本研究探討以不規則量測點來建構三角平面網格為主之三維曲面，以及三維曲面的交談式即時編輯與修正，和其在逆向工程與醫學工程之應用研究。內容涵蓋：（1）使用投影迪氏網格將不規則點資料建構出以三角平面網格為主之三維曲面，並發展針對該三角化法之平滑化修正策略。（2）開發三維曲面交談式即時編輯系統，能對經由斷層掃描二維影像所建構之曲面或由STL檔讀入之三角網格進行裁剪，並應用於顱顏缺陷之修補。（3）發展即時網格細化之策略，並經由對曲面上單點?多點控制點的移動，來達到曲面造型設計的需求，再配合交談式預視編輯系統建構出有如捏製黏土般的開發介面。 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。 This research emphasizes the triangulation of scattered data in 3D space and real-time interaction of 3D surface editing and fixing. In addition, the application of the system in reverse engineering and medical engineering are proposed. 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.
