Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Wavelet Decomposition for Generalized Haar Spaces. / Dem'yanovich, Yuri K.; Safonova, Tatjana A.; Terekhov, Mikhail A.
Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. стр. 121-125 9402623 (Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
TY - GEN
T1 - Wavelet Decomposition for Generalized Haar Spaces
AU - Dem'yanovich, Yuri K.
AU - Safonova, Tatjana A.
AU - Terekhov, Mikhail A.
N1 - Publisher Copyright: © 2020 IEEE.
PY - 2020/7
Y1 - 2020/7
N2 - This paper is devoted to the numerical information flows and piecewise constant splines connected with them. The spline spaces and their wavelet decompositions are discussed. The approximation relations for such splines turn into the decomposition of the unit. In the case of a uniform grid, the coordinate splines of this type are often called the Haar functions. The numerical flows are associated with irregular spline grids. The spaces of the piecewise constant splines associated with an irregular grid are called spaces of the Haar type. This paper discusses the calibration relations, embedding of the Haar type spaces and their wavelet decompositions. The structure of the decomposition/reconstruction algorithms are done. The cases of the finite and the infinite flows are considered.
AB - This paper is devoted to the numerical information flows and piecewise constant splines connected with them. The spline spaces and their wavelet decompositions are discussed. The approximation relations for such splines turn into the decomposition of the unit. In the case of a uniform grid, the coordinate splines of this type are often called the Haar functions. The numerical flows are associated with irregular spline grids. The spaces of the piecewise constant splines associated with an irregular grid are called spaces of the Haar type. This paper discusses the calibration relations, embedding of the Haar type spaces and their wavelet decompositions. The structure of the decomposition/reconstruction algorithms are done. The cases of the finite and the infinite flows are considered.
KW - calibration relations
KW - generalized Haar spaces
KW - irregular grids
KW - splines
KW - wavelet decomposition
UR - http://www.scopus.com/inward/record.url?scp=85105327924&partnerID=8YFLogxK
U2 - 10.1109/CSCC49995.2020.00029
DO - 10.1109/CSCC49995.2020.00029
M3 - Conference contribution
AN - SCOPUS:85105327924
T3 - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
SP - 121
EP - 125
BT - Proceedings - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 24th International Conference on Circuits, Systems, Communications and Computers, CSCC 2020
Y2 - 19 July 2020 through 22 July 2020
ER -
ID: 85827108