Signal, Image and Video Processing

, Volume 12, Issue 8, pp 1505–1512 | Cite as

A new video magnification technique using complex wavelets with Radon transform application

  • Omar M. FahmyEmail author
  • Gamal Fahmy
  • Mamdouh F. Fahmy
Original Paper


Magnifying micro-movements of natural videos that are undetectable by human eye has recently received considerable interests, due to its impact in numerous applications. In this paper, we use dual tree complex wavelet transform (DT-CWT), to analyze video frames in order to detect and magnify micro-movements to make them visible. We use DT-CWT, due to its excellent edge-preserving and nearly-shift invariant features. In order to detect any minor change in object’s spatial position, the paper proposes to modify the phases of the CWT coefficients decomposition of successive video frames. Furthermore, the paper applies Radon transform to track frame micro-movements without any temporal band-pass filtering. The paper starts by presenting a simple technique to design orthogonal filters that construct this CWT system. Next, it is shown that modifying the phase differences between the CWT coefficients of arbitrary frame and a reference one results in image spatial magnification. This in turn, makes these micro-movements seen and observable. Several simulation results are given, to show that the proposed technique competes very well to the existing micro-magnification approaches. In fact, as it manages to yield superior video quality in far less computation time.


Complex wavelets Phase video magnification Radon transform 



Funding was provided by Deanship of Scientific Research, Prince Sattam Bin abdul Aziz University (Grant No. Project 2017/01/7140).

Supplementary material

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Supplementary material 1 (avi 20349 KB)
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Supplementary material 2 (avi 29122 KB)

Supplementary material 3 (avi 27495 KB)


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Electrical Engineering DepartmentFuture University in Egypt (FUE)CairoEgypt
  2. 2.Electrical Engineering DepartmentPrince Sattam Bin Abdulaziz UniversityAl-SaihSaudi Arabia
  3. 3.Electrical Engineering DepartmentAssiut University in EgyptAsyûtEgypt

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