Volume Tracking: A New Method for Visualization of Intracardiac Blood Flow from Three-Dimensional, Time-Resolved, Three-Component Magnetic Resonance Velocity Mapping Appendix: Theory and Numerical Implementation
نویسندگان
چکیده
This document describes the theory and technical details of Volume Tracking, a new method for visualization of flow measured using four-dimensional phase contrast magnetic resonance imaging (4D PC-MRI) [1]. Volume Tracking provides a new visual impression of the flow compared to particle tracing, the most commonly used method for visualization of 4D PC-MRI data. Volume Tracking uses a novel formulation of the flow tracking problem, where the motion of arbitrary volumes is encoded in a flow map. A partial differential equation (PDE) for the flow map is stated and solved using a finite volume scheme. This document describes the mathematical theory, PDE formulation and numerical solution, and is intended for readers interested in analyzing or reproducing the computational implementation of the method.
منابع مشابه
Volume Tracking: A new method for quantitative assessment and visualization of intracardiac blood flow from three-dimensional, time-resolved, three-component magnetic resonance velocity mapping
BACKGROUND Functional and morphological changes of the heart influence blood flow patterns. Therefore, flow patterns may carry diagnostic and prognostic information. Three-dimensional, time-resolved, three-directional phase contrast cardiovascular magnetic resonance (4D PC-CMR) can image flow patterns with unique detail, and using new flow visualization methods may lead to new insights. The aim...
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