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Transformation of point spread functions on an individual pixel scale

Baumgartner, Andreas and Köhler, Claas Henning (2020) Transformation of point spread functions on an individual pixel scale. Optics Express, 28 (26), pp. 38682-38697. Optical Society of America. doi: 10.1364/oe.409626. ISSN 1094-4087.

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Official URL: https://www.osapublishing.org/oe/fulltext.cfm?uri=oe-28-26-38682&id=444368


In some types of imaging systems, such as imaging spectrometers, the spectral and geometric pixel properties like center wavelength, center angle, response shape and resolution change rapidly between adjacent pixels. Image transformation techniques are required to either correct these effects or to compare images acquired by different systems. In this paper we present a novel image transformation method that allows to manipulate geometric and spectral properties of each pixel individually. The linear transformation employs a transformation matrix to associate every pixel of a target sensor $B$ with all related pixels of a source sensor $A$. The matrix is derived from the cross-correlations of all sensor $A$ pixels and cross-correlations of sensor $A$ and sensor $B$ pixels. We provide the mathematical background, discuss the propagation of uncertainty, demonstrate the use of the method in a case study, and show that the method is a generalization of the Wiener deconvolution filter. In the study, the transformation of images with random, non-uniform pixel properties to distortion-free images leads to errors that are one order of magnitude smaller than those obtained with a conventional approach.

Item URL in elib:https://elib.dlr.de/139768/
Document Type:Article
Title:Transformation of point spread functions on an individual pixel scale
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Baumgartner, AndreasAndreas.Baumgartner (at) dlr.dehttps://orcid.org/0000-0002-8495-5407
Köhler, Claas Henningclaas.koehler (at) dlr.dehttps://orcid.org/0000-0003-0127-935X
Date:8 December 2020
Journal or Publication Title:Optics Express
Refereed publication:Yes
Open Access:Yes
Gold Open Access:Yes
In ISI Web of Science:Yes
DOI :10.1364/oe.409626
Page Range:pp. 38682-38697
Publisher:Optical Society of America
Keywords:camera, hyperspectral, imaging spectrometer, resampling, point spread function, PSF matching, PSF homogenization, optical distortion correction, smile, keystone, HySpex, CHB
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Earth Observation
DLR - Research area:Raumfahrt
DLR - Program:R EO - Earth Observation
DLR - Research theme (Project):R - Optical remote sensing, Vorhaben Spectroscopic Methods in Remote Sensing (old), R - Remote Sensing and Geo Research
Location: Oberpfaffenhofen
Institutes and Institutions:Remote Sensing Technology Institute > Experimental Methods
Deposited By: Baumgartner, Andreas
Deposited On:17 Dec 2020 19:05
Last Modified:15 Mar 2021 15:02

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