利用三維圖學模型製作電腦全像片之研究

A Computer-generated Hologram Using 3D Graphic Model

郭立傑(Li-Chieh Kuo)

指導教授 ： 黃俊堯

共同指導教授 ： 鄭超仁(Chau-Jern Cheng)

國立臺北大學/電機資訊學院/電機工程研究所/碩士(2009年)

摘要

為了利用由互相傾斜之二維多邊形所組成的三維電腦圖學模型產生全像片，本論文以修改過的Fresnel-Kirchhoff繞射公式為基礎，提出並證明將傾斜物件平面計算至全像片的方法。修改過後可用於處理傾斜平面的Fresnel-Kirchhoff繞射公式在數值計算上能夠利用傅立葉轉換法執行。由實驗結果可得知，使用本論文所提出之方法製作出的全像片能重建出具有正確深度資訊的三維影像，且此法所受到的取樣限制比起使用角頻譜法來得小。

關鍵字

全像術 ； 電腦全像片 ； Fresnel繞射 ； 三維電腦圖學

並列摘要

For generating holograms from 3D computer graphic (CG) models composed of non-parallel 2D polygons, a computational method conveying from tilted object planes to the hologram based on the modified Fresnel-Kirchhoff diffraction formula is proposed and demonstrated. The modified Fresnel-Kirchhoff diffraction formula with tilted plane can be numerically implemented using the Fresnel transformed approach. The experimental results show that the hologram generated by the proposed approach can reconstruct 3D image with correct depth cues and suffers less sampling restriction compared to that by the angular spectrum approach.

並列關鍵字

Holography ； Computer-generated hologram ； Fresnel diffraction ； Three-dimensional computer graphics

參考文獻

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