Description: The problem of optimal approximation of members
of a vector space by a linear combination of members
of a large overcomplete library of vectors is of importance
in many areas including image and video coding,
image analysis, control theory, and statistics. Finding
the optimal solution in the general case is mathematically
intractable. Matching pursuit, and its orthogonal
version, provide greedy solutions to this problem.
Orthogonal matching pursuit typically provides significantly
better solution compared to the nonorthogonal
version, but requires much more computation. This
paper presents a fast algorithm for implementation of
orthogonal matching pursuit which for many coding
applications has computational complexity very close
to that of the nonorthogonal version.
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