
- the liver tissue range, covering intensities
below VL.
The construction of the vessel tree is performed
by a region growing approach consisting of the
following basic steps:
a) Build the weak vessel object set defined by
the pixels with values above VL.
b) Build the strong vessel object set defined by
the pixels with values above VH.
c) Take the strong vessel set computed in the
preceding step as the initial vessel tree
estimate, and add to it all objects of the weak
vessel set connected to it.
d) Repeat the previous step using the current
vessel tree estimated until it stops growing.
We searched appropriate values for VL and VH
manually through many experiments using different
CT sequences. We observed that the histogram
counts for the manually selected values stayed at a
roughly constant ratio to the intensity corresponding
to the maximum count.
Considering NM the maximum liver histogram
count, and NL and NH the counts corresponding
respectively to VL and VH, the ratios rl=NL/NM and
rh=NH/NM do not significantly change from CT
exam to CT exam. These ratios were determined
experimentally as rl=0.5 and rh=0.2.
Based on this regularity the following procedure
is proposed to select the lower and higher threshold
values:
a) Compute and smooth the histogram of the
image region inside the liver;
b) Detect the maximum histogram count NM
and the corresponding intensity VM.
c) Multiply NM by the ratios rl and rh, and
obtain the count values NL and NH.
d) Search the smoothed histogram for the
intensity values VL and VH corresponding to
NL and NH, whereby both VL and VH are
greater than VM.
2.4 Classification of Portal and Hepatic
Veins
The hepatic and portal veins appear as separate three
dimensional objects in most CT exams. However,
sometimes these veins touch to each other on some
CT slice, what may lead to identifying them as a
single object. In such case the Couinaud
segmentation becomes not possible.
This subsection describes a method to correctly
segment the veins even when they touch in some CT
slice.
Firstly, the method separates the vessel objects
segmented previously in connected components,
hereafter called objects, performing the following
steps:
a) The first slice S1 containing any object is
labelled.
b) The area projected by each object in S1 on
the next adjacent slice S2 is verified. If it
intersects only one object, the same label is
set to the object in S2. If it intersects more
than one object, new labels are created for
each intersected object in S2.
c) Step b is repeated until all objects in the CT
sequence are labelled.
As result vessels segments are obtained whose
extremes are determined by bifurcations, as shown
in Figure 2-b.
A second procedure is performed to classify
these vessel segments as hepatic or portal vein.
Based on knowledge of the anatomy, the following
simple algorithm is proposed. It consists of six steps:
a) The first object identified on the top slice is
selected.
b) If it is divided in three other objects in the
next adjacent slice, it is classified as hepatic
vessel, otherwise it is discarded and other
object is selected on the top slice until this
condition is reached.
c) For each of the three objects identified as
hepatic branches, the next adjacent slice is
analysed. The object with the largest
intersection area is selected as continuation of
the respective hepatic branch.
d) Step c is repeated recursively for each hepatic
branch until no other segment can be merged
to the hepatic vessel tree. At the end of this
step, the major hepatic vessels have been
identified.
e) The vessel segments not assigned to the
hepatic vessel tree up to step d are examined
and the largest 3D connected component is
labelled as the portal vein.
f) Non classified segments which are connected
to the hepatic vessel tree are merged to it.
In figure 2-a the hepatic and portal veins are
shown as a single object because they touch on some
CT slice. Figure 2-b shows in different colours
several independent segments delimited by each
bifurcation identified during the classification
process. Figure 2-c shows the final result, where the
hepatic and portal veins appear as separated vessel
trees.
AUTOMATIC COUINAUD LIVER AND VEINS SEGMENTATION FROM CT IMAGES
251