在全像相關的顯示領域中，重建影像品質一直以來都是相當重要的議題，尤其是講究重建真實度的三維立體顯示。本論文提出三維電腦全像影像優化之方法與驗證，結合三維電腦全像術與視網膜投影系統，以實現動態、大尺寸且具高擬真度之三維全彩電腦全像投影系統。本系統之三維電腦全像片的編碼是採用優化型Gerchberg-Saxton演算法，以點對點之形式擷取三維物體之純相位資訊(Phase-only Function, POF)，其中加入旋轉矩陣搭配不同方向之重建光源來模擬重建物體的各個視角，並利用其波長加密與位置多工之特性計算三原色R、G、B之POF，演算完成後透過全彩光學重建系統重建出多深度之三維全彩電腦全像。本光學重建機構利用斜向入射光路結合正交線偏振片之消光特性來降低非影像光之干擾並同時大幅提升影像品質，而光源的部分三原色R、G、B採用同時混色方式並搭配十字分色稜鏡來達到低複雜性混光結構，動態三維電腦全像則是以快速切換多視角POF的方式來實現。最後，本研究針對影像擬真度與重建影像品質進行評估，擬真度方面採用結構相似性指標(Structural Similarity Index, SSIM)而重建影像品質評估則是採用相對繞射效率、均方根誤差、訊號雜訊比值與雷射光斑對比度進行客觀影像品質分析作為本論文之三維電腦全像品質之指標。

The fidelity and reconstruction quality are critical in holography display applications, three-dimensional (3D) displays particularly. In this thesis, a high fidelity three-dimensional computer generated holographic projection system is proposed, which combines retina projection system and three-dimensional computer generated holography for achieving the dynamic and large size three-dimensional computer generated holographic display. Modified Gerchberg-Saxton algorithm is utilized with combing rotation matrix and different directions of light sources to transform 3D object to phase-only function (POF), which can reconstruct multi-view of 3D object. The point-to-point method is adopted in modified Gerchberg-Saxton algorithm to retrieve POF with high accuracy. The reconstruction image reconstructed by POF will clear or blurr when focusing on reconstruction plane or others, respectively. In the reconstruction system, X-cube is utilized for combining R, G and B and orthogonal linear polarizer with oblique incidence for eliminating reflection light, moreover, the dynamic iamge is achieved by switching POFs. Finally, the fidelity and reconstruction image quality is accessed by structural similarity index (SSIM), related diffraction efficiency (RDE), root-mean-square error (RMSE), signal-to-noise ratio (SNR) and speckle contrast (SC) for evaluating the reconstrted image.

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