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研究生: 吳志偉
Jrwei Wu
論文名稱: 無序性三維點資料之網格化曲面重建
Reconstruction of Polygonal Surface from Unorganized 3D Points
指導教授: 屠名正
學位類別: 碩士
Master
系所名稱: 機電工程學系
Department of Mechatronic Engineering
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 58
中文關鍵詞: 逆向工程三角網格曲面表面重建火龍尼圖狄龍尼三角網格
英文關鍵詞: Reverse Engineering, Triangulated surface, Reconstruction of surface, Voronoi diagram, Delaunay diagram
論文種類: 學術論文
相關次數: 點閱:225下載:10
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  • 無序性三維點資料,意指僅具有三維座標而無其它額外資訊的點資料。本論文將依此僅有的條件來完成其網格曲面的重建。
    為了使網格曲面能呈現模型原貌,則需要大量的點資料,這使得在計算上非常耗時且有較高的複雜度。本研究以區域性處理的方式來建構網格曲面,藉由鄰近點集合的建立,來增進建立網格的效率,並能維持點資料的區域性特徵。
    網格建立後,並非全部是用來作為網格曲面,因為有多餘網格的存在。多餘網格會增加網格曲面的資料量、影嚮後續的處理以及網格曲面無法應用於製造上。本研究於重建的演算法中加入刪除多餘網格的準則來避免這個現象。

    Unorganized three-dimensional points means that the points contain no additional information other than the three-dimensional coordinates. In this dissertation, the reconstruction of polygonal surface will be implemented with the only condition “three-dimensional coordinates.”
    For presenting whole model with polygonal surface, it is needed to have a flock of points. The large quantity of points in computing cost much time and have higher complexity. In this research, a method is presented with regional process to reconstruct the polygonal surface. The efficiency of building polygons is improved and the local feature of point is reserved by building neighbor points set.
    After building polygons, all the polygons are not used to form the polygonal surface because many unnecessary polygons exist. That will enlarge the data of polygonal surface, affect the follow-up processes and cause the polygonal surface not useful in manufacturing. In the research, the algorithm of reconstruction is added the rules to delete the unnecessary polygons.

    總目錄 中文摘要………………………………………………………… I 英文摘要………………………………………………………………… II 總目錄…………………………………………………………………… III 圖目錄……………………………………………………………………VI 表目錄……………………………………………………………………VIII 第一章 緒論………………………………………………………………… 1 1.1 前言……………………………………………………………… 1 1.2 研究動機………………………………………………………… 2 1.3 研究目的………………………………………………………… 3 1.4研究範圍與限制…………………………………………………3 1.5研究方法…………………………………………………………4 第二章 文獻回顧……………………………………………………………6 2.1 幾何定義…………………………………………………………6 2.1.1 凸殼…………………………………………………6 2.1.2 火龍尼圖.……………………………………………7 2.1.3 狄龍尼三角網格……………………………………8 2.1.4 凸殼、火龍尼圖和狄龍尼三角網格之間的關係………9 2.2 演算法………………………………………………………12 2.2.1 計算幾何學………………………………………12 2.2.2 無順序性點資料網格化…………………………13 第三章 演算法介紹………………………………………………………16 3.1 Voronoi Filtering Algorithm………………………………… 16 3.2 Greedy DBRG Algorithm……………………………………… 20 3.3 研究步驟……………………………………………………… 22 3.3.1 逐層排序…………………………………………23 3.3.2 逐層排序後的分析與計算……………………………24 3.3.3 火龍尼圖……………………25 3.3.4 刪除多餘網格…………………………………………26 3.3.5 三角網格曲面…………………………………………27 3.4 演算法…………………………………………………………31 第四章 實驗結果與分析…………………………………………………33 4.1 標準形狀之重建………………………………………………33 4.2 演算法之分析……………………………………………37 4.3 實作結果………………………………………………………38 第五章 結論…………………………………………………………………45 參考文獻………………………………………………………………………47

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