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- Publisher
- SPIE
- Copyright
- Copyright © 2004 Society of Photo-Optical Instrumentation Engineers
- ISSN
- 0091-3286
- eISSN
- 1560-2303
- DOI
- 10.1117/1.1645846
- Publisher site
- See Article on Publisher Site
Abstract
Infrared images often present distortions induced by the measurement system. Image processing is thus an essential part of infrared measurements. A distortion model based on a convolution product is presented. The analytical form of the convolution kernel has been obtained from an image formation theory, along with an analysis of the sampling of the focal plane array camera detector’s matrix. Image restoration is an ill-posed problem, and its solution can be obtained using regularization methods. In this work, image restoration is performed using a variation of Tikhonov regularization that makes use of the particular form of the convolution kernel matrix, which is built as a block-circulant matrix that admits a diagonal form in the 2-D Fourier space. The restoration procedure is used to restore a knife-edge infrared source image. © 2004 Society of Photo-Optical Instrumentation Engineers.
Journal
Optical Engineering – SPIE
Published: Mar 1, 2004
Keywords: infrared imaging; deconvolution; image restoration; Fourier optics; aberrations; point spread function; modulation transfer function; diffraction