6533b835fe1ef96bd129e9cd

RESEARCH PRODUCT

Focal plane array infrared camera transfer function calculation and image restoration

Simone MatteïStefan DatcuLaurent IbosJean-claude FrichetYves Candau

subject

DiffractionImage formationDiagonal formComputer sciencebusiness.industryDetectorGeneral EngineeringImage processingRegularization (mathematics)Atomic and Molecular Physics and OpticsConvolutionTikhonov regularizationMatrix (mathematics)Cardinal pointKernel (image processing)DistortionComputer visionArtificial intelligencebusinessImage restoration

description

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.

https://doi.org/10.1117/1.1645846