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- Jean Paul Frédéric Serra
- SIAM Review
- 1996

- Philippe Salembier, Jean Paul Frédéric Serra
- IEEE Trans. Image Processing
- 1995

This correspondence deals with the notion of connected operators. Starting from the definition for operator acting on sets, it is shown how to extend it to operators acting on function. Typically, a connected operator acting on a function is a transformation that enlarges the partition of the space created by the flat zones of the functions. It is shown… (More)

- Jean Paul Frédéric Serra
- Journal of Mathematical Imaging and Vision
- 2005

After a formal definition of segmentation as the largest partition of the space according to a criterion σ and a function f, the notion of a morphological connection is reminded. It is used as an input to a central theorem of the paper (Theorem 8), that identifies segmentation with the connections that are based on connective criteria. Just as connections,… (More)

- Jean Paul Frédéric Serra
- Journal of Mathematical Imaging and Vision
- 1996

Classically, connectivity is a topological notion for sets, often introduced by means of arcs. A nontopological axiomatics has been proposed by Matheron and Serra. The present paper extends it to complete sup-generated lattices. A connection turns out to be characterized by a family of openings labelled by the sup-generators, which partition each element of… (More)

- Allan Hanbury, Jean Paul Frédéric Serra
- BMVC
- 2001

The HLS colour space is widely used in image analysis as it is physically intuitive. As the hue component of this space is defined on the unit circle, standard greyscale image analysis operators, specifically morphological operators , are not applicable to it. A variation of the standard morphological operators which require the choice of an origin are… (More)

- Jesús Angulo, Jean Paul Frédéric Serra
- Bioinformatics
- 2003

MOTIVATION
DNA microarrays are an experimental technology which consists in arrays of thousands of discrete DNA sequences that are printed on glass microscope slides. Image analysis is an important aspect of microarray experiments. The aim of this step is to reduce an image of spots into a table with a measure of the intensity for each spot. Efficient,… (More)

The use of mathematical morphology in the CIE L*a*b* colour space is discussed. It is possible to impose a total order on the colour vectors in this space by using a weighting function and lexicographical order. An order analogous to one by colour saturation is suggested by making use of a weighting function based on an electrostatic potential. This… (More)

- Jean Paul Frédéric Serra
- Fundam. Inform.
- 2000

- José Crespo, Ronald W. Schafer, Jean Paul Frédéric Serra, Cristophe Gratin, Fernand Meyer
- Signal Processing
- 1997