Imaging Systems

Analysis of sampled imaging systems by Richard H. Vollmerhausen

By Richard H. Vollmerhausen

Advances in reliable nation detector arrays, flat panel screens, and electronic photograph processing have brought on an expanding number of sampled imaging items and chances. those expertise advancements offer new possibilities and difficulties for the layout engineer and process analyst--this tutorial's meant reader.

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Further, frequencies not in F(ξ) can exist in the output if they exist in R(ξ). The above derivations illustrate that the sampled output is just a sum of reconstruction functions, and the shape of the reconstruction function is fundamental in establishing the fidelity of the reconstructed signal. The samples control the frequencies in the output only by weighting the exp-j2πξnX phase terms. Frequencies in R(ξ) can be canceled or enhanced by the action of the weighted phase terms. 11 is the easiest and most straightforward way of obtaining the Fourier transform of a sampled image.

7 must not be ignored. The phase relationship between the transfer response and the spurious response depends on the sample phase. This means that the displayed image changes depending on the exact relationship between the sensor and the scene. A small angular movement of the sensor changes the sample phase, and that results in a different display frequency (phase) spectrum. Remember that a sampled imager is not shiftinvariant. That means that, as the sensor is panned across the scene, the displayed image changes depending on sample phase.

First, the process of the lens imaging the scene is linear and therefore superposition holds. The scene is accurately represented by the sum of the individual points of light in the scene. Also, the image is accurately represented by the sum of the blurs resulting from the lens imaging each individual scene point. Second, it is assumed that the shape of the optical blur (that is, the shape of the psf) does not depend on position within the field of view. This is typically not true for optical systems.

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