On the convergence of derivatives of B-splines to derivatives of the Gaussian function

Computational and Applied Mathematics

Volumn 27, Issue 1, 2008, Pages 79-92

  Brinks, Ralph ^a  

^a PHILIPS RESEARCH LABORATORIES   (Germany)

Author keywords

B splines; Continuous wavelet transform; Gaussian function; Mexican hat wavelet; Scalogram

Indexed keywords

INTERPOLATION; WAVELET TRANSFORMS;

B SPLINES; B-SPLINE WAVELET; CONTINUOUS WAVELET TRANSFORM; GAUSSIAN FUNCTIONS; MEXICAN HAT WAVELET; SCALOGRAM;

GAUSSIAN DISTRIBUTION;

EID: 52949096440     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1590/s1807-03022008000100005     Document Type: Article

References (5)

1. M. Unser, A. Aldroubi and M. Eden, On the Asymptotic Convergence of B-Spline Wavelets to Gabor Functions. IEEE Trans. Inform. Theo., 38(2) (1992).
2. E.M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces. Princeton University Press, Princeton, 1975.
3. C. de Boor, A Practical Guide to Splines. Springer-Verlag, New York, 1978.
4. I. Daubechies, Ten Lectures on Wavelets. SIAM, Philadelphia, 1992.
5. C.K. Chui, An Introduction to Wavelets. Academic Press, Boston, San Diego, 1992.