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Evolution of Brain Tumor and Stability of Geometric Invariants
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...
Autores principales: | , , |
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Formato: | Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2008
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2659777/ https://www.ncbi.nlm.nih.gov/pubmed/19325922 http://dx.doi.org/10.1155/2008/210471 |
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author | Tawbe, K. Cotton, F. Vuillon, L. |
author_facet | Tawbe, K. Cotton, F. Vuillon, L. |
author_sort | Tawbe, K. |
collection | PubMed |
description | 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. |
format | Text |
id | pubmed-2659777 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2008 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-26597772009-03-26 Evolution of Brain Tumor and Stability of Geometric Invariants Tawbe, K. Cotton, F. Vuillon, L. Int J Telemed Appl Research Article 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. Hindawi Publishing Corporation 2008 2009-03-23 /pmc/articles/PMC2659777/ /pubmed/19325922 http://dx.doi.org/10.1155/2008/210471 Text en Copyright © 2008 K. Tawbe et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Research Article Tawbe, K. Cotton, F. Vuillon, L. Evolution of Brain Tumor and Stability of Geometric Invariants |
title | Evolution of Brain Tumor and Stability of Geometric Invariants |
title_full | Evolution of Brain Tumor and Stability of Geometric Invariants |
title_fullStr | Evolution of Brain Tumor and Stability of Geometric Invariants |
title_full_unstemmed | Evolution of Brain Tumor and Stability of Geometric Invariants |
title_short | Evolution of Brain Tumor and Stability of Geometric Invariants |
title_sort | evolution of brain tumor and stability of geometric invariants |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2659777/ https://www.ncbi.nlm.nih.gov/pubmed/19325922 http://dx.doi.org/10.1155/2008/210471 |
work_keys_str_mv | AT tawbek evolutionofbraintumorandstabilityofgeometricinvariants AT cottonf evolutionofbraintumorandstabilityofgeometricinvariants AT vuillonl evolutionofbraintumorandstabilityofgeometricinvariants |