Nonlinear Smoothing and Multiresolution Analysis: 150 by Carl Rohwer
By Carl Rohwer
This monograph provides a brand new conception for research, comparison
and layout of nonlinear smoothers, linking to established
practices. even supposing part of mathematical morphology, the special
properties yield many easy, robust and illuminating results
leading to a singular nonlinear multiresolution research with pulses
that will be as typical to imaginative and prescient as wavelet research is to
acoustics. just like median transforms, they've got the advantages
of a aiding idea, computational simplicity, remarkable
consistency, complete pattern upkeep, and a Parceval-type
identity.
Although the viewpoint is new and strange to so much, the
reader can determine the entire principles and effects with basic simulations
on a working laptop or computer at every one level. The framework constructed seems to
be part of mathematical morphology, however the extra specific
structures and homes yield a heuristic realizing that is
easy to soak up for practitioners within the fields like sign- and
image processing.
The publication ambitions mathematicians, scientists and engineers with
interest in thoughts like pattern, pulse, smoothness and resolution
in sequences.
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This monograph offers a brand new conception for research, comparisonand layout of nonlinear smoothers, linking to establishedpractices. even if part of mathematical morphology, the specialproperties yield many straightforward, strong and illuminating resultsleading to a unique nonlinear multiresolution research with pulsesthat should be as ordinary to imaginative and prescient as wavelet research is toacoustics.
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