Suppose we know that Define the ith line integral as
and the ith measured line integral as
is noise. Now define the following
vectors Then in
matrix notation, our measurements are given by where H is an m × n matrix.
(a)Determine
(b)In an ideal world we would find that
(d) In a typical system we may have 256 × 256 pixels in a reconstructed image and 360 × 512 line integral measurements. Given these sizes, explain the main difficulty with the above approach to image
reconstruction.
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