𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Calculation of coefficients of a cardinal B-spline

✍ Scribed by Gradimir V. Milovanović; Zlatko Udovičić

Book ID
104000943
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
236 KB
Volume
23
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

It is well known that a cardinal B-spline of order m, m ∈ N, is a piecewise polynomial function. In this note we propose an effective method for calculating the coefficients of polynomials which constitute a cardinal B-spline.

📜 SIMILAR VOLUMES

A Class of Cardinal Trigonometric Spline
A Class of Cardinal Trigonometric Splines
✍ Sharma, A.; Tzimbalario, J. 📂 Article 📅 1976 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 757 KB
An Analysis of Cardinal Spline-Wavelets
An Analysis of Cardinal Spline-Wavelets
✍ C.K. Chui; J.Z. Wang 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 387 KB

The \(m\) th order cardinal \(B\)-spline-wavelet (or simply, \(B\)-wavelet) \(\psi_{m}\) is known to generate orthogonal decompositions of any function in \(L^{2}(-\infty, \infty)\). Since \(\psi_{m}\) is usually .considered as a bandpass filter, a wavelet series \(g=\sum c, \psi_{m}(\cdots)\) may b