We propose an improved region based segmentation model with shape priors that uses labels of confidence/interest to
exclude the influence of certain regions in the image that may not provide useful information for segmentation. These
could be regions in the image which are expected to have weak, missing or corrupt edges or they could be regions in the
image which the user is not interested in segmenting, but are part of the object being segmented. In the training datasets,
along with the manual segmentations we also generate an auxiliary map indicating these regions of low confidence/interest.
Since, all the training images are acquired under similar conditions, we can train our algorithm to estimate these regions as
well. Based on this training we will generate a map which indicates the regions in the image that are likely to contain no
useful information for segmentation. We then use a parametric model to represent the segmenting curve as a combination
of shape priors obtained by representing the training data as a collection of signed distance functions. We evolve an
objective energy functional to evolve the global parameters that are used to represent the curve. We vary the influence
each pixel has on the evolution of these parameters based on the confidence/interest label. When we use these labels to
indicate the regions with low confidence; the regions containing accurate edges will have a dominant role in the evolution
of the curve and the segmentation in the low confidence regions will be approximated based on the training data. Since our
model evolves global parameters, it improves the segmentation even in the regions with accurate edges. This is because we
eliminate the influence of the low confidence regions which may mislead the final segmentation. Similarly when we use
the labels to indicate the regions which are not of importance, we will get a better segmentation of the object in the regions
we are interested in.
KEYWORDS: Image segmentation, Principal component analysis, Heart, Binary data, 3D metrology, Data modeling, 3D modeling, Image resolution, Data acquisition, Shape analysis
We present a 4D spatiotemporal segmentation algorithm based on the Mumford-Shah functional coupled with
shape priors. When used in a clinical setting, our algorithm could greatly alleviate the time that clinicians
must spend working with the acquired data to manually retrieve diagnostically meaningful measurements. The
advantage of the 4D algorithm is that segmentation occurs in both space and time simultaneously, improving
accuracy and robustness over existing 2D and 3D methods. The segmentation contour or hyper-surface is a zero
level set function in 4D space that exploits the coherence within continuous regions not only between spatial
slices, but between consecutive time samples as well. Shape priors are incorporated into the segmentation to limit
the result to a known shape. Variations in shape are computed using principal component analysis (PCA), of a
signed distance representation of the training data derived from manual segmentation of 18 carefully selected data
sets. The automatic segmentation occurs by manipulating the parameters of this signed distance representation
to minimize a predetermined energy functional. Several tests are presented to show the consistency and accuracy
of the novel automatic 4D segmentation process.
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