A Mathematical Morphology Approach to Cell Shape Analysis

Jesus Angulo (1)

1 CMM - Centre de Morphologie Mathématique

This contribution aims to apply mathematical morphology operators to quantify the shape of round-objects which present irregularities from an ideal circular pattern. More specifically we illustrate, on the one hand, the application of morphological granulometries for size/shape multi-scale description and on the other hand, the radial/angular decompo- sitions using skeletons in polar-logarithmic representation. We discuss also the aspects related to the properties of invariance of these tools, which is important to describe cell shapes acquired under different magnifications, orientations, etc.

Mots clés: Mathematical morphology operators; cell shape

Domaines: Traitement des images [eess.IV]; Imagerie médicale

Jesus Angulo. A Mathematical Morphology Approach to Cell Shape Analysis. Luis L. Bonilla, Miguel Moscoso, Gloria Platero, and Jose M. Vega. Progress in Industrial Mathematics at ECMI 2006, part II, Springer, pp.543-547, 2008, Mathematics in Industry, Volume 12, 978-3-540-71991-5. ⟨10.1007/978-3-540-71992-2_87⟩. ⟨hal-00833838⟩