H. Abe, G. Caracciolo, A. Kheradvar, G. Pedrizzetti, B. Khandheria et al., Contrast echocardiography for assessing left ventricular vortex strength in heart failure: a prospective cohort study Eur, Heart J, vol.14, pp.1049-60, 2013.

L. Agati, S. Cimino, G. Tonti, F. Cicogna, V. Petronilli et al., Quantitative analysis of intraventricular blood ow dynamics by echocardiographic particle image velocimetry in patients with acute myocardial infarction at different stages of left ventricular dysfunction Eur, Heart J. Cardiovasc. Imaging, vol.15, pp.1203-1215, 2014.

M. Arigovindan, M. Suhling, C. Jansen, P. Hunziker, and M. Unser, Full motion and ow eld recovery from echo Doppler data, IEEE Trans. Med. Imaging, vol.26, pp.31-45, 2007.
DOI : 10.1109/tmi.2006.884201
URL : http://bigwww.epfl.ch/publications/arigovindan0701.pdf

P. Arvidsson, S. Kovács, J. Töger, R. Borgquist, E. Heiberg et al., Vortex ring behavior provides the epigenetic blueprint for the human heart, Sci. Rep, vol.6, p.22021, 2016.
DOI : 10.1038/srep22021
URL : https://www.nature.com/articles/srep22021.pdf

M. Belge, M. Kilmer, and E. Miller, Simultaneous multiple regularization parameter selection by means of the L-hypersurface with applications to linear inverse problems posed in the, wavelet transform domain Proc. SPIE, vol.3459, pp.328-364, 1998.

M. Belge, M. Kilmer, and E. Miller, Efcient determination of multiple regularization parameters in a generalized L-curve framework Inverse Problems, vol.18, p.1161, 2002.

J. Bermejo, P. Martínez-legazpi, D. Álamo, and J. , The clinical assessment of intraventricular ows, Annu. Rev. Fluid Mech, vol.47, pp.315-357, 2015.
DOI : 10.1146/annurev-fluid-010814-014728

C. Chnafa, S. Mendez, R. Moreno, and F. Nicoud, Using image-based CFD to investigate the intracardiac turbulence Modeling the Heart and the Circulatory System, pp.97-117, 2015.

C. Chnafa, S. Mendez, and F. Nicoud, Image-based large-eddy simulation in a realistic left heart Comput, Fluids, vol.94, pp.173-87, 2014.
DOI : 10.1016/j.compfluid.2014.01.030
URL : https://hal.archives-ouvertes.fr/hal-00943609/file/accepted.pdf

C. Chnafa, S. Mendez, and F. Nicoud, Image-based simulations show important ow uctuations in a normal left ventricle: what could be the implications?, Ann. Biomed. Eng, vol.44, pp.3346-58, 2016.

P. Craven and G. Wahba, Estimating the correct degree of smoothing by the method of generalized cross-validation, Numer. Math, vol.31, pp.377-403, 1978.

M. Elbaz, E. Calkoen, J. Westenberg, B. Lelieveldt, A. Roest et al., Vortex ow during early and late left ventricular lling in normal subjects: quantitative characterization using retrospectively-gated 4D ow cardiovascular magnetic resonance and threedimensional vortex core analysis, J. Cardiovasc. Magn. Reson, vol.16, p.78, 2014.
DOI : 10.1186/s12968-014-0078-9
URL : https://jcmr-online.biomedcentral.com/track/pdf/10.1186/s12968-014-0078-9

S. Fadnes, S. Nyrnes, H. Torp, and L. Lovstakken, Shunt ow evaluation in congenital heart disease based on two-dimensional speckle tracking, Ultrasound Med. Biol, vol.40, pp.2379-91, 2014.
DOI : 10.1016/j.ultrasmedbio.2014.03.029

K. Assi, Phys. Med. Biol, vol.62, p.7131, 2017.

J. Faurie, M. Baudet, K. Assi, D. Auger, G. Gilbert et al., Intracardiac vortex dynamics by high-frame-rate Doppler vortography-in vivo comparison with vector ow mapping and 4D ow MRI, IEEE Trans. Ultrason. Ferroelectr. Freq. Control, vol.64, pp.424-456, 2017.

D. Garcia, Two-dimensional intraventricular ow mapping by digital processing conventional color-Doppler echocardiography images, IEEE Trans. Med. Imaging, vol.29, pp.1701-1714, 2010.

A. Gomez, A. De-vecchi, M. Jantsch, W. Shi, K. Pushparajah et al., 4D Blood Flow Reconstruction over the entire ventricle from wall motion and blood velocity derived from ultrasound data, IEEE Trans. Med. Imaging, vol.34, pp.2298-308, 2015.

P. Hansen, The L-curve and its use in the numerical treatment of inverse problems Computational Inverse Problems in Electrocardiology Advances in Computational Bioengineering ed P Johnston, pp.119-161, 2000.

P. Hansen, O. Leary, and D. , The use of the L-curve in the regularization of discrete ill-posed problems SIAM, J. Sci. Comput, vol.14, pp.1487-503, 1993.

S. Hendabadi, J. Bermejo, Y. Benito, R. Yotti, F. Fernández-avilés et al., Topology of blood transport in the human left ventricle by novel processing of Doppler echocardiography, Ann. Biomed. Eng, vol.41, pp.2603-2619, 2013.

J. Jang, C. Ahn, K. Jeon, J. Heo, D. Lee et al., A reconstruction method of blood ow velocity in left ventricle using color ow ultrasound Comput, Math. Methods Med, 2015.

J. Jensen, Color ow mapping using phase shift estimation Estimation of Blood Velocities Using Ultrasound, pp.195-226, 1996.

J. Jensen, S. Nikolov, A. Yu, and D. Garcia, Ultrasound vector ow imaging: I: sequential systems IEEE, Trans. Ultrason. Ferroelectr. Freq. Control, vol.63, pp.1704-1725, 2016.

H. Kim, J. Hertzberg, and R. Shandas, Echo PIV for ow eld measurements in vivo, Biomed. Sci. Instrum, vol.40, pp.357-63, 2004.

M. Markl, S. Schnell, C. Wu, E. Bollache, K. Jarvis et al., Advanced ow MRI: emerging techniques and applications, Clin. Radiol, vol.71, pp.779-95, 2016.

F. Mehregan, F. Tournoux, S. Muth, P. Pibarot, R. Rieu et al., Doppler vortography: a color Doppler approach to quantiication of intraventricular blood ow vortices, Ultrasound Med. Biol, vol.40, pp.210-231, 2014.

S. Muth, S. Dort, I. Sebag, M. Blais, and D. Garcia, Unsupervised dealiasing and denoising of color-Doppler data Med, Image Anal, vol.15, pp.577-88, 2011.

Y. Nogami, T. Ishizu, A. Atsumi, M. Yamamoto, R. Kawamura et al., Abnormal early diastolic intraventricular ow 'kinetic energy index' assessed by vector ow mapping in patients with elevated lling pressure Eur, Heart J. Cardiovasc. Imaging, vol.14, pp.253-60, 2013.

G. Pedrizzetti, L. Canna, G. , A. O. Tonti, and G. , The vortex, an early predictor of cardiovascular outcome?, Nat. Rev. Cardiol, vol.11, pp.545-53, 2014.

G. Pedrizzetti and G. Tonti, Method for transforming a Doppler velocity dataset into a velocity vector eld Patent No. EP2514368 A1, 2012.

J. Porée, D. Posada, A. Hodzic, F. Tournoux, G. Cloutier et al., High-frame-rate echocardiography using coherent compounding with Doppler-based motion-compensation, IEEE Trans. Med. Imaging, vol.35, pp.1647-57, 2016.

D. Posada, J. Porée, A. Pellissier, B. Chayer, F. Tournoux et al., Staggered multiple-PRF ultrafast color, Doppler IEEE Trans. Med. Imaging, vol.35, pp.1510-1531, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01826122

J. Provost, C. Papadacci, J. Arango, M. Imbault, M. Fink et al., 3D ultrafast ultrasound imaging in vivo, Phys. Med. Biol, vol.59, pp.1-3, 2014.

R. Ro, D. Halpern, D. Sahn, P. Homel, M. Arabadjian et al., Vector ow mapping in obstructive hypertrophic cardiomyopathy to assess the relationship of early systolic left ventricular ow and the mitral valve, J. Am. Coll. Cardiol, vol.64, pp.1984-95, 2014.

P. Sengupta, G. Pedrizzetti, P. Kilner, A. Kheradvar, T. Ebbers et al., Emerging trends in CV ow visualization, JACC Cardiovasc. Imaging, vol.5, pp.305-321, 2012.

T. Tanaka, R. Asami, K. Kawabata, E. Itatani, T. Uejima et al., Intracardiac VFM technique using diagnostic ultrasound system Hitachi Rev, vol.64, p.489, 2015.

T. Uejima, A. Koike, H. Sawada, T. Aizawa, S. Ohtsuki et al., A new echocardiographic method for identifying vortex ow in the left ventricle: numerical validation, Ultrasound Med. Biol, vol.36, pp.772-88, 2010.

J. Weiss, The dynamics of enstrophy transfer in two-dimensional hydrodynamics Phys. Nonlinear Phenom, vol.48, pp.273-94, 1991.