Key result
A novel analytical descriptor using a helical coordinate system and Fourier sine series successfully reconstructed 3-D left ventricular geometry and quantified global contraction.
A novel analytical method using Fourier spectrum coefficients allows for the 3-D geometric description and quantitative analysis of left ventricular shape and contraction from echocardiographic data.
Enables compact 3D LV geometry analysis from echocardiography; leaves open clinical validation before research or practice use.
A novel method to describe the instantaneous three-dimensional (3-D) geometry of the left ventricular (LV) endocardial surface by an analytical time-varying scalar function of Fourier spectrum coefficients is suggested. The method utilizes experimental echocardiographic data and uses a helical coordinate system to transform the 3-D data into a unidimensional numerical function. The instantaneous numerical function is then represented by its Fourier sine series which serves as an analytical shape descriptor from which the 3-D shape is reconstructed. The procedure can also be applied to data compression (spatial low-pass filtering), spectral analysis, and the evaluation of geometric similarity of 3-D shapes. When applied to the endocardial surface of the LV at end-diastole (ED) and end-systole (ES) this technique gives a quantitative analysis of the global LV contraction of the real heart.
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Azhari et al. (1987) studied Left ventricular shape and contraction. Analytical descriptor of 3-D geometry (Fourier sine series) was evaluated on Quantitative analysis of global LV contraction. A novel analytical descriptor using a helical coordinate system and Fourier sine series successfully reconstructed 3-D left ventricular geometry and quantified global contraction.
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