THEORETICAL BACKGROUND OF THE SOLUTIONS OF TASKS OF DIGITAL PROCESSING OF GRAPHIC IMAGES REPRESENTED BY SCALAR FIELDS

Buinevich M V; Maslakov M D; Boltov Yu F

doi:doi:

Home / Journals / Scientific and analytical journal «Vestnik Saint-Petersburg university of State fire service of EMERCOM of Russia» / Volume 2016 Issue 2 / THEORETICAL BACKGROUND OF THE SOLUTIONS OF TASKS OF DIGITAL PROCESSING OF GRAPHIC IMAGES REPRESENTED BY SCALAR FIELDS

THEORETICAL BACKGROUND OF THE SOLUTIONS OF TASKS OF DIGITAL PROCESSING OF GRAPHIC IMAGES REPRESENTED BY SCALAR FIELDS

Submit manuscript Download PDF
Text

To cite

Citations:

THEORETICAL BACKGROUND OF THE SOLUTIONS OF TASKS OF DIGITAL PROCESSING OF GRAPHIC IMAGES REPRESENTED BY SCALAR FIELDS

Journal: SCIENTIFIC AND ANALYTICAL JOURNAL «VESTNIK SAINT-PETERSBURG UNIVERSITY OF STATE FIRE SERVICE OF EMERCOM OF RUSSIA» Volume 2016 № 2 , 2016

Rubrics: MATHEMATIC MODELING, COMPUTER TECHNOLOGIES IN THE THEORY OF COMPLEX PROCESSES MANAGEMENT

Buinevich M V ¹

Maslakov M D ²

Boltov Yu F ³

Author and publication information

Authors:

1. Saint-Petersburg university of State fire service of EMERCON of Russia

2. Saint-Petersburg university of State fire service of EMERCON of Russia

3. Bonch-Bruevich Saint-Petersburg state University of Telecommunications

Type:

Article

Pages:

from 66 to 74

Status:

Published

Received:

12.06.2016

Accepted:

20.06.2016

Published:

25.06.2016

Language:

Russian

Keywords:

digital image, scalar field, the Green's function, the Laplacian, the Helmholtz equations, Lame vector equation

Abstract and keywords

Abstract (English):
The reasonability of representation of digital images in the form of scalar fields is proved. The behavior of the Green's function in a two-dimensional space is researched. The possibility of construction of a field of «singular points» on the basis of the Laplacian is proved. The possibility of construction of a field of dipoles on the basis of the Helmholtz equations and construction of a field of «singular points» on the basis of a vector of the Lame equation are shown.

Keywords:
digital image, scalar field, the Green's function, the Laplacian, the Helmholtz equations, Lame vector equation

Text

Publication text (PDF): Read Download

References

1. Kartan A. Elementarnaya teoriya analiticheskih funkciy odnogo ili neskol'kih kompleksnyh peremennyh. M.: Izd-vo inostrannoy literatury, 1963. 298 s.

2. Boltov Yu.F. Szhatie graficheskoy informacii na osnove ee predstavleniya v vide polevoy struktury // Telekommunikacii. 2008. № 12. S. 30-35.

3. Boltov Yu.F. Obrabotka vizual'noy informacii na osnove ee predstavleniya v vide skalyarnyh ili vektornyh poley: koncepciya, matematicheskie modeli i algoritmy. SPb.: SPbGUT, 2010. 184 c.

4. Vladimirov V.S. Uravneniya matematicheskoy fiziki. 4-e izd. M.: Nauka. Gl. red. fiz.-mat. lit., 1981. 512 s.

5. Landau L.D., Lifshic E.M. Teoreticheskaya fizika. T. 7: Teoriya uprugosti. 4-e izd., ispr. M.: Nauka. Gl. red. fiz.-mat. lit., 1987. 248 s.

6. Boltov Yu.F., Grigor'ev I.N. Pole elementarnogo istochnika voln uprugih deformaciy v tverdom volnovode s pryamougol'nym secheniem // Akusticheskiy zhurnal. 1978. T. 24. Vyp. 3. S. 334-338.

Submit manuscript Download PDF
Text

To cite

Citations:

Confirmation

Регистрация