Singular Perturbations For Heart Image Segmentation Tracking

J. Pousin

Mathematical Modelling of Natural Phenomena (2009)

  • Volume: 4, Issue: 1, page 183-194
  • ISSN: 0973-5348

Abstract

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In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.

How to cite

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Pousin, J.. "Singular Perturbations For Heart Image Segmentation Tracking." Mathematical Modelling of Natural Phenomena 4.1 (2009): 183-194. <http://eudml.org/doc/222389>.

@article{Pousin2009,
abstract = { In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.},
author = {Pousin, J.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {images segmentation; linear elasticity; singular perturbations techniques; singular perturbations techniques},
language = {eng},
month = {1},
number = {1},
pages = {183-194},
publisher = {EDP Sciences},
title = {Singular Perturbations For Heart Image Segmentation Tracking},
url = {http://eudml.org/doc/222389},
volume = {4},
year = {2009},
}

TY - JOUR
AU - Pousin, J.
TI - Singular Perturbations For Heart Image Segmentation Tracking
JO - Mathematical Modelling of Natural Phenomena
DA - 2009/1//
PB - EDP Sciences
VL - 4
IS - 1
SP - 183
EP - 194
AB - In this note we give a result of convergence when time goes to infinity for a quasi static linear elastic model, the elastic tensor of which vanishes at infinity. This method is applied to segmentation of medical images, and improves the 'elastic deformable template' model introduced previously.
LA - eng
KW - images segmentation; linear elasticity; singular perturbations techniques; singular perturbations techniques
UR - http://eudml.org/doc/222389
ER -

References

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  10. M. Picq J. Pousin, Y. Rouchdy, A linear 3D elastic segmentation model for vector fields. Application to the heart segmentation in MRI. Journal Of Mathematical Imaging and Vision, 27 (2007), No. 3, 241–255.  
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  12. Y. Rouchdy, J. Pousin , J. Schaerer, P. Clarysse. A nonlinear elastic deformable template for soft structure segmentation. Application to heart segmentation in MRI. J. Inverse Problems, 23 (2007), No. 3, 1017–1035.  
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