Influence of Non-ideal Lens Array on Position and Quality of 3D Reconstruction in Integral Images

摘要

Integral imaging (Ⅱ) is a technique capable of displaying 3-D images with continuous parallax in full natural color through micro-lens array. Ⅱ was firstly proposed by Lippmann about one century ago. With recent progress in the theory and micro-lens manufacturing, it is becoming the most practical and prospective 3D display technique in developing next generation three-dimensional TV (3DTV) and visualization fields. Among many problems of II the resolution issue is still the focus. The resolution of the reconstructed 3D image is determined by many parameters. Up to now various factors such as the size and the pitch of lens array, the distance between the apertures, the resolution of the CCD camera and the display device have been analyzed. How the non-ideal display lens array will affect the reconstructed 3-D image in geometrical position and quality is discussed in this paper. The non-ideal display lens array with equal gap and surface refraction in integral image reconstruction are analyzed. The relation between image shift, diffusion length in depth direction and the ideal original position are derived. Analysis results prove that the farther the 3-D image is reconstructed from the lens array, the more significant the image shift and diffusion become. Moreover, a reconstructed 3-D image diffuses in depth direction is more remarkable with the just refractive lens array. Based on the theoretical analysis, preliminary simulated experiments are conducted to confirm our conclusions with optical software ASAP and spot diagram. The results will play an important role in optimum parameters designing and further data processing of the next generation II-based 3DTV.