6533b7d2fe1ef96bd125f579

RESEARCH PRODUCT

Periodic Polynomial Splines

Amir AverbuchPekka NeittaanmäkiValery A. Zheludev

subject

AlgebraSpline (mathematics)Reciprocal polynomialComputer Science::GraphicsBox splineWaveletComputer scienceSpline waveletCircular convolutionMonic polynomialMathematics::Numerical AnalysisMatrix polynomial

description

In this chapter, the spaces of periodic polynomial splines and the Spline Harmonic Analysis (SHA) in these spaces are briefly outlined. The stuff of this chapter is used for the design of periodic discrete-time splines and discrete-time-spline-based wavelets and wavelet packets. For a detailed description of the subject we refer to (Averbuch, Neittaanmaki and Zheludev, Spline and Spline Wavelet Methods with Applications to Signal and Image Processing, Springer, Berlin, 2014) [1]. Periodic polynomial splines provide an example of mixed discrete-continuous circular convolution.

yearjournalcountryeditionlanguage
2018-06-20
https://doi.org/10.1007/978-94-017-8926-4_4