2018
DOI: 10.1016/j.compmedimag.2017.06.004
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Directional analysis of cardiac motion field from gated fluorodeoxyglucose PET images using the Discrete Helmholtz Hodge Decomposition

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Cited by 6 publications
(3 citation statements)
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“…Sparse OF provides a vector field for special features, normally pixels corresponding to edges or corners of objects, while dense OF provides a vector field for all pixels in the image. Dense algorithms related to motion vector field (MVF) analysis are known to have medical imaging applications, in particular for temporal analysis of cardiac images [4,[10][11][12][13]. A number of different methods exist for quantification of OF [14][15][16] of which the dense OF algorithms by Horn and Schunck (HS) and Farneback (FOF) have been used extensively in the literature.…”
Section: Optical Flowmentioning
confidence: 99%
“…Sparse OF provides a vector field for special features, normally pixels corresponding to edges or corners of objects, while dense OF provides a vector field for all pixels in the image. Dense algorithms related to motion vector field (MVF) analysis are known to have medical imaging applications, in particular for temporal analysis of cardiac images [4,[10][11][12][13]. A number of different methods exist for quantification of OF [14][15][16] of which the dense OF algorithms by Horn and Schunck (HS) and Farneback (FOF) have been used extensively in the literature.…”
Section: Optical Flowmentioning
confidence: 99%
“…The Helmholtz Hodge decomposition of a vector field into irrotational and solenoidal components and their respective scalar and vector potentials is a classical result that appears in many different variants both in the traditional fields of mathematics and physics and more recently in applied sciences like medical imaging [51]. Especially in the context of classical electromagnetism and plasma physics, the Helmholtz Hodge decomposition has been used for many years to help analyse turbulent velocity fields [4,26] or separate current systems into source-free and irrotational components [17][18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…Buckberg (2004), according to Notomi et al [1], notes that research in clinical cardiac mechanics has moved towards three-dimensional ventricular deformation studies, which include investigations of LV torsion. We have previously applied the Discrete Helmholtz Hodge Decomposition (DHHD) to 3D cardiac motion fields, calculated from in-vivo 4D image sequences using optical flow techniques ( [2]), and show that the DHHD algorithm presents the following possibilities for analysis: (i) an automated method for decomposing the motion field into components, such as LV torsion, which can then be studied independently and in a simpler manner; (ii) a method for tracking the centres of flow phenomena from frame to frame.…”
Section: Introductionmentioning
confidence: 99%