A Class of LULU Operators on Multi-Dimensional Arrays

Computer Science – Computer Vision and Pattern Recognition

Scientific paper

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Scientific paper

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.

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