Assessment of Global Left Ventricle Deformation Using Recursive Spherical Harmonics

  • Malika JallouliEmail author
  • Wafa Belhadj KhalifaEmail author
  • Anouar Ben MabroukEmail author
  • Mohamed Ali MahjoubEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1074)


In this paper, the Heart Left Ventricle is modelised using a set of recursive spherical harmonics. We model the left ventricle in a compact and relevant way and secondly, it permits to define a global deformation of the anatomical structure between systole and diastole phases by applying Recursive Spherical Harmonics are applied on three left ventricle meshes acquired from cardiac pet scan to analyze their deformation during the cardiac cycle, evaluate cardiac global function and diagnose ventricular diseases. Experimental results proved the efficiency and accuracy of the present method compared to classical spherical harmonics modeling in terms of necessary number of coefficients and running time.


Spherical harmonics Recursivity Left ventricle Global deformation Cardiac function 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Ecole Nationale d’Ingénieurs de Sousse, LATIS-Laboratory of Advanced Technology and Intelligent SystemsUniversité de SousseSousseTunisie
  2. 2.Research Unit of Algebra, Number Theory and Nonlinear Analysis UR11ES50, Department of Mathematics, Faculty of SciencesMonastirTunisia
  3. 3.Department of MathematicsHigher Institute of Applied Mathematics and InformaticsKairouanTunisia
  4. 4.Department of Mathematics, Faculty of SciencesUniversity of TabukTabukSaudi Arabia

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