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  • 學位論文

B-spline曲面G2連續性之自動調整

Automated G2 Continuity Adjustment of B-spline Surface

指導教授 : 尤春風

摘要


電腦輔助設計與逆向工程目前在工業界已被廣泛使用,尤其對曲面造型更扮演著重要角色。無論是由曲面設計或是以逆向工程所得之產品曲面資料,連續性要求都是力求產品美觀與便於製造的關鍵因素。本研究主要目的在於探討提昇B-spline曲面在連續性調整的效率,以自動化方式縮短工作時程。 本研究嘗試在取得B-spline曲面的幾何資料與拓樸資料同時,依曲面狀況動態設立參照關係與調整方向,達成自動化流程。使曲面資料在經過自動化的連續性調整後,更容易達到A級面的G2連續條件。

並列摘要


Computer aided design and reverse engineering are used wildly in industrial and played an important role for surface modeling。Continuity is the pivot factor for pursuing the beauty of product and the convenience of manufacturing process whether the surface data are derived from surface modeling or reverse engineering.The purpose for this research is to promote the efficiency of surface-continuity adjustment by automatic process. This research attempts to build an automatic process by getting the geometry and topology data from surface and tries to construct the reference of patches.After the automated contunuity adjustment, G2 condition of class-A quality of surface can be obtained more easily.

參考文獻


[1] Barsky, B. A., “End conditions and boundary conditions for uniform B-spline curve and surface representations”, Computers in Industry, 3, pp.17-29, 1982.
[2] I. D. Faux and M.J. Pratt, Computational geometry for design and manufacture, Rainbow-Bridge Book Co. Etd., 1979.
[8] Lai, J.-Y. and Ueng, W.-D., “ continuity for multiple surfaces fitting”, The International Journal of Advanced Manufacturing Technology, pp. 575-585, 2001.
[10] Ye, Xiuzi and Liang, Youdong and Horst Nowacki, “Geometric continuity between adjacent patches and their construction”, Computer Aided Geometric Design, Vol.13, pp.521-548, 1996.
[11] Zhou, Xi-jun., “ continuity algorithms between adjacent NURBS patches along common cubic boundary curve”, Chinese Journal of Aeronautics , Vol 16, No.4, pp. 242-246, 2003.

被引用紀錄


曹育銘(2010)。B-spline曲面搭接連續性調整〔碩士論文,國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU.2010.00137

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