1. A differential geometry approach for biomedical image processing
- Author
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Demongeot, Jacques, Françoise, Jean-Pierre, Richard, Mathieu, Senegas, Franck, and Baum, Thierry-Pascal
- Subjects
- *
DIFFERENTIAL geometry , *DIAGNOSTIC imaging , *BIOMEDICAL engineering - 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. [Copyright &y& Elsevier]
- Published
- 2002
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