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If an edge is going to be really there and not
some accident of brightness, then it ought to
have
some extension in space and also in colour, that
is to say, if we think we have a sharp change
in
colour at some point, then neighbouring pixels
ought to show similar changes. This means that
it
suffices to ensure that a putative edge in the
red image ought to have spatial extension, likewise
the green and blue images. So edge detection is
slightly easier, because there are often
simultaneous changes in more than one of the greyscale
images at the same pixel. It would not be
surprising if there were changes in the different
greyscale images at nearby pixels, and smarter
methods can look for this effect. Again, this
sort of issue belongs in Image Processing courses,
but it is worth doing a little meditation on what
is possible before reading the books or attending
the courses.
Mike Alder
9/19/1997