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There are classical algorithms for image denoising which use Euclidean distance, but I have come across the geodesic distance which does the smoothing of image by preserv ... See More
Two dimensions, or one. The one dimensional style goes by: first row from0 to n second from n to n*2 .. .. etc
The correlation between multi-spectral bands will mislead the analyst.
In General, 2D is more common in image processing and the majorty of methods uses 2D (i.e. Filters, wavelet, curvelet, detection and so on)