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題 名 | 形狀導向最佳節點分佈非均勻B樣條曲線之研究 |
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作 者 | 曹立人; 吳青臺; 曹福來; | 書刊名 | 中正嶺學報 |
卷 期 | 21:2 1993.01[民82.01] |
頁 次 | 頁41-50 |
分類號 | 319.71 |
關鍵詞 | 分佈; 形狀導向; 非均勻B樣條曲線; 最佳節點; 節點向量; 最佳化; Nonuniform B-spline curve; Knots vector; Optimization; |
語 文 | 中文(Chinese) |
中文摘要 | 本文的非均勻B樣條理論,使用最佳化理論之內罰法求取以曲線形狀 為導向的非均勻分佈節點組;同時,以長短軸比例極大的橢圓為對象估算的結果 與均勻B樣條曲線比較。由最佳結點向量所得之非均勻B樣條橢圓曲線與真實 橢圓比較。其最大偏離度只有均勻B樣條之50。而本法之特點是當給定點不對 稱時,其偏離度則只有均勻B樣條之25。因此,不論給定點如何設定,有最佳 結點組之非均勻B樣條曲線對特殊形狀之曲線設計有較佳之結果。 |
英文摘要 | In this paper, the theory of nonuniform B-spline curve is derived. In addition, accompanied by the interior penalty method, it can also be applied to the solving of nonuniformdistributed knots set. Meanwhile, compared with uniform B- spline curve to find out thedifference between these methods. The object of our analysis in this paper was the ellipseswhich have various extreme ratio in long and short axes. The total deviation of this methodof nonuniform B-spline curve with optimal knots vector is 50 of that in uniform B-splinecurve. The most special merit of this proposed model is that its total deviation is 25 of thosein uniform B-spline curve when the given points are not symmetrically provided. Therefore,no matter what given points are provided, the method of nonuniform B-spline curve withoptimal knots vector has much more advantages. |
本系統中英文摘要資訊取自各篇刊載內容。