title: Evolution of brain tumor and stability of geometric invariants.
abstract: This paper presents a method to reconstruct and to calculate geometric invariants on brain tumors. The geometric invariants considered in the paper are the volume, the area, the discrete Gauss curvature, and the discrete mean curvature. The volume of a tumor is an important aspect that helps doctors to make a medical diagnosis. And as doctors seek a stable calculation, we propose to prove the stability of some invariants. Finally, we study the evolution of brain tumor as a function of time in two or three years depending on patients with MR images every three or six months.
authors.affiliation: Laboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, France.
authors.forename: K
authors.initials: K
authors.lastname: Tawbe
authors.forename: F
authors.initials: F
authors.lastname: Cotton
authors.forename: L
authors.initials: L
authors.lastname: Vuillon