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題 名 | A Computational Geometry Approach to Minimum Zone Evaluation of Straightness=以計算幾何方法求解真直度 |
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作 者 | 洪榮廷; 廖運炫; 范光照; | 書刊名 | 中國工程學刊 |
卷 期 | 14:5 1991.09[民80.09] |
頁 次 | 頁463-470 |
分類號 | 440.11 |
關鍵詞 | 計算幾何方法; 真直度; |
語 文 | 英文(English) |
中文摘要 | 真直度之定義為包含所有量測點的平行線中具最小間距者,一般是以最小平方差 法或最佳化技巧來求解。根據幾何的觀點作者曾提出從量測到的數據可唯一決定真直度的新 方法。本文將該方法詳以解說,並提出其數學理論以做為發展其它幾何公差評估方法的基礎 。文中將描述特徵凸多邊形的觀念,推導其與真直度的關係,並討論有關數值計算所需的資 料結構與演算法。將實際量測到的數據加以計算,並與其他方法比較,證實所提之方法確可 得到符合真直度定義之最小值。 |
英文摘要 | Straightness, defined by minimum separating parallel lines, was usuaily evaluated by means of the least squares method or optimization techniques. A new apporach whic can uniquely determine straightness from measured data based on geometrical considerations has been proposed by the authors previously. The idea of the approach is elaborated, and a sound mathematical background is given in the paper so that similar approaches to estimating other geometrical tolerances can be developed. The concept of a geometrical EigenPolyGon (EPG) model is described. and the relationship between the EPG and straightness is derived. The computer algorithms to construct EPG and then to calculate straightness are also proposed. Finally, the developed approach is verified through the use of some sampled measurements. |
本系統中英文摘要資訊取自各篇刊載內容。