Abstract
An image signal g(x) acquired by the methods described in Chap.7 is a function g : \({{\mathbb{R}}^{2}}\to {{\mathbb{R}}^{Q}}\), which—in the general case—maps the whole image plane to vectorial values, where Q denotes the number of channels (cf. Sec. 1.3). At first, both the domain and the range of the image signal are considered to be continuous. In this case, g(x) is called a continuous image signal or an analog image signal.
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Bibliography
Richard Bamler. Mehrdimensionale lineare Systeme. Springer, 1989.
Jürgen Beyerer. Analyse von Riefentexturen. PhD thesis, Universität Karlsruhe (TH), 1994.
Ronald Bracewell. The Fourier transform and its applications. McGraw-Hill, 3rd edition, 2000.
Elbert Oran Brigham. The fast Fourier transform and its applications. Prentice Hall, 1988.
Ilja Bronshtein, Konstantin Semendyayev, Gerhard Musiol, and Heiner Mühlig. Handbook of Mathematics. Springer, 6th edition, 2015.
Ward Cheney. Analysis for applied mathematics. Springer, 2001.
Ole Christensen. Frames and Bases – An Introductory Course. Birkhäuser, 2008.
James Cooley and John Tukey. An algorithm for the machine calculation of complex Fourier series. Mathematics of Computation, 19(90):297–301, 1965.
Eberhard Hänsler. Statistische Signale: Grundlagen und Anwendungen. Springer, 3rd edition, 2001.
Harro Heuser. Funktionalanalysis – Theorie und Anwendung. Teubner, 4th edition, 2006.
Harro Heuser. Lehrbuch der Analysis, volume 2. Vieweg+Teubner, 14th edition, 2008.
Bernd Jähne. Digital image processing. Springer, 6th edition, 2005.
Karl-Dirk Kammeyer and Kristian Kroschel. Digitale Signalverarbeitung – Filterung und Spektralanalyse. Vieweg+Teubner, 7th edition, 2009.
Uwe Kiencke, Michael Schwarz, and ThomasWeickert. Signalverarbeitung – Zeit-Frequenz-Analyse und Schätzverfahren. Oldenbourg, 2008.
Robert Lalla. Verfahren zur Auswertung von Moiréaufnahmen technischer Oberflächen. PhD thesis, Universität Karlsruhe (TH), 1993.
Alan Oppenheim and Ronald Schafer. Discrete-time signal processing. Pearson, 3rd edition, 2010.
Athanasios Papoulis and Unnikrishna Pillai. Probability, random variables and stochastic processes. McGraw-Hill, 4th edition, 2002.
Fernando Puente León and Holger Jäkel. Signale und Systeme. De Gruyter Oldenbourg, Berlin, 6th edition, 2015.
Fernando Puente León and Uwe Kiencke. Messtechnik – Systemtheorie für Ingenieure und Informatiker. Springer, 9th edition, 2012.
Fernando Puente León and Norbert Rau. Detection of machine lead in ground sealing surfaces. Annals of the CIRP, 52(1):459–462, 2003.
Alan Stuart and J. Keith Ord. Kendall’s advanced theory of statistics, volume 1, Distribution theory. Arnold, 6th edition, 2004.
Ulrich Tietze, Christoph Schenk, and Eberhard Gamm. Halbleiter-Schaltungstechnik. Springer, 13th edition, 2010.
Scott Tyo and Richard Olsen. PC-based display strategy for spectral imagery. In IEEE Workshop on Advances in Techniques for Analysis of Remotely Sensed Data, pages 276–281, 2003.
Wolfgang Walter. Einführung in die Theorie der Distributionen. Bibliographisches Institut, 3rd edition, 1994.
Bernard Widrow, István Kollár, and Ming-Chang Liu. Statistical theory of quantization. IEEE Transactions on Instrumentation and Measurement, 45(2):353–361, April 1996.
HellmuthWolf. Nachrichtenübertragung: eine Einführung in die Theorie. Springer, 2nd edition, 1987.
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Beyerer, J., Puente León, F., Frese, C. (2016). Image Signals. In: Machine Vision. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47794-6_8
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