逆向工程（Reverse Engineering）顧名思義就是反向思考，以前的設計製造是從有圖形檔來完成實體，在設計改良上費時加上有些實體並不易造型，因此近年來逆向工程發展提供了另一個反向流程方式，並因能縮短設計時間因此工業界已高度重視，例如模具、醫學、風扇、航太、汽車等廣泛運用。逆向流程的第一步驟就是取點，而如何取到準確的點資料是影響整個逆向工程的關鍵之一。三次元量床（CMM）大量應用於測量複雜曲面等，具有精確、自動化量測等優點，其量床架構可分為機械構造和探針系統兩部分。機械部分因振動或其他原因所產生之位移，或因溫度關係有熱脹冷縮的誤差等；探針部分其大多研究顯示對已有CAD檔之工件，可求得探頭(圓球形)與工件接觸點之法向量，但對於未有CAD檔之工件則無有效之策略。
本文是以三次元量床（CMM）為量測儀器，在自動量測上本文只探討探針系統部份，探頭的量測路徑與工件接觸點之法向量，是否方向一致影響著取得點資料的準確性，針對機器自動化指令取點上結合趙建銘[10]的研究作為基礎，在測量多邊形時自動量測的規劃以多個三邊或四邊形來分解趨近不規則的多邊形。

Reverse engineering developed and provided a reverse process to design a model. It has been implemented in the industry field a lot such as the molding tools, the medical science, the fan design, the aerospace, and the automobile. The first step of reverse processes is to search the points. One of the key issue of the problem is how to acquire points data accurately that influences the reliability of the reverse engineering. Coordinate measuring machines (CMM) is used to measure complicated curves and surfaces. The advantages of CMM are it’s precision and the automatic measuring process. The structures of the CMM can be divided into the machine structure and the probe system. In the machine part, the measured errors are induced by vibrating or other reason produce displacement, and the temperature relation and so on. In the probe part, the errors are induced by the measured direction.
In the study, CMM is used as the measure machine. This study only reduced theerrors of the probe system part on the automatic measurement. The path of probe and the normal vector of touch point is consistent after iterative measurement. As well, a triangular or a rectangular loop is divided by the proposed method. The combination of the loop divided method and the iterative measurement algorithm lead to a more reliable measured method by CMM.

摘要（中） -------------------------------------------I
摘要（英）-------------------------------------------II
致謝 ----------------------------------------------IV
目錄 -----------------------------------------------V
表目錄 ---------------------------------------------VI
圖目錄 -------------------------------------------VIII
第一章 緒論----------------------------------------------1
1.1 前言----------------------------------------------1
1.2 研究動機-------------------------------------------1
第二章 研究內容-------------------------------------------2
2.1 文獻回顧 -----------------------------------------2
2.2 逆向工程 -----------------------------------------9
2.2.1 CAD/CAM系統 --------------------------- ------9
2.2.2 CMM與CAD/CAM的系統轉換------------------------10
2.3 格點 -------------------------------------------12
2.3.1 量測設備 -------------------------------------12
2.4 B-Spline曲線插值法 --------------------------------13
2.4.1 選擇 參數----------------------------------16
2.4.2 求出控制點與法向量------------------------------18
2.5 曲面量測法---------------------------------------20
2.5.1 曲面球的半徑補正 -------------------------------21
2.6 研究步驟 ----------------------------------------22
2.7 問題分析 ----------------------------------------26
2.7.1儀器問題--------------------------------------26
2.7.2工件本身--------------------------------------26
2.7.3環境因素--------------------------------------27
2.7.4人為因素--------------------------------------27
2.7.5量測因素--------------------------------------27
2.7.6誤差分析--------------------------------------29
第三章 量測與程式實作-------------------------------------33
3.1 量床量測指令 -------------------------------------33
3.2 量測實驗流程 -------------------------------------35
3.3 程式架構 ----------------------------------------36
3.4 結果 -------------------------------------------38
第四章 結論 --------------------------------------------43
參考文獻 ----------------------------------------------44

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