title: A differential geometry approach for biomedical image processing.
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.
authors.affiliation: Laboratoire TIMC-IMAG, UMR CNRS 5525, faculté de médecine, université Joseph-Fourier de Grenoble, 38700 La Tronche, France. Jacques.Demongeot@imag.fr
authors.forename: Jacques
authors.initials: J
authors.lastname: Demongeot
authors.forename: Jean-Pierre
authors.initials: JP
authors.lastname: Françoise
authors.forename: Mathieu
authors.initials: M
authors.lastname: Richard
authors.forename: Franck
authors.initials: F
authors.lastname: Senegas
authors.forename: Thierry-Pascal
authors.initials: TP
authors.lastname: Baum
mesh_terms: D020811:Biomedical Technology; D003952:Diagnostic Imaging / Q000379:methods*; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008433:Mathematics