Quaternionic Representation of the Riesz Pyramid for Video Magnification
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MIT-CSAIL-TR-2014-009.pdf
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Author(s)
Wadhwa, Neal
Rubinstein, Michael
Durand, Fredo
Freeman, William T.
Advisor(s)
William Freeman
Date Issued
April 26, 2014
Series/Report no.
MIT-CSAIL-TR-2014-009
Abstract
Recently, we presented a new image pyramid, called the Riesz pyramid, that uses the Riesz transform to manipulate the phase in non-oriented sub-bands of an image sequence to produce real-time motion-magnified videos. In this report we give a quaternionic formulation of the Riesz pyramid, and show how several seemingly heuristic choices in how to use the Riesz transform for phase-based video magnification fall out of this formulation in a natural and principled way. We intend this report to accompany the original paper on the Riesz pyramid for video magnification.
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