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...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2008-01-01
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| Series: | International Journal of Telemedicine and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/210471 |
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doaj-0b1a43eb3f4446efa63107020aa92c792020-11-25T00:58:22ZengHindawi LimitedInternational Journal of Telemedicine and Applications1687-64151687-64232008-01-01200810.1155/2008/210471210471Evolution of Brain Tumor and Stability of Geometric InvariantsK. Tawbe0F. Cotton1L. Vuillon2Laboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, FranceLaboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, FranceLaboratoire de Mathématiques, Université de Savoie, CNRS UMR 5127, 73376 Le Bourget du Lac, FranceThis 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.http://dx.doi.org/10.1155/2008/210471 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
K. Tawbe F. Cotton L. Vuillon |
| spellingShingle |
K. Tawbe F. Cotton L. Vuillon Evolution of Brain Tumor and Stability of Geometric Invariants International Journal of Telemedicine and Applications |
| author_facet |
K. Tawbe F. Cotton L. Vuillon |
| author_sort |
K. Tawbe |
| title |
Evolution of Brain Tumor and Stability of Geometric Invariants |
| title_short |
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_sort |
evolution of brain tumor and stability of geometric invariants |
| publisher |
Hindawi Limited |
| series |
International Journal of Telemedicine and Applications |
| issn |
1687-6415 1687-6423 |
| publishDate |
2008-01-01 |
| 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. |
| url |
http://dx.doi.org/10.1155/2008/210471 |
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AT ktawbe evolutionofbraintumorandstabilityofgeometricinvariants AT fcotton evolutionofbraintumorandstabilityofgeometricinvariants AT lvuillon evolutionofbraintumorandstabilityofgeometricinvariants |
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