Morphological operators on the unit circle

@article{Hanbury2001MorphologicalOO,
  title={Morphological operators on the unit circle},
  author={Allan Hanbury and Jean Paul Fr{\'e}d{\'e}ric Serra},
  journal={IEEE transactions on image processing : a publication of the IEEE Signal Processing Society},
  year={2001},
  volume={10 12},
  pages={
          1842-50
        }
}
Images encoding angular information are common in image analysis. Examples include the hue band of color images, or images encoding directional texture information. Applying mathematical morphology to image data distributed on the unit circle is not immediately possible, as the unit circle is not a lattice. Three approaches to solving this problem are presented. First, difference-based operators are studied (e.g., gradient, top-hat). Second, a definition of grouped circular data is suggested… CONTINUE READING

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