基于自由型特征的NURBS曲线设计
李爱民，尚可超
（西安科技大学 机械学院，陕西 西安 710054）
摘要：自由型特征由于其自身的复杂性、不确定性使其表示、编辑及操作十分困难。利用信号处理技术——小波多分辨率分析，将NURBS曲线从单一尺度几何表示的空域空间变换为频域空间的表示形式。通过小波滤波器组完成了对模型的整体特征和自由型特征的分离，从而实现了NURBS曲线基于自由型特征的编辑、操作和控制。该方法不仅提高了NURBS曲线几何建模的效率，而且有效克服了传统NURBS曲线建模的繁琐和费时。
关键词：NURBS曲线；自由型特征；小波；多分辨率分析
中图分类号：U412.34 文献标志码：A doi：10.3969/j.issn.1006-0316.2014.06.004文章编号：1006－0316 (2014) 06－0017－05
Design of NRUBS curve based on free-form feature
LI Ai-min，SHANG Ke-chao
( School of Mechanical Engineering, Xi'an University of Science and Technology, Xi'an 710054, China )
Abstract：It remains very hard for free-form features to represent, edit, and operate them because of their complexity and uncertainty. The present paper establishes NURBS curve multi-resolution representation by signal processing technology (wavelet multi-resolution technology), NURBS cures made changed from single-scale geometric space to frequent space. Through a wavelet filter bank, separation is fulfilled for total features and detail features of a model. Based on free-form features, this makes it easy for NURBS curve editing, operation, and control and so on. This approach not only improves geometric modeling efficient, also overcomes miscellaneousness and troublesomeness.
Key words：NURBS curve；free-form feature；wavelet；multi-resolution analysis
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收稿日期：2014－02－26
基金项目：陕西省教育厅自然科学基金（11jk0859）
作者简介：李爱民（1972－），男，河南洛阳人，博士研究生，讲师，主要研究方向为计算机辅助几何设计、CAD/CAM/CAE、计算动力学等。
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