Loading [MathJax]/jax/output/SVG/config.js
Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2024, Volume 534, Pages 107–127 (Mi znsl7479)  
Lifting modifications of spline wavelets with unshifted and shifted supports

A. A. Makarovab, S. V. Makarovaa

a Saint Petersburg State University
b Saint Petersburg Electrotechnical University "LETI"
Full-text PDF (542 kB)
References:
PDF
HTML
Abstract: The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.
Key words and phrases: B-splines, minimal splines, wavelets, spline wavelets, irregular grid, lifting.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00003-24-01
Received: 21.10.2024
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Makarov, S. V. Makarova, “Lifting modifications of spline wavelets with unshifted and shifted supports”, Computational methods and algorithms. Part XXXVII, Zap. Nauchn. Sem. POMI, 534, POMI, St. Petersburg, 2024, 107–127
Citation in format AMSBIB
\Bibitem{MakMak24}
\by A.~A.~Makarov, S.~V.~Makarova
\paper Lifting modifications of spline wavelets with unshifted and shifted supports
\inbook Computational methods and algorithms. Part~XXXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2024
\vol 534
\pages 107--127
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7479}
Linking options:
  • https://www.mathnet.ru/eng/znsl7479
  • https://www.mathnet.ru/eng/znsl/v534/p107
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:34
    Full-text PDF :6
    References:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025