Maurer-Cartan Forms for Fields on Surfaces: Application to Heart Fiber Geometry
暂无分享,去创建一个
[1] Zhizhou Wang,et al. A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI , 2004, IEEE Transactions on Medical Imaging.
[2] Sinisa Pajevic,et al. Color schemes to represent the orientation of anisotropic tissues from diffusion tensor data: Application to white matter fiber tract mapping in the human brain , 1999, Magnetic resonance in medicine.
[3] Charles S. Peskin,et al. Mathematical aspects of heart physiology , 1975 .
[4] Kaleem Siddiqi,et al. Moving Frames for Heart Fiber Geometry , 2013, IPMI.
[5] Jan J. Koenderink,et al. Spatial Derivatives and the Propagation of Noise in Gaussian Scale Space , 1993, J. Vis. Commun. Image Represent..
[6] Alan P Benson,et al. Regional localisation of left ventricular sheet structure: integration with current models of cardiac fibre, sheet and band structure. , 2007, European journal of cardio-thoracic surgery : official journal of the European Association for Cardio-thoracic Surgery.
[7] J. Schnabel,et al. Nonlinear smoothing for reduction of systematic and random errors in diffusion tensor imaging , 2000, Journal of magnetic resonance imaging : JMRI.
[8] Dd. Streeter,et al. Gross morphology and fiber geometry of the heart , 1979 .
[9] Hervé Delingette,et al. Human Atlas of the Cardiac Fiber Architecture: Study on a Healthy Population , 2012, IEEE Transactions on Medical Imaging.
[10] Peter Savadjiev,et al. Local white matter geometry from diffusion tensor gradients , 2010, NeuroImage.
[11] Peter Savadjiev,et al. On the Differential Geometry of 3D Flow Patterns: Generalized Helicoids and Diffusion MRI Analysis , 2007, 2007 IEEE 11th International Conference on Computer Vision.
[12] A. Anderson,et al. Reduction of noise in diffusion tensor images using anisotropic smoothing , 2005, Magnetic resonance in medicine.
[13] M. Powell. The BOBYQA algorithm for bound constrained optimization without derivatives , 2009 .
[14] Sheng-Kwei Song,et al. Regional ventricular wall thickening reflects changes in cardiac fiber and sheet structure during contraction: quantification with diffusion tensor MRI. , 2005, American journal of physiology. Heart and circulatory physiology.
[15] Peter J. Olver,et al. Joint Invariant Signatures , 2001, Found. Comput. Math..
[17] Kaleem Siddiqi,et al. Atlases of Cardiac Fiber Differential Geometry , 2013, FIMH.
[18] Pierre-Louis Bazin,et al. Structure from Motion: A New Look from the Point of View of Invariant Theory , 2004, SIAM J. Appl. Math..
[19] J. Magnus,et al. Matrix Differential Calculus with Applications in Statistics and Econometrics , 1991 .
[20] Bin Chen,et al. Noise removal in magnetic resonance diffusion tensor imaging , 2005, Magnetic resonance in medicine.
[21] Carl-Fredrik Westin,et al. Normalized and differential convolution , 1993, Proceedings of IEEE Conference on Computer Vision and Pattern Recognition.
[22] Tamar Flash,et al. Affine differential geometry analysis of human arm movements , 2007, Biological Cybernetics.
[23] J. E. Glynn,et al. Numerical Recipes: The Art of Scientific Computing , 1989 .
[24] Edward W Hsu,et al. Helical myofiber orientation after myocardial infarction and left ventricular surgical restoration in sheep. , 2005, The Journal of thoracic and cardiovascular surgery.
[25] Diana Adler,et al. Differential Forms With Applications To The Physical Sciences , 2016 .
[26] D. L. Bassett,et al. An engineering analysis of myocardial fiber orientation in pig's left ventricle in systole , 1966 .
[27] Ohad Ben-Shahar,et al. The Perceptual Organization of Texture Flow: A Contextual Inference Approach , 2003, IEEE Trans. Pattern Anal. Mach. Intell..
[28] Olivier D. Faugeras,et al. Cartan's Moving Frame Method and Its Application to the Geometry and Evolution of Curves in the Euclidean, Affine and Projective Planes , 1993, Applications of Invariance in Computer Vision.
[29] John Forder,et al. Histological validation of myocardial microstructure obtained from diffusion tensor magnetic resonance imaging. , 1998, American journal of physiology. Heart and circulatory physiology.
[30] P. Hunter,et al. Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. , 1995, The American journal of physiology.
[31] P. Olver,et al. Maurer–Cartan forms and the structure of Lie pseudo-groups , 2005 .
[32] Peter J. Olver,et al. Moving frames , 2003, J. Symb. Comput..
[33] Tristan Needham,et al. Visual Complex Analysis , 1997 .
[34] T. Arts,et al. Characterization of the normal cardiac myofiber field in goat measured with MR-diffusion tensor imaging. , 2002, American journal of physiology. Heart and circulatory physiology.
[35] S Sideman,et al. Geodesics as a mechanically optimal fiber geometry for the left ventricle. , 1993, Basic research in cardiology.
[36] J. Pouysségur,et al. Correction for Savadjiev et al., Heart wall myofibers are arranged in minimal surfaces to optimize organ function , 2012, Proceedings of the National Academy of Sciences.
[37] Will Tribbey,et al. Numerical Recipes: The Art of Scientific Computing (3rd Edition) is written by William H. Press, Saul A. Teukolsky, William T. Vetterling, and Brian P. Flannery, and published by Cambridge University Press, © 2007, hardback, ISBN 978-0-521-88068-8, 1235 pp. , 1987, SOEN.
[38] Steven Haker,et al. Differential and Numerically Invariant Signature Curves Applied to Object Recognition , 1998, International Journal of Computer Vision.
[39] Kaleem Siddiqi,et al. Generalized Helicoids for Modeling Hair Geometry , 2011, Comput. Graph. Forum.
[40] Pierre-Louis Bazin,et al. Structure from Motion: Theoretical Foundations of a Novel Approach Using Custom Built Invariants , 2002, ArXiv.
[41] Jean-Philippe Thiran,et al. Sequential anisotropic multichannel Wiener filtering with Rician bias correction applied to 3D regularization of DWI data , 2009, Medical Image Anal..
[42] C. Henriquez,et al. Magnetic resonance myocardial fiber-orientation mapping with direct histological correlation. , 1998, American journal of physiology. Heart and circulatory physiology.