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題 名 | Bλ木條曲線--兼具內插與局部幾何特性控制之B木條曲線=Bλ-Spline Curves--B-Spline Curves with Interpolation and Local Geometrical Shape Control Properties |
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作 者 | 郭真祥; 莊健青; 何俊賢; | 書刊名 | 中國造船暨輪機工程學刊 |
卷 期 | 16:4 1997.11[民86.11] |
頁 次 | 頁1-14 |
分類號 | 444.1 |
關鍵詞 | B木條曲線; Bλ木條曲線; 內插; 局部形狀控制; B-spline curves; Bλ-spline curves; Interpolation; Local shape control; |
語 文 | 中文(Chinese) |
中文摘要 | 在電腦輔助幾何設計中,曲線的表示或設計有許多種不同的方法。對於自由形狀曲線的形成,B木條曲線(B-splines)為常使用的方法之一,唯在給定形狀之情況下,以B木條曲線在內插時,常會有不能完全表達所要求局部曲線幾何特性的情形,因此以B木條曲線為基本觀念,加以改良,而得到另一種新型曲線稱之為Bλ木條曲線(Bλ-splines)。Bλ木條曲線是將一B木條曲線段進一步細分成λ段,因控制點相對地增加,容許更小範圍的控制點移動而不致於使影響擴大,因此較B木條曲線有更好的局部控制性,可以對同一組資料點依照要求之幾何特性,如特定之斜率或╱及曲率等產生局部形狀不同的曲線。 |
英文摘要 | In the field of Computer Aided Geometric Design, there are a lot of methods can be used for representation or design of curves. Regarding the generating of free form curves, B-spline curve is one of the often used methods. Problems are encountered when applying B-splines for interpolating a curve, because they cannot represent some specified local curve shape very well. Bλ-spline curves are constructed by dividing a B-spline curve segment into λsub-segments for improving the drawbacks of the normal B-splines. Bλ-spline curve have excellent local shape control properties. With a set of given data points, it is possible not only to create acurve passing all of them but also to specify some geometrical properties such as slpoes or curvature at them. |
本系統中英文摘要資訊取自各篇刊載內容。