Fractal models in biological image analysis and vision
Jean Paul Rigaut,
Laboratoire de Microscopie Quantitative en Histopathologie, U.263 INSERM, Université Paris 7, Tour 53-1, 2 place Jussieu, 75251 - Paris Cedex 05, France
Abstract
The mathematical bases and the main features of classic and asymptotic fractal formalisms are explained, together with a review of methods for the estimation of the fractal dimension and of other quantities.
The main applications of fractal geometry in the analysis of images from cell and tissue biology are reviewed.
Finally, the relationships between mathematical morphology and fractal geometry are explored, starting from a new equation which links the two theories. This represents a basis for low resolution segmentation and texture recognition in artificial vision. Possible relationships with human vision are discussed.
Keywords : biology, fractal geometry, image analysis, mathematical morphology, vision
Pour citer cet article
Jean Paul Rigaut, «Fractal models in biological image analysis and vision», Acta Stereologica [En ligne], Volume 9 (1990), Number 1 - Proceedings of the fifth European congress for stereology - Part three - June 1990, 37-52 URL : https://popups.uliege.be/0351-580x/index.php?id=2691.