自然科学基金(11jk0859)