A differential geometry approach for biomedical image processing |
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Authors: | Demongeot Jacques Françoise Jean-Pierre Richard Mathieu Senegas Franck Baum Thierry-Pascal |
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Affiliation: | Laboratoire TIMC-IMAG, UMR CNRS 5525, faculté de médecine, université Joseph-Fourier de Grenoble, 38700 La Tronche, France. Jacques.Demongeot@imag.fr |
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Abstract: | We show in this paper how simple considerations about bio-arrays images lead to a peak segmentation allowing the genes activity analysis. Bio-arrays images have a particular structure and the aim of the paper is to present a mathematical method allowing their automatic processing. The differential geometry approach used here can be also employed for other types of images presenting grey level peaks corresponding to a functional activity or to a chemical concentration. The mathematical method is based on elementary techniques of differential geometry and dynamical systems theory and provides a simple efficient algorithm when the peaks to segment are isolated. |
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Keywords: | bio-arrays segmentation Gauss curvature peak detection bio-puces segmentation courbure moyenne de Gauss détection de pics |
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