Wavelet-based 2D sea surface reconstruction method from nearshore X-band radar image sequences

Pavel Chernyshov, Teodor Vrecica, Sara Nauri, Yaron Toledo

Research output: Contribution to journalArticlepeer-review


A 2D Wavelet-based radar analysis method for sea surface reconstruction is presented. The Wavelet-based Sea Surface Reconstruction (WSSR) method resolves the traditional limitations of the Fourier analysis, such as the requirement of the homogeneity and periodicity of the analyzed image sequences which is hardly found in nearshore wave shoaling conditions. The method is based on a filtration of the corresponding 2D wavelet spectra of the radar images in the pseudo wavevector domain and includes band-pass filtration and phase correction as well as the application of an empirical modulation transfer function. In extending the method to 2D images, the main numerical and computational challenge is to realize the inverse wavelet transform. This challenge is overcome by using the Dirac delta-function as a mother wavelet in the synthesis step to reduce the computational requirements of the integration procedures via an analytical solution. A statistical comparison between the original and the reconstructed surface elevations shows mean absolute error on the level of 6-14% of the significant wave height, which is quite an improvement when compared to conventional 2D Fourier-based techniques (≈27% for the tested case). Another main advantage of the WSSR method is its near real-time capabilities, as it can work on a single or a small number of images unlike conventional methods, which require a few minutes integration time. In addition to various synthetic data consistency checks, the WSSR was employed on real radar data collected in Haifa bay, Israel, with good qualitative agreements in comparison with a near wave buoy.

Original languageEnglish
JournalIEEE Transactions on Geoscience and Remote Sensing
StateAccepted/In press - 2022


  • Image reconstruction
  • Mathematical models
  • Radar
  • Radar imaging
  • Sea surface
  • Surface reconstruction
  • Surface waves
  • X-band radar
  • individual waves retrieval
  • shoaling waves
  • wavelet analysis


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