Bendlets: A second-order shearlet transform with bent elements

@article{Lessig2019BendletsAS,
  title={Bendlets: A second-order shearlet transform with bent elements},
  author={Christian Lessig and Philipp Christian Petersen and Martin Schafer},
  journal={Applied and Computational Harmonic Analysis},
  year={2019}
}
We introduce bendlets, a shearlet-like system that is based on anisotropic scaling, translation, shearing, and bending of a compactly supported generator. With shearing being linear and bending quadratic in spatial coordinates, bendlets provide what we term a second-order shearlet system. As we show in this article, the decay rates of the associated transform enable the precise characterization of location, orientation and curvature of discontinuities in piecewise constant images. These results… Expand

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