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題 名 | On the Dimension and the Computer Graphic Application Algorithms of the Self Similar Fractal Geometric Objects=遞迴碎形計算機圖形之分維計算 |
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作 者 | 蘇樂筠; 蘇樂群; 劉德清; | 書刊名 | 黃埔學報 |
卷 期 | 34 1998.03[民87.03] |
頁 次 | 頁67-78 |
分類號 | 448.595 |
關鍵詞 | 遞迴碎形計算機圖形; 分維計算; Fractals; Fractal dimension; Computer graphics; Self-similarity; Hausdorff dimension; Topological dimension; Compact set; |
語 文 | 英文(English) |
英文摘要 | When we deal with the shapes of the objects in the nature, often we try to abstract them in terms of the man-made models that consist of classes of objects, that are easy to construct, to manipulated and to analyze. Along this line, it is not a surprise that we found the most often used objects in modeling are flat objects or polygonal oriented objects. But one of the typical shortcoming of chosen this kind of approximation is, that it grossly simplifies the details of the complexity of the real objects to fit the model, rather than using the correct point set to fit the objects. In this abstraction process there are some of the detail of the ojects are omitted. Unfortunately, there are objects in nature with crucial characteristics can not be recovered under this kind of omission. So the perfectly created man-made object are too "perfect" to address the imperfectness of the natural objects. So, when we say in real world nothing is perfect, actually we mean that the complexity of the objects in the nature is too much for the simplistic man made objects to describe accurately. In nature, objects are what those tinny little detailed imperfections are all about, that make them distinguished from othe ojects. Shapes with complexity are needed to do a better work. The kind of geometrical objects studied recent years was coined the name Fractals [Ref. 1, 2] can do better work in this aspect in dealing with the far reaching complexity than the traditional flat objects ever could have done. |
本系統中英文摘要資訊取自各篇刊載內容。