Rotation Invariance in Gradient and Higher Order Derivative Detectors

@article{Danielsson1990RotationII,
  title={Rotation Invariance in Gradient and Higher Order Derivative Detectors},
  author={Per-Erik Danielsson and Olle Seger},
  journal={Computer Vision, Graphics, and Image Processing},
  year={1990},
  volume={49},
  pages={198-221}
}
This paper addresses the problem on how to evaluate various operators used for estimation of derivatives in images. Such operators are extremely commonly used, for instance to detect edges. For bandlimited correctly sampled signals ideal derivative operators are easy to define. For 2D signals the first derivative operators take the form of a rotation invariant pair. Rotation invariance is also a natural requirement for the non-ideal practically implementable operators of which the Sobel… CONTINUE READING

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