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Evolution of Brain Tumor and Stability of Geometric Invariants
Author(s) -
Khalil Tawbe,
François Cotton,
Laurent Vuillon
Publication year - 2008
Publication title -
international journal of telemedicine and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.363
H-Index - 27
eISSN - 1687-6423
pISSN - 1687-6415
DOI - 10.1155/2008/210471
Subject(s) - curvature , stability (learning theory) , volume (thermodynamics) , gauss , mean curvature , computer science , mathematics , artificial intelligence , medicine , pure mathematics , geometry , physics , machine learning , quantum mechanics
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.

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