Abstract
In this paper, we show that canonical (shape-based) geometries can be endowed to cardiac structures using tubular coordinates defined over their medial axis. We give an analytic formulation of these geometries by means of B-Splines. Since B-Splines present vector space structure PCA can be applied to their control points and statistical models relating boundaries and the interior of the anatomical structures can be derived. We demonstrate the applicability in two cardiac structures, the 3D Left Ventricular volume, and the 2D Left-Right ventricle set in 2D Short Axis view.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Cootes, T., Taylor, C.: Using grey-level models to improve active shape model search. In: Proc. ICPR, pp. 63–67 (1994)
Cootes, T., Edwards, G., Taylor, C.: Active appearance models. In: Burkhardt, H., Neumann, B. (eds.) ECCV 1998. LNCS, vol. 1407, pp. 484–498. Springer, Heidelberg (1998)
Blum, H.: A transformation for extracting new descriptors of form. In: Whaten-Dunn, W. (ed.) Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)
Fletcher, P.T., Lu, C., et al.: Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Trans. Med. Imag. 23(8), 995–1005 (2004)
Pizer, S., Fletcher, P., et al.: Deformable m-reps for 3d medical image segmentation. International Journal of Computer Vision 55(2), 85–106 (2003)
Kelemen, A., Szekely, G., Gerig, G.: Elastic model-based segmentation of 3-d neuroradiological data sets. IEEE Trans. Med. Imag. 18, 828–839 (1999)
Yushkevich, P., Zhang, H., Gee, J.: Continuous medial representation for anatomical structures. IEEE Trans Med Imaging 25(12), 1547–1564 (2006)
Pennec, X.: Intrinsic statistics on riemannian manifolds - basic tools for geometric measurements. Journal of Mathematical Imaging and Vision 25, 127–154 (2006)
Bossa, M., Hernandez, M., Olmos, S.: Contributions to 3d diffeomorphic atlas estimation: Application to brain images. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007, Part I. LNCS, vol. 4791, pp. 667–674. Springer, Heidelberg (2007)
Yushkevich, P.: Continuous medial representation of brain structures using the biharmonic pde. NeuroImage 45(1), 99–110 (2009)
Ballester, M., Ferreira, A., Carreras, F.: The myocardial band. Heart Failure Clinics 4, 261–272 (2008)
Garcia-Barnés, J., Gil, D., Badiella, L., Hernàndez-Sabaté, A., Carreras, F., Pujades, S., Martí, E.: A normalized framework for the design of feature spaces assessing the left ventricular function. IEEE Trans. on Medical Imaging 29(3), 733–745 (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Garcia-Barnes, J., Gil, D., Hernandez, A. (2010). Endowing Canonical Geometries to Cardiac Structures. In: Camara, O., Pop, M., Rhode, K., Sermesant, M., Smith, N., Young, A. (eds) Statistical Atlases and Computational Models of the Heart. STACOM 2010. Lecture Notes in Computer Science, vol 6364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15835-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-15835-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15834-6
Online ISBN: 978-3-642-15835-3
eBook Packages: Computer ScienceComputer Science (R0)