Design of a model of a sensor based on the Shape from focus method is presented. The model uses polychromatic point spread functions of a generalized aperture function of lens and their convolution with an ideal image. The model approaches the reality and allows one to employ parameters of real components of the corresponding sensor, e.g. a spectrum of a light source, a dispersion function of a real imaging optical system and spectral sensitivity of a real light sensitive sensor. The model enables to study accuracy and reliability of the determination of the object’s surface topography by means of the Shape from focus method.
In this contribution the fractal speckle effect is simulated by means of a modification of the proposed numerical model of propagation of ordinary speckle effect. The modification is based on an illumination of a rough object surface by a diffractal – a wave diffracted on an amplitude fractal transparent. The correlation properties of simulated fractal speckle propagated in free space at various angles of observation are investigated with regard to a fractal dimension of the amplitude transparent.
There is presented a simulation of the speckle propagation by means of a computer in this paper. The model is designed
for in-plane translation of an object generating speckle field. There is used the Fresnel-Kirchhof diffraction theory for
description of the speckle field propagation. The presented numerical model involves detection of speckle pattern at any
observation angles. The model is verified through a method of correlation of speckle fields which results are compared to
ones provided by theoretical relations.