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.
Highlights
This paper is connected with general trends to develop aviation technology of the fifth generation as well as with the improvement of computer processing information systems from technical vision systems (TVS) of flight apparatus (FA) that allows to take a fresh look at the mathematical apparatus, which has been so far only of fundamental theoretical interest
Vilenkin-Crestenson functions known since the second half of the 201h century are considered to be such mathematical apparatus
The increased role of vision systems used together with navigation and FA flight parameters and a priori information presented in the form of digital district maps (DDM) together with increased performance of onboard computing means distinguishes the current stage of aviation science and technology development, which is characterized by growing implementation of various management system types [1,2,3] in complex objects the activity of which is related to the analysis of a great number of parameters of constantly changing environment
Summary
This paper is connected with general trends to develop aviation technology of the fifth generation as well as with the improvement of computer processing information systems from technical vision systems (TVS) of flight apparatus (FA) that allows to take a fresh look at the mathematical apparatus, which has been so far only of fundamental theoretical interest. The increased role of vision systems used together with navigation and FA flight parameters and a priori information presented in the form of digital district maps (DDM) together with increased performance of onboard computing means distinguishes the current stage of aviation science and technology development, which is characterized by growing implementation of various management system types [1,2,3] in complex objects the activity of which is related to the analysis of a great number of parameters of constantly changing environment. The task of building autonomous navigation systems and correlation-extreme navigation systems (CESN) and navigation by means of geophysical fields are of the same type
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