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Title: METHOD FOR EXTRACTING INFORMATION ON THE TOPOLOGY OF AN N-DIMENSIONAL MAP
METHOD FOR EXTRACTING INFORMATION ON THE TOPOLOGY OF AN N-DIMENSIONAL MAP

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D.Andrianov;S. Eremeev; Y.Kovalev
10.5593/sgem2020/2.1/s08.066
1314-2704
978-619-7603-06-4
English
20
2.1
Geoinformatics
Currently there are many spatial structures for storing information about raster and vector
maps. There are many algorithms for calculating map information, each of which is
applicable to a specific industry. Now there is a problem of the lack of a universal
algorithm for obtaining information about the maps, which will allow you to store its
scale, time of image creation, deformation, various rotations and other topological
features of objects in the images.
The article sets the task of developing a method for extracting information about the
topology of an n-dimensional map. The method allows you to extract information
obtained using simplicial complexes and methods of persistent homology. Various
images are processed at different scales, at different angles and for different times. The
result of the algorithm is a structure that stores all the extracted information from the
maps. This structure allows you to get the necessary information about the map or object
on it at any time.
In this paper, an analysis is made of various approaches to calculating and structuring
information about maps and the advantages and disadvantages are identified.
In the work various satellite images with spatial objects were investigated, their analysis
and extraction of topological information was performed.
The developed method allows you to get the following information from maps: scale,
time, deformation of objects and any other topological changes. More than 100 satellite
images were analyzed.
This method can be used to analyze satellite images of the Arctic, images of buildings
and various natural areas. It will allow you to structure the information on the images and
objects on them.
conference
https://www.sgem.org/index.php/jresearch-article?citekey=Andrianov20208515522
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20th International Multidisciplinary Scientific GeoConference SGEM 2020
20th International Multidisciplinary Scientific GeoConference SGEM 2020, 18 - 24 August, 2020
Proceedings Paper
STEF92 Technology
International Multidisciplinary Scientific GeoConference-SGEM
SWS Scholarly Society; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci & Arts; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; European Acad Sci, Arts & Letters; Acad Fine Arts Zagreb Croatia; C
515-522
18 - 24 August, 2020
website
cdrom
7027
geographic information systems; topology; n-dimensional objects;
persistent homology; barcode.