FRESNEL Quick Guide

Example 6. Spatial Frequency Filtering

Spatial frequency filtering is an operation by which one removes (or passes preferentially) certain desired spatial frequencies by placing filters in the Fourier transform plane. The principal kinds of filters that one encounters in the frequency filtering techniques are:
Low-Pass Filters. These filters pass only low frequencies, i.e. those frequency components lying near the axis. A typical example of their application is suppression of the high frequency beam spatial modulation using Spatial Filters in High Power Laser Systems.
High-Pass Filters. These filters allow the high frequencies pass through while the low frequencies are stopped. Such filters are used in edge enhancement. An example of the scheme and the result of modeling are given below (results can be reproduced using contour.scm and contour.pls.

The scheme can be run with FRESNEL Demo using the discretization 128x128 sampling points that will provide the precision slightly worse than 10-3. The discretization 512x512 gives the precision close to 10-5.

Object Image

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