The research of image segmentation algorithms based on Vilenkin-Crestensen functions

Abstract

The problem of Vilenkin-Crestenson functions (VCF) application to process aerospace images is considered. Theoretical grounds of VCF basis and its construction in the field of m-based numeric systems with operation of inversion by Walsh are discribed. Examples of basic functions system building on the basis of VCF with different bases and their application to image segmentation are shown. Avdvantages of using image segmentation algorithm based on VCF basis are discribed. Band pass spectrum restriction possibilities to highlight borders and edge the regions of similar density are given. Different forms of VCF spectrum restriction and its combinations with thier impact to image segmentation results are shown. Technical vision system application of sugested algorithm are shown. VCF basis abbility to highlight objects to be used in correlation-extreme navigation systems are shown. The experimental results of using VCF in comparasing with traditional Fourie basis are given.