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In recent years, several methods of noise cleaning have been devised, of which projective methods have been particularly effective. In our paper, we explain in detail why orthogonal projections are nonoptimal and how the nonorthogonal projections suggested by Grassberger et al., naturally emerge from the SVD method. We show that this approach when combined with a dynamic neighborhood selection yields optimal results of noise cleaning.
This chapter proposes a design of cell circuits for implementing cellular-automaton devices that perform morphological picture processing. To produce the morphological processing, we present the idea of using the silicon functional device, νMOS FET. We designed sample cell circuits for several morphological processing (noise cleaning, edge detection, thinning and shrinking in an image). A low dissipation of about 10 µW per νMOS FET threshold logic circuits can be expected at 1 MHz operation; therefore, 105 or more cells that operate in parallel can be integrated into an LSI.