臺灣博碩士論文加值系統

移相式數位全像術是融合了「移相干涉術(Phase-shifting interfreometry)」及「全像攝影術(Holography)｣的光學攝影技術，此技術可以經由CCD攝影機取得數張步階相移的干涉條紋光強度圖，並儲存於電子記憶體中。電腦由這些干涉圖，計算其全像面上的複數振輻，並經由菲涅爾轉換，得到物平面上的複數振輻。本文旨在討論，數位全像資訊在雜訊傳輸通道時，所受的影響，以及錯誤偵測，和去除雜訊之方法。由於干涉圖是以圖形檔的式所儲存的，本文將討論幾種在數位影像常見的傳輸雜訊：脈衝雜訊（Impulse Noise）、位元錯誤率（BER：Bit Error Rate）與加成性白高斯雜訊（AWGN：Additive White Gaussian Noise）。

Phase-shifting digital holography is a technique that encodes the complex object wave by using the interference patterns. Whereas these patterns are captured by the charge-couple device (CCD) in digital form and thus the object wave can be digitally reconstructed by using computer. The essential advantage of the digital holography is that it can be stored and transmitted as the digital data. Recently researches provide some compression techniques to reduce the data rate before storing or transmitting the digital holography. In this paper, we study the statistical model for the transmission errors of the digital holography and a detection-correction approach is provided to reduce the transmission error. There are three kinds of the error models which include Impulse noise, bit error rate(BER) and additive white Gaussian noise（AWGN）. In the detection, we apply the redundant data in the four-step phase-shifting interference patterns to identify the noisy point. Then the adaptive reconstruction algorithm is used to correct the transmission loss of the interference patterns. The experimental results illustrate the performance of the proposed reconstruction algorithm to reduce the transmission error of the digital holography.

摘要 i
英文摘要 ii
目錄 iv
第一章 緒論 1
1.1 緒論 1
1.2 研究目的 1
1.3 本文架構 1
第二章 歷史背景與基本原理 1
2.1 全像術(Holography) 4
2.1.1 照像術與全像術 4
2.1.2 數學原理 6
2.1.3 全像攝影術的架構 8
2.2 同調雷射光(Coherent Laser) 11
2.3 菲涅爾轉換(Fresnel Transform) 13
2.3.1 菲涅爾(Fresnel)近似 14
2.3.2 弗朗哈佛(Fraunhofer)近似 14
第三章 移相式數位全像術(Phase-Shifting Digital Holograpy) 16
3.1 移相術(Phase-Shifting Techique) 16
3.2 重建全像平面之複數振幅 17
3.2.1 三步演算法 18
3.2.2 四步演算法 19
3.3 模數π的影響 20
3.4 重建物光 21
第四章 實驗與模擬 23
4.1 實驗步驟 23
4.2 實驗結果 31
4.3 模擬 37
第五章 雜訊通道的傳輸 41
5.1 脈衝雜訊 41
5.1.1 脈衝雜訊對全像資訊的影響 41
5.1.2 脈衝雜訊錯誤偵測 43
5.1.3 脈衝雜訊的去雜訊演算法 44
5.2 BER 52
5.2.1 BER對全像資訊的影響 51
5.2.2 消除BER所造成的雜訊 53
5.4 AWGN 57
5.2.1 AWGN對全像資訊的影響 57
5.2.2 AWGN的錯誤估測 59
第六章 結論 61
參考文獻 62

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