A three-dimensional (3-D) representation of cerebral vessel morphology is e
ssential for neuroradiologists treating cerebral aneurysms, However, curren
t imaging techniques cannot provide such a representation, Slices of MR ang
iography (MRA) data can only give two-dimensional (2-D) descriptions and am
biguities of aneurysm position and size arising in X-ray projection images
can often be intractable, To overcome these problems, we have established a
new automatic statistically based algorithm for extracting the 3-D vessel
information from time-of-flight (TOF) MRA data. We introduce distributions
for the data, motivated by a physical model of blood flow, that are used in
a modified version of the expectation maximization (EM) algorithm, The est
imated model parameters are then used to classify statistically the voxels
into vessel or other brain tissue classes, The algorithm is adaptive becaus
e the model fitting is performed recursively so that classifications are ma
de on local subvolumes of data, We present results from applying our algori
thm to several real data sets that contain both artery and aneurysm structu
res of various sizes.