Quaternionic Representation of the Riesz Pyramid for Video Magnification
Quaternionic Representation of the Riesz Pyramid for Video Magnification
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DOI：
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发表时间：
2014-04
影响因子：
2.4
通讯作者：
N. Wadhwa;Michael Rubinstein;F. Durand;W. Freeman
中科院分区：
文献类型：
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作者：
N. Wadhwa;Michael Rubinstein;F. Durand;W. Freeman
最近，我们提出了一种新的图像金字塔，称为Riesz金字塔，它使用Riesz变换来操纵图像序列的非定向子带中的相位，以产生实时运动放大视频。在本报告中，我们给出了Riesz金字塔的四元数公式，并展示了如何使用Riesz变换进行基于相位的视频放大的几个看似启发式的选择如何以自然和原则的方式脱离该公式。我们打算将这份报告与关于里兹金字塔的原始论文一起进行视频放大。
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.