Linking Analog and Digital Image Processing

What is it about?

Digital image processing always involves analog electro-optical elements, such as image acquisition and display devices, and is, therefore, always hybrid, which requires appropriate linking their mathematical models, characteristics and numerical parameters with those of processing algorithms in digital computers. The chapter addresses this issue. It (i) reviews principles of discrete representation of images and image transforms, (ii) surveys discrete representation of basic image transforms, such as Convolution Transform, Fourier Transform and Fresnel Transform, (iii) discusses principles of building continuous image models from sampled data and describes algorithms of image perfect resampling, numerical differentiation and integration, image reconstruction from sparse and nonuniformly samples data; (iiii) demonstrates how sampling and recording parameters of computer-generated holograms affect reconstruction the holograms in optical setups.

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Why is it important?

Digital image processing always involves analog electro-optical elements, such as image acquisition and display devices, and is, therefore, always hybrid, which requires appropriate linking their mathematical models, characteristics and numerical parameters with those of processing algorithms in digital computers.