Construction of wavelet bases that mimic the behaviour of some given operator

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6701, Issue , 2007, Pages

  Khalidov, Ildar ^a   Van De Ville, Dimitri ^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

FUNCTION EVALUATION; IMAGE RECOGNITION; MATHEMATICAL OPERATORS; SIGNAL PROCESSING;

SCALE-COVARIANT OPERATOR; WAVELET CONSTRUCTION;

WAVELET TRANSFORMS;

EID: 42149134737     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.734606     Document Type: Conference Paper

References (6)

1. C. Micchelli, C. Rabut, and F. Utreras, "Using the refinement equation for the construction of pre-wavelets III: Elliptic splines," Numerical Algorithms 1, October 1991.
2. D. Van De Ville, T. Blu, and M. Unser, "Isotropic polyharmonic b-splines: Scaling functions and wavelets," IEEE Trans. Image Process. 14, pp. 1798-1813, November 2005.
3. I. Khalidov and M. Unser, "From differential equations to the construction of new wavelet-like bases," IEEE Trans. Signal Process. 54, pp. 1256-1267, April 2006.
4. 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.
5. I. Khalidov, T. Blu, and M. Unser, "Generalized L-spline wavelet bases," in Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet XI, 5914, pp. 59140F-1-59140F-8, (San Diego CA, USA), July 31-August 3, 2005.
6. d), University of Wisconsin-Madison, 1992.