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研究生: 鐘永彬
Youn-Bin Zhong
論文名稱: 三角網面為基礎之曲面設計系統發展與應用
指導教授: 莊漢東
Han-tung Chuang
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
畢業學年度: 89
語文別: 中文
論文頁數: 95
中文關鍵詞: 迪氏網格網格三角化細化平滑化植入物
外文關鍵詞: Delaunay, Triangulation, Subdivision schemes
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  • 本研究於Windows作業環境下進行,以C++語言發展程式,並結合VTK (The Visualization Toolkit)圖形處理類別庫來進行系統整合。



    The content of this research includes three subtopics: (a) the triangulation base on scattered data is constructed by the rule of “Projective Delaunay Triangulation”, and the smooth strategy for the result is developed. (b) the interactive interface of real-time editing and the clipping of triangulate surface that loads from the CT or STL are developed and applied to cranium implant design. (c) the molding clay surface design interface with the interactive subdivision preview system that combines the real-time subdivision with single/multi control points moving interface is developed.
    This research is developed with C++ language and integrated with VTK (The Visualization Toolkit) in the Windows operation system.

    摘 要 I ABSTRACT II 致 謝 III 目 錄 IV 圖 索 引 VII 第一章 緒論 1 1.1 前言 1 1.2 研究目的 3 1.3 研究方法 4 1.4 文獻回顧 6 1.5 論文結構 8 第二章 初始三角網格之建立 9 2.1 資料結構 9 2.2 迪氏三角網格 14 2.3 零散點之曲面建立 15 2.4 建構結果 20 第三章 三角網格之修正 25 3.1 網格之缺陷 25 3.2 基本定義 27 3.3 平滑度修正策略 32 3.4 修正流程 37 3.5 修正結果與分析 39 第四章 網格之編輯與即時細化 42 4.1 網格之編輯 42 4.1.1 單點與多點移動 42 4.1.2 曲面裁剪 44 4.2 網格之細化 50 4.2.1 細化法則 50 4.2.2 即時之網格細化 53 第五章 應用實例與結果 59 5.1 系統簡介 59 5.2 零散點之曲面建立與修正編輯 63 5.3 顱顏缺陷修補運用實例 70 5.3.1 由斷層掃描圖檔建立三維曲面 70 5.3.2 顱顏缺陷修補實例一 72 5.3.3 顱顏缺陷修補實例二 84 第六章 結論與展望 88 6.1 結論 88 6.2 展望 89 參考文獻 91 附 錄 94

    [1] Chivate, P.N. and Jablokow, A.G., “Review of surface representations and fitting for reverse engineering”, Computer Integrated Manufacturing Systems, Vol. 8, No. 3, pp. 193-204, 1995.
    [2] Choi, B.K., Shin, H.Y., Yoon, Y.I. and Lee,J.W., ”Triangulation of scattered data in 3D space”, Computer-Aided Design, Vol. 20, pp. 239-261, 1988.
    [3] Cleynenbreugel, J.V., Verstreken, K., Smet, M.H., Marchal, G. and Suetens, P., “3D imaging and stereolithographic modeling of bony structures for operation planning”, 4th International Workshop on Rapid Prototyping & Computer-Assisted Surgery, 1997.
    [4] Dyn, N., Gregory, J.A. and Levin, D., “A butterfly subdivision scheme for surface iterpolation with tension control”, ACM Transactions on Graphics, Vol. 9, No. 2, pp. 160-169, 1990.
    [5] Edelsbrunner, H. and Mucke, E.P., “Tree-dimensional Alpha Shapes”, Technical Report Rept. UIUCDCS-R-92-1734, Comput. Sci. Dept., Univ., Illionis, Urbana, Illinois, 1992.
    [6] Golias, N.A. and Dutton, R.W., “Delaunay triangulation and 3D adaptive mesh generation”, Finite Elements in Analysis and Design, Vol. 25, pp. 331-341, 1997.
    [7] Levin, A., “Combined subdivision schemes for the design of surfaces satisfying boundary conditions”, Computer Aided Geometric Design, No. 16, pp. 345-354, 1999.
    [8] Liu, S. and Ma, W., “Seed-growing segmentation of 3-D surfaces from CT-contour data”, Computer-Aided Design, Vol. 31, pp. 517-536, 1999.
    [9] Lo, S.H., “Delaunay Triangulation of non-convex planar domains”, International Journal for Numerical Methods in Engineering, Vol. 28, pp. 2695-2707, 1989.
    [10] Lorensen, W.E. and Cline, H.E., “Marching Cubes: A High Resolution 3D Surface Construction Algorithm”, Computer Graphics, Vol. 21, No. 3, pp. 163-169, 1987.
    [11] Park, H. and Kim, K., “An adaptive method for smooth surface approximation to scattered 3D points”, Computer-Aided Design, Vol. 27, No. 12, pp. 929-939, 1995.
    [12] Patricia, M.G. and Alfred, D.L., “3-D Representation and Visualization of the Human Face and applications to Surgery, Morphology, Anthropometrics and Forensic Science”, Contemporary perspectives in Three-Dimensional Biomedical Imaging, ISO Press, 1997.
    [13] Qu, R. and Agarwal, R.P., “Smooth surface interpolation to scattered data using interpolatory subdivision algorithms”, Computers Mathematics Application, Vol. 32, No. 3, pp. 93-110, 1996.
    [14] Schoreder, W.S., Martin, K. and Loreson, B., The Visulization Tool-kit, Prentice Hall, pp. 158-164, 1997.
    [15] Stroud, I. and Xirouchakis, P.C., “STL and extensions”, Advances in Engineering Software No. 31, pp. 83-95, 2000.
    [16] Watson, D.F., “Computing the n-dimensional Delaunay tessellation with application to Voronoi polytypes”, Computer Journal, Vol. 24, pp. 167-172, 1981.
    [17] 李武松, “顱顏整型手術用植入物之設計與製作”, 碩士論文, 中央大學機械所, 2000.
    [18] 邱聰倚, “不規則點資料之曲面擬合與應用”, 碩士論文, 中央大學機械所, 1995.

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