Quaternionic Representation of the Riesz Pyramid for Video Magnification
Author(s)
Wadhwa, Neal; Rubinstein, Michael; Durand, Fredo; Freeman, William T.![Thumbnail](/bitstream/handle/1721.1/86300/MIT-CSAIL-TR-2014-009.pdf.jpg?sequence=7&isAllowed=y)
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Vision
Advisor
William Freeman
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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.
Date issued
2014-04-26Series/Report no.
MIT-CSAIL-TR-2014-009
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