# Parametric Segmentation

## Short description

This segmentation method relies on a parametric representation of the object contour.
The solution is expressed as the minimizer of an energy which general form is a linear combination
of a line integral along the contour, a domain integral on the contour interior, and a domain
integral on the contour exterior. The energy is therefore a function of the parameters
defining the contour, *e.g.*, center and radius for a circle.
The solution is computed with a gradient descent, noting that the energy gradient
with respect to the contour parameters writes as a chain rule with
the parameter-related contour deformation fields and
the shape derivative of the energy (see ICIP 2006 on the page
Conferences for complete reference and preprint).

## Illustrative result

The picture below used to illustrate the method was downloaded from
WikipediA,
*The Free Encyclopedia*. It was taken by Lee R. Berger at Palau, Micronesia,
and shows a stingless jellyfish. The original picture and its licensing information
can be found at:

http://en.wikipedia.org/wiki/File:Palau_stingless_jellyfish.jpg

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