Manifold denoising based on spectral graph wavelets

@article{Deutsch2016ManifoldDB,
  title={Manifold denoising based on spectral graph wavelets},
  author={Shay Deutsch and Antonio Ortega and G{\'e}rard G. Medioni},
  journal={2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)},
  year={2016},
  pages={4673-4677}
}
We propose a new framework for manifold denoising using the Spectral Graph Wavelet transform, which enables non-iterative denoising directly in the graph frequency domain, an approach inspired by conventional wavelet-based signal denoising methods. We theoretically justify our approach, based on the fact that for smooth manifolds the coordinate information tends to create energy in the low spectral graph wavelet coefficients, while the noise affects all frequency bands in a similar way… CONTINUE READING

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