Generalized L-spline wavelet bases

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 5914, Issue , 2005, Pages 1-8

  Khalidov, Ildar ^a   Blu, Thierry ^a   Unser, Michael ^a  

^a EPFL   (Switzerland)

Author keywords

Continuous time signal processing; Differential operators; Green's functions; Multiresolution analysis; Multiresolution approximation; Splines; Wavelets

Indexed keywords

APPROXIMATION THEORY; GREEN'S FUNCTION; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; SIGNAL FILTERING AND PREDICTION; SIGNAL PROCESSING; SPLINES;

CONTINUOUS-TIME SIGNAL PROCESSING; DIFFERENTIAL OPERATORS; MULTIRESOLUTION ANALYSIS; MULTIRESOLUTION APPROXIMATION;

WAVELET TRANSFORMS;

EID: 30844437889     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.617123     Document Type: Conference Paper

References (6)

1. S. Mallat, A Wavelet Tour of Signal Processing. Academic Press, San Diego, 1998.
2. M. Unser and T. Blu, "Wavelet theory demystified," IEEE Trans. Signal Process. 51, pp. 470-483, February 2003.
3. M. Unser and T. Blu, "Fractional splines and wavelets," SIAM Review 42. pp. 43-67, March 2000.
4. I. Khalidov and M. Unser, "From differential equations to the construction of new wavelet-like bases," IEEE Trans. Signal Processing, in press.
5. T. Lyche and L. L. Schumaker, "L-spline wavelets," in Wavelets: Theory, Algorithms, and Applications, C. K. Chui, L. Montefusco, and L. Puccio, eds., pp. 197-212, Academic Press, 1994.
6. M. Unser and T. Blu, "Generalized smoothing splines and the optimal discretization of the Wiener filter," IEEE Trans. Signal Process. 53, pp. 2146-2159, June 2005.