Nonlinear Multiscale Filtering Using Mathematical Morphology

Morales, Aldo W.; Acharya, Raj

doi:10.1109/CVPR.1992.223133

Nonlinear Multiscale Filtering Using Mathematical Morphology

Aldo W. Morales, Raj Acharya

CVPR 1992 pp. 572-578

doi:10.1109/CVPR.1992.223133 /cvpr/1992/morales1992cvpr-nonlinear/

Abstract

A multiscale filtering scheme based on the three Matheron axioms for morphological openings is developed. It is shown that opening a signal with a gray scale operator does not introduce additional zero-crossings as one moves to coarser scales. Within this framework, the problem of choosing an appropriate structuring element is studied. In order to obtain a measure of the performance of different structuring elements, the statistical properties of gray scale opening are studied, using a powerful tool in mathematical morphology, namely, basis functions.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>

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Cite

Text

Morales and Acharya. "Nonlinear Multiscale Filtering Using Mathematical Morphology." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992. doi:10.1109/CVPR.1992.223133

Markdown

[Morales and Acharya. "Nonlinear Multiscale Filtering Using Mathematical Morphology." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 1992.](https://mlanthology.org/cvpr/1992/morales1992cvpr-nonlinear/) doi:10.1109/CVPR.1992.223133

BibTeX

@inproceedings{morales1992cvpr-nonlinear,
  title     = {{Nonlinear Multiscale Filtering Using Mathematical Morphology}},
  author    = {Morales, Aldo W. and Acharya, Raj},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {1992},
  pages     = {572-578},
  doi       = {10.1109/CVPR.1992.223133},
  url       = {https://mlanthology.org/cvpr/1992/morales1992cvpr-nonlinear/}
}