Chapter 6
Invariants to Image Blurring
Jan Flusser,
Tomáš Suk,
Barbara Zitová,
Jan Flusser
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorTomáš Suk
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorBarbara Zitová
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorBook Author(s):Jan Flusser,
Tomáš Suk,
Barbara Zitová,
Jan Flusser
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorTomáš Suk
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorBarbara Zitová
Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, Czech Republic
Search for more papers by this authorSummary
Heavy image corruption may be caused by graylevel/color degradations that influence the intensity values. This chapter considers the degradations which are caused by such factors as a wrong focus, camera and/or scene motion, camera vibrations, and by taking images through a turbulent medium such as atmosphere or water. It presents the derivation of blur invariants by means of projection operators in the Fourier domain and introduces projection operators as a general framework of blur invariants of any kind, regardless of the point-spread function (PSF) type and even regardless of the image dimension. The chapter shows that all existing blur invariants, both in Fourier as well as in the moment domain, are special cases of the invariants obtained by projection operators. It also introduces the projection operators which create general theoretical frameworks of blur invariants. The chapter discusses the particular cases of centrosymmetric, circular, N-fold, dihedral, directional, and Gaussian PSF.
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