deconvolution
Sign in to savethumb|right|Before and after deconvolution of an image of the lunar crater Copernicus (lunar crater)|Copernicus using the Richardson-Lucy algorithm.
Article
12 sectionsContents
- Description
- Raw deconvolution
- Deconvolution with noise
- Applications
- Seismology
- Optics and other imaging
- Radio astronomy
- Biology, physiology and medical devices
- Absorption spectra
- Fourier transform aspects
- See also
- References
thumb|right|Before and after deconvolution of an image of the lunar crater Copernicus (lunar crater)|Copernicus using the Richardson-Lucy algorithm.
In mathematics, deconvolution is the inverse of convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a deconvolution method with a certain degree of accuracy. Due to the measurement error of the recorded signal or image, it can be demonstrated that the worse the signal-to-noise ratio (SNR), the worse the reversing of a filter will be; hence, inverting a filter is not always a good solution as the error amplifies. Deconvolution offers a solution to this problem.