6533b870fe1ef96bd12cf0ce

RESEARCH PRODUCT

Periodic Discrete Splines

Valery A. ZheludevPekka NeittaanmäkiAmir Averbuch

subject

Harmonic analysisSmoothing splineSpline (mathematics)Computer Science::GraphicsPolynomial splinesComputationZak transformFast Fourier transformApplied mathematicsExponential splineMathematics::Numerical AnalysisMathematics

description

Periodic discrete splines with different periods and spans were introduced in Sect. 3.4. In this chapter, we discuss families of periodic discrete splines, whose periods and spans are powers of 2. As in the polynomial splines case, the Zak transform is extensively employed. It results in the Discrete Spline Harmonic Analysis (DSHA). Utilization of the Fast Fourier transform (FFT) enables us to implement all the computations in a fast explicit way.

yearjournalcountryeditionlanguage
2014-01-01
https://doi.org/10.1007/978-94-017-8926-4_13