English

A Class of LULU Operators on Multi-Dimensional Arrays

Computer Vision and Pattern Recognition 2007-12-19 v1

Abstract

The LULU operators for sequences are extended to multi-dimensional arrays via the morphological concept of connection in a way which preserves their essential properties, e.g. they are separators and form a four element fully ordered semi-group. The power of the operators is demonstrated by deriving a total variation preserving discrete pulse decomposition of images.

Cite

@article{arxiv.0712.2923,
  title  = {A Class of LULU Operators on Multi-Dimensional Arrays},
  author = {Roumen Anguelov and Inger Plaskitt},
  journal= {arXiv preprint arXiv:0712.2923},
  year   = {2007}
}
R2 v1 2026-06-21T09:55:15.280Z