By Robert D. Fiete
The method in which a picture is shaped, processed, and displayed may be conceptualized as a series of actual occasions referred to as the imaging chain. via mathematically modeling the imaging chain, we will be able to achieve perception into the connection among the digital camera layout parameters and the ensuing snapshot caliber. The mathematical versions is usually used to optimize and verify the layout of a digicam for particular functions earlier than costs are devoted to construction undefined. Modeling the Imaging Chain of electronic Cameras teaches the main parts of the end-to-end imaging chain for digicam platforms and describes how components of the imaging chain are mathematically modeled utilizing the fundamentals of linear platforms arithmetic and Fourier transforms. The emphasis is on normal electronic cameras designed to snapshot incoherent gentle within the noticeable imaging spectrum. The reader will find out how camera layout parameters are on the topic of the weather of the imaging chain and the way they impression the ensuing photo caliber. The publication additionally discusses using imaging chain versions to simulate pictures from assorted camera designs for picture caliber reviews.
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Extra info for Modeling the Imaging Chain of Digital Cameras (SPIE Tutorial Text Vol. TT92) (Tutorial Texts in Optical Engineering)
Sample text
Like all complex numbers, the Fourier transform can be written in terms of magnitude │F()│ and phase (), given by F F e i . 51) and the phase is calculated by Fi . 52) The square of the Fourier transform magnitude │F()│2 is called the power spectrum. 53) and Fi F sin . , f(x) = f(–x), then the Fourier transform will be real and even symmetric; therefore, the Fourier transform will not have the sine terms but only the cosine terms. , f(x) = –f(–x), the Fourier Mathematics 27 transform will be imaginary and odd symmetric; therefore, the Fourier transform will not have the cosine terms but only the sine terms.
47) 26 Chapter 3 where J0(r) is the zeroth order Bessel function of the first kind, r x2 y2 and 2 2 . 48) where Fr() is the real part and Fi() is the imaginary part. Like all complex numbers, the Fourier transform can be written in terms of magnitude │F()│ and phase (), given by F F e i . 51) and the phase is calculated by Fi . 52) The square of the Fourier transform magnitude │F()│2 is called the power spectrum. 53) and Fi F sin .
This is true for all electromagnetic waves, regardless of the wavelength. When electromagnetic waves enter a medium that is not a vacuum, the speed of the propagating wave decreases and the wavelength increases. 6261 × 10–34 J s (joule second). Note that the energy of the photon is proportional to the frequency of the wave and inversely proportional to the wavelength. Electromagnetic radiation is characterized by wavelength as gamma rays, x rays, UV (ultraviolet), visible, IR (infrared), microwaves, or radio waves (Fig.
