Physics-Based Techniques for Modeling Volumetric
We will present several physics-based modeling methods suitable for
the modeling and analysis of volumetric objects.
We will first present our work for the volumetric modeling and analysis
of the heart from MRI-tagged data. By constructing a volumetric model of
the Left- and Right Ventricles (LV-RV) from contour and volumetric tagged
data we estimate the shape and motion of the heart during systole and diastole.
In addition based on the use of the Navier Stokes equation we simulate
the blood flow in the LV. We demonstrate quantitative analysis of heart
motion for normal and pathological cases.
Then we will present novel volumetric segmentation methods based on
the integration of 3D deformable models and Markov Random Fields. These
hybrid segmentation techniques couple low level image processing methods
with higher level model-based approaches and lend themselves naturally
to minimal user interaction and more robust segmentation.
Finally we will present our efforts towards modeling the 3D motion of
fluids based on the use of the Navier-Stokes equations. We will demonstrate
modeling results of both fluids and gases.