Pulsatile pressure measurements via harmonics-based orthogonal projection of noisy pressure gradients

Yuehuan Wang; Abbas N. Moghaddam; Geoffrey Behrens; Nasser Fatouraee; Juan Cebral; Eric T. Choi M.D.; Amir A. Amini

doi:10.1117/12.657162

13 March 2006 Pulsatile pressure measurements via harmonics-based orthogonal projection of noisy pressure gradients

Yuehuan Wang, Abbas N. Moghaddam, Geoffrey Behrens, Nasser Fatouraee, Juan Cebral, Eric T. Choi M.D., Amir A. Amini

Proceedings Volume 6143, Medical Imaging 2006: Physiology, Function, and Structure from Medical Images; 61430C (2006) https://doi.org/10.1117/12.657162
Event: Medical Imaging, 2006, San Diego, California, United States

Abstract

In the past, several methods based on iterative solution of pressure-Poisson equation have been developed for measurement of pressure from phase-contrast magnetic resonance (PC-MR) data. We have developed a novel non-iterative harmonics-based orthogonal projection method which can keep the pressures measured based on the Navier-Stokes equation independent of the path of integration. The gradient of pressure calculated with Navier-Stokes equation is expanded with a series of orthogonal basis functions, and is subsequently projected onto an integrable subspace. Before the projection step however, a scheme is devised to eliminate the discontinuity at the vessel boundaries. The approach was applied to noise-added velocities obtained for both steady and pulsatile stenotic flows from computational fluid dynamics (CFD) simulations and compared with pressures independently obtained by CFD. Additionally, MR velocity data for steady flows measured in in-vitro phantom models with different degree of stenoses and different flow rates were used to test the algorithm and results were compared with CFD simulations.

Citation Download Citation

Yuehuan Wang, Abbas N. Moghaddam, Geoffrey Behrens, Nasser Fatouraee, Juan Cebral, Eric T. Choi M.D., and Amir A. Amini "Pulsatile pressure measurements via harmonics-based orthogonal projection of noisy pressure gradients", Proc. SPIE 6143, Medical Imaging 2006: Physiology, Function, and Structure from Medical Images, 61430C (13 March 2006); https://doi.org/10.1117/12.657162

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available