Deconvolution
The inversion of a Convolution equation, i.e., the solution for 
of an equation of the form
given
and 
, where 
is the Noise and 
denotes the Convolution. Deconvolution isill-posed and will usually not have a unique solution even in the absence of Noise.Linear deconvolution Algorithms include Inverse Filtering andWiener Filtering. Nonlinear Algorithms include the CLEAN Algorithm,Maximum Entropy Method, and LUCY.
See also CLEAN Algorithm, Convolution, LUCY, Maximum Entropy Method, Wiener Filter
References
Cornwell, T. and Braun, R. ``Deconvolution.'' Ch. 8 in Synthesis Imaging in Radio Astronomy: Third NRAO Summer School, 1988 (Ed. R. A. Perley, F. R. Schwab, and A. H. Bridle). San Francisco, CA: Astronomical Society of the Pacific, pp. 167-183, 1989. Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Convolution and Deconvolution Using the FFT.'' §13.1 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 531-537, 1992.
- Separating Edge
- Separating Family
- Separation
- Separation of Variables
- Separation Theorem
- Separatrix
- Septendecillion
- Septillion
- Sequence
- Sequency
- Sequency Function
- Sequential Graph
- Series
- Series Expansion
- Series Inversion
- Series Multisection
- Series Reversion
- Serpentine Curve
- Serret-Frenet Formulas
- Set
- Set Difference
- Set Partition
- Set Theory
- Sexagesimal
- Sexdecillion