基于共形对应的球面图像的计算全息图

研究了基于共形对应的球面图像的计算全息图(CGH)的生成和重现.通常,当用平面波照射全息图时,所重现的图像一般显示在平面上.共形对应在计算机图形学中被广泛应用,它可以将平面图像和任意曲面对应.相对于简单的坐标变换,共形对应关系具有很多优点,如它可以保持变换前后图像之间的几何形状不变性等.将共形对应引入计算机全息图的生成过程中,利用平面与球面的共形对应关系,生成显示于球面的二维图像的计算全息图,并由所生成全息图得到原始图像,从而实现整个全息记录和重现过程的计算机模拟.二维图像重现于球面实际上了产生三维显示,因此上述方法在从计算全息图重现三维图像方面起到重要的作用.

Computer generated hologram of images on spherical surface by conformal maps

Generation and reconstruction of computer-generated hologram(CGH) of images display on spherical surface by use of conformal maps is presented. Usually the reconstructed image is located on a planar plane when the hologram is illuminated by a plane wave. Conformal maps are corresponding relationship between planar and curved surface and widely used in computer graphic. Comparing with simply coordinates transversing, Conformal Maps have many advantages, such as they make the invariability of geometric form between origin images and reconstructed one. We combined conformal maps with the generation of CGH, realized the generation of computer-generated hologram of a two dimensional (2-D) image which displays on spherical surface and reconstructed the original image from generated CGH, therefore, realized the computer simulation of holographic record and reconstruct process. As reconstruction of a 2-D image on a spherical surface actually creates a three dimensional (3-D) displays, this technique may plays an important role in attempts at reconstruction of 3-D images from CGHs.