Meeting Banner
Abstract #1346

A Fast 3D Non-Iterative Approach to Pressure Calculation from PC-MRI: Phantom Experiments

M.J. Negahdar1, Mo Kadbi1, JungWon Cha1, Juan Cebral2, Amir A. Amini1

1Electrical and Computer Engineering, University of Louisville, Louisville, Ky, United States; 2School of Computational Sciences, George Mason University, Fairfax, VA, United States

In this paper we develop a novel non-iterative approach to determination of hemodynamic pressures from phase-contrast MRI. 3D gradients of pressure obtained from Navier-Stokes equation are expanded into a series of orthogonal basis functions, and are subsequently projected onto an integrable subspace. When using the FFT, the approach involves application of three 3D FFTs and one inverse FFT. The proposed method results in highly accurate relative pressures and significantly improves on CPU time when compared with the conventional iterative approach to pressure calculations.

Keywords

acceptable acquisition adding additive agreement applied assume assumes available basis bipolar blood body calculation carried centerline comparing components computation computational computer computing conduit constant contained contrast convenience core covering cubical curl derive derived deviation directly disease distributed domain dotted drop electrical element encoding engineering equation equations error expanded expansion extension extrapolated fast field finally finite flow flows fluid force formulation free frequencies functions future generated geometrical good governs gradient gradients grid harmonic included instance integrable integrated inverse iterations iterative loop machine mason measure measured medicine million model momentum motion narrowing needs noise note numerical numerically offered onto optimization orthogonal paper pattern periodic phantom planning powers predetermined pressure pressures principle projection providing reconstructed regarding regime remaining resolution savings scalar scanner school sciences severity shear simulated simulations since slice solution solved spatial steady still stokes stress studies subspace substituting system table transform true turbo utilized vector velocities velocity vessel vitro volume wall widely