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研究生: 吳欣學
Wu, Hsin-Hsueh
論文名稱: 應用投影條紋法於三維曲面之重建
Reconstruction of Three Dimensional Surface by Projection Fringe
指導教授: 張志涵
Chang, Chih-Han
鐘高基
Chung, Kao-Chi
學位類別: 碩士
Master
系所名稱: 工學院 - 醫學工程研究所
Institute of Biomedical Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 73
中文關鍵詞: 三維重建投影條紋相位移
外文關鍵詞: projection fringe, phase shifting, phase unwrapped
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  •   利用電腦輔助設計與製造作為齲齒陶瓷復形物、陶瓷牙冠或陶瓷美白貼片已成為臨床可接受的治療方式;其過程中所重建復形窩洞之三維模型,除了以傳統的翻模之外,利用三維光學重建也是目前常用的方法,其可改善傳統補綴物不美觀、強度不足等缺點,與改善牙冠製作流程耗時等缺點。本研究將採用三維光學量測方式,並探討重建結果與分析,以作為未來牙科臨床之應用。
      本研究利用光學量測之主動式三角量測法做為物體的高度重建,並配合上相位移技術提高量測之精確度。研究包括了光學系統校正、光學系統架設、數位影像處理。光學系統架設利用電腦製作四步相位移條紋,透過數位投影機投射於待測物,經由電耦合元件將條紋影像擷取並儲存於電腦;再將擷取之條紋影像做影像增強、圖像雜訊濾除、帶通濾波…等前置處理。將處理完成之四張條紋圖像利用相位移法求得各像素點之相位,並透過相位展開技術求得連續相位,重建待測物表面輪廓。
      目前重建項目有方形校正塊、方形校正塊相疊、斜面、蓋子曲面與酒瓶。結果顯示:高度為14.0 mm之方形校正塊重建後平均高度為12.476 mm;校正塊高度分別14.0 mm與8.0 mm相疊,重建結果分別為12.316 mm與8.054 mm;斜面重建後之平均絕對誤差為1.778 mm;蓋子曲面重建後之平均絕對誤差為1.189 mm;而酒瓶因瓶身邊緣高度大,因此所重建後之高度誤差超過一倍。
      本實驗重建結果準確度不足,其造成之原因為:(1)物體高度所造成的陰影,使相位判別出現錯誤;(2)架設系統之精確度不足;(3)相位展開演算法為與展開路徑有關。未來研究方向建議:(1)發展與路徑無關之相位展開法;(2)提高系統之精確度;(3)將系統微小化,且可置於口內於牙齒之重建。

      Computer aided design and manufacture technology has been accepted as one of the clinical approaches to fabricate restoration block for dental caries treatment. To fabricate the restoration block, three-dimensional computer model is required. Optical method is one of the available method to build the three-dimensional model.
    This research uses phase-shifting active optical measurement method to reconstruct the height of three-dimensional surface as a preliminary step for future dental applications. The process included the setting of optics system, calibration the system, and digital image processing to reconstruct the height. The optics system included a digital projector and a CCD camera. Four fringe patterns, with different phases, were projected onto the sample object surface by the projector and the images were captured by the CCD. The images intensity was enhanced and filtered in both space and frequency domains. The phase angles of each pixel was established through these four images. The phase angles were then unwrapped to reconstruct in a continuous way and the height was obtained.
      The reconstructed samples included a squared calibration block, stacking of two squared calibration block, an inclined wedge block, a curved lid and a bottle. The results showed that : the absolute height of the squared calibration is 14.0 mm while the reconstruct height was 12.476 mm; the absolute heights of the two stacking square squared calibration were : 14.0 mm and 8.0 mm respectively while the reconstructed heights were 12.316 mm and 8.054 mm respectively; The Mean Absolute Error (MAE) of the wedge block after reconstruction was 1.778 mm. As for the lid and bottle, the general surface patterns were obtained but the accuracy needs further refine.
      In this research, the generated reconstruction results were not accurate enough. The reasons might due to: (1) the shadow induced by the sample edge height which would create error in the phase reconstruction; (2) setting of the optical system was not accurately calibrated; (3) the phase unwrapped algorithm dependent on the phase expansion’s route. Suggested improvements are: (1) develop a path independent phase unwrapped algorithm; (2) increase system accuracy by more detailed calibration; (3) decrease the system’s size to the size of being possible to reconstruct a teeth from the patient’s oral.

    摘要……………………………………………………………I Abstract………………………………………………………II 致謝……………………………………………………………IV 目錄……………………………………………………………V 表目錄…………………………………………………………VII 圖目錄…………………………………………………………VIII 第一章緒論……………………………………………………1 1.1 齲齒之流行病學與臨床表徵……………………………2 1.1.1 齲齒發生率……………………………………………3 1.1.2 齲齒病因學……………………………………………6 1.2 齲齒補綴科技……………………………………………9 1.2.1 齲齒治療方法…………………………………………9 1.2.2 牙齒復形材料…………………………………………10 1.2.3 牙齒復形之逆向工程科技……………………………13 1.3 研究動機與目的…………………………………………21 第二章 材料與方法…………………………………………22 2.1 投影條紋輪廓儀量測原理………………………………23 2.1.1 條紋相位移技術………………………………………23 2.1.2 光學三角量測原理……………………………………26 2.1.3 相位重建原理…………………………………………27 2.1.4 實驗系統校正…………………………………………29 2.2 數位影像處理方法與原理………………………………30 2.2.1 數位影像之強度轉換…………………………………31 2.2.2 數位影像之雜訊濾除…………………………………36 2.2.3 數位影像之頻濾域濾波………………………………37 2.3 實驗方法…………………………………………………41 第三章 結果與討論…………………………………………43 3.1 投影條紋輪廓儀系統雛型………………………………43 3.2 系統校正結果……………………………………………45 3.2.1 CCD光軸校正與數位投影機影像校正………………45 3.2.2 影像增強及條紋影像之對比度與亮度分析…………47 3.2.3 中值濾波之效果………………………………………49 3.2.4 頻率域濾波之效果……………………………………51 3.2.5 固定系統參數k與矩陣值系統參數k(i,j)之比較…56 3.3 校正塊相疊、斜面、蓋子曲面、酒瓶之重建結果……58 第四章 結論與未來展望……………………………………71 參考文獻………………………………………………………72

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