对偶De Casteljau算法的扩展

Proceedings of the Fourth International Conference on Parallel and Distributed Computing, Applications and Technologies Pub Date : 2003-10-20 DOI:10.1109/PDCAT.2003.1236392

R. Ding, Y. Zhang

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引用次数: 2

摘要

直纹曲面设计及其应用广泛应用于计算机辅助几何设计和工业领域。对偶De Casteljau算法[K]。(1997)]用于绘制直纹曲面。但是，它不能绘制任何类型的直纹曲面。在这里，将该算法推广到绘制双曲面，如果用初始算法绘制，双曲面可能是不定的。研究了用对偶法生成的直纹曲面的对偶特性。讨论了双平行控制螺杆定位仪的特殊位移方法。对偶De Casteljau算法的扩展显示了对偶方法在绘制直纹曲面上的广泛应用。

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The extension of the dual De Casteljau algorithm

Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The dual De Casteljau algorithm [K. Sprott et. al., (1997)] is for drawing ruled surfaces. However, it cannot draw any type of ruled surfaces. Here, the algorithm is extended to draw the hyperboloid which could be indefinite if it is drawn by the initial algorithm. The dual characteristics of ruled surfaces created by using the dual method are investigated. The special displacement method of the rulings with two parallel control screws is also discussed. The extension of the dual De Casteljau algorithm has shown the wider usage of the dual approach for drawing ruled surfaces.

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Proceedings of the Fourth International Conference on Parallel and Distributed Computing, Applications and Technologies

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