Some basic linear algebra problems: basis change and projection, are discussed together examples of their applications in signal and image processing.
In typical linear algebra university courses perpendicular projections are only discussed. However, in image processing, e.g. for defining various color spaces, we need non-perpendicular projections. That is why this is the key problem in this tutorial.
This tutorial can be considered as the second part of a tutorial entitled “The Victory of Orthogonality”, given in 2020 by Professor Gilbert Strang at the 24th IEEE Signal Processing Algorithms, Architectures, Arrangements, and Applications (IEEE SPA) Conference, 23rd-25th September 2020, Poznań, Poland.
Instead, the motto of the present tutorial could be: “In captivity of non-orthogonality”.
Co-sponsored by: IEEE Poland Section Life Members Affinity Group
Virtual: https://events.vtools.ieee.org/m/434726
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