臺灣博碩士論文加值系統

配合電腦圖學技術的精進發展，本篇論文選用和其基礎概念相同之多邊形法來計算記錄於電腦全像片上之物波光場。沿用L. Ahrenberg教授於2008年所提出的多邊形處理法解析模型，希望透過此法減少快速傅立葉(FFT)轉換的使用，加速運算流程以減少運算所需時間。我們以Misfit Model 3D軟體從外部繪製好目標三維物件後，再以Matlab讀取並執行多邊行處理法解析模形的計算，更進一步的探討光源位置所造成的陰影等更深層的問題。而為了能以單片的Holoeye公司出產的LC-R2500液晶光學調制器顯示全像片。我們將運算所得之物波光場編碼成Kinoform形式的純相位電腦全像片。
為了改善Kinoform相位電腦全像片的邊緣加強效應，我們加入了亂數相位以模擬光擴散板，使得資訊分布的更加均勻。然而此種解析模型加入亂數相位後，將會失去大部分的景深資訊，無法達成我們希望重現三維立體視覺的目的。對此，本文提出了一個適用解析模型的三角形分割法，此方法能夠克服景深資訊遺失的問題。我們以上述之原理對二維及三維物件進行記錄後編碼成相位電腦全像片，再以數位方式重建。
最後，我們以LC-R2500來顯示二維物件記錄後編碼成的全像片，並以4F系統將重建之像呈現在影像記錄器上以便觀察。重建結果既符合我們原物件記錄時的資訊，也和數位重建結果互相符合。因此，我們以實驗結果驗證了本論文所提出之方法所產生的相位電腦全像片，能夠將物體的三維深度資訊記錄並且能夠正確的重建。

We present a method to create a computer-generated hologram (CGH) which is made from the 3D computer graphic models composed of 2D polygons. As the developing of technique of computer graphic, this promising approach of making CGH is getting popular. We follow the analytical model proposed by Professor L. Ahrenberg in 2008 with some modification. The analytical model is used to avoid complicated FFT computation to reduce time consuming. We use Misfit Model 3D as the 3D object creating program. Then load the object and process the calculation by MATLAB. To display the CGH on the optical modulation display LC-R2500 which produced by Holoeye, we encode our CGH in the Kinofrom approach.
In order to improve the image quality of Kinofrom CGH, we add random phase as diffuser to make the light more uniform. However, this step will lost most depth information. Here, we proposed a divided method on this kind analytical model to solve the edge enhancement and improve the quality of the Kinoform CGH.
Finally, we use both numerical and optical experiment to reconstruct our computer generated hologram. We prove that the method proposed in this paper can reconstruct the object correctly.

中文摘要-------------------------------------ii
英文摘要-------------------------------------iii
致謝-------------------------------------------iv
目錄-------------------------------------------vi
圖次/表次-----------------------------------viii
第一章　緒論-------------------------------1
1-1　簡介---------------------------------1
1-1-1　全像術簡介--------------------------1
1-1-2　電腦全像術--------------------------3
1-2　三種電腦全像片的製作方式----------------4
1-3　研究動機------------------------------6
1-4　本文架構------------------------------8
第二章　多邊形取樣之電腦全像理論模型----------9
2-1　光學繞射之角頻譜法---------------------9
2-1-1　角頻譜的意義------------------------10
2-1-2　角頻譜的傳播------------------------12
2-2　多邊形取樣電腦全像的理論模型------------13
2-2-1　以數值解求得基礎三角形之頻譜----------16
2-2-2　以仿射轉換求得平行三角形之頻譜--------18
2-2-3　以三維旋轉坐標轉換求得傾斜三角形之頻譜-22
2-2-4　全像平面上之物波分布-----------------25
2-2-5　理論模型之運算流程-------------------26
第三章　電腦全像片的生成與數位重建------------28
3-1　電腦全像片之生成-----------------------28
3-1-1 利用Misfit Model 3D 輸入三維物體-----28
3-1-2　電腦全像片之編碼----------------------31
3-1-3　單一多邊形重建範例--------------------32
3-2　透過重建之距離及景深驗證此模型------------33
3-2-1　景深範圍-----------------------------33
3-2-2　改變對焦距離重建之結果----------------36
3-3　修正並改善電腦全像片之重建結果-----------40
3-3-1　亂數相位加入及其影響------------------40
3-3-2　加入表面亮度增加立體資訊--------------50
3-4　電腦全像片之數位重建結果----------------51
3-4-1　三維立體物體之數位重建結果------------51
3-4-2　二維字母之數位重建結果----------------56
3-4-3　電腦全像片生成之運算時間--------------58
第四章　電腦全像片的光學重建與實驗------------59
4-1　空間光調制器---------------------------59
4-1-1　液晶光調制器-------------------------59
4-1-2　LCoS之簡介--------------------------60
4-1-3　液晶相位與振幅調制結果----------------63
4-1-4　LC-R 2500之相位與振幅調制結果---------66
4-1-5　相位調制能力不足----------------------70
4-2　光學實驗結果---------------------------72
第五章　結語--------------------------------75
5-1　結論----------------------------------75
5-2　未來展望-------------------------------76
參考資料------------------------------------77

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