By Richard H. Vollmerhausen
Advances in sturdy country detector arrays, flat panel screens, and electronic picture processing have triggered an expanding number of sampled imaging items and probabilities. those expertise advancements offer new possibilities and difficulties for the layout engineer and procedure analyst--this tutorial's meant reader.
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Additional resources for Analysis of sampled imaging systems
4 Frequency domain filtering in an optical system. Inverse Transform Output Spectrum 28 Chapter 2 The transform of the point spread function gives the transfer function of the system. Next, the output spectrum is given by the input spectrum multiplied by the transfer function. Finally, the output image is found by taking the inverse transform of the output spectrum. The resulting image is identical to that given by the spatial convolution of the point spread function in the space domain. 4, the DC component of the input, transfer, and output frequency spectrums has been removed so that the higher frequency components can be viewed.
22 relates the displayed image spectrum to the spectrum of the pre-sampled function, the sample spacing, the sample phase, and the display MTF. 22 quantitatively describes the relationship between the various stages of the sampling process. This equation allows us to explore design tradeoffs in a sampled imager. BIBLIOGRAPHY Bracewell, R. , The Fourier Transform and Its Applications, McGraw-Hill, New York, NY, 1986. , Linear Systems, Fourier Transforms and Optics, Wiley: New York, NY, 1978. Goodman, J.
The response function is the Fourier transform of the image formed on the display by a point source in the scene. The procedure is identical to that used with non-sampled systems, but the result will be different because sampled systems are not shift-invariant. The function being sampled is h(x), the point spread function of the presampled image. 4: ∞ Rsp (ξ) = Pix (ξ) H (ξ − nν )e − j 2 π ( ξ− nν ) d . 6) n =−∞ The replicas of H(ξ) which are centered at two or more times the sample frequency are normally filtered out by the display and eyeball MTF because of their high frequency content.