Lens Raster as a Source of Distortions in Integral Photography

Abstract

Analysis of methods for recording and reproducing a three-dimensional image allows to distinguish two different approaches. The fi approach consists in formation of stereoscopic images, the second one provides the formation of an optical object model and includes particularly a group of integral photography methods .
The use of integral photography methods for recording and reproducing volumetric images is relevant due to the lack of fl inherent for stereoscopic methods and relative simplicity of technical implementation. Lens raster used in this method is a possible source of image distortion. This paper aim is to determine the range of parameters of the lens system, namely, the allowable values of the pitch of the lens raster, providing distortions absence caused this raster.
Types of possible distortions and sources of their occurrence are indicated. The requirements for the pitch of the lenticular raster are formulated, based on conditions of false information absence, absence of discontinuity of the image in depth and in the transverse direction, and invisibility of lens elements of the reproduction matrix.
Studies shoed that the lenticular pitch is limited by the four inequalities, three of which limit the pitch value from below, and the fourth one from above. A set of conditions limiting the step of the lens matrix was analyzed. The boundaries of allowable step values depend on four groups of parameters: raster dimensions, location of the subjects, reproduction and observation parameters. Result of the method usage as a dependence of the allowable range of the pitch of the lenticular raster on transverse coordinate of the recorded point with fi values of other parameters is presented.