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= Label Space: A Coupled Multi-Shape Representation =

Many techniques for multi-shape representation may often develop
inaccuracies stemming from either approximations or inherent variation.
Label space is an implicit representation that offers unbiased algebraic
manipulation and natural expression of label uncertainty.  We demonstrate
smoothing and registration on multi-label brain MRI.


= Description =

The surfaces are represented as the zero level set of a signed distance function and shape learning is performed on the embeddings of these shapes. We carry out some experiments to see how well each of these methods can represent a shape, given the training set. We tested the performance of these methods on shapes of left caudate nucleus and left hippocampus. The training set of left caudate nucleus consisted of 26 data sets and the test set contained 3 volumes. Error between a particular shape representation and
ground truth was calculated by computing the number of mislabeled voxels using each of the methods. Figure 1 gives the error
using each of the methods. Similar tests were done on a training set of 20 hippocampus data with 3 test volumes. Figure 2 gives the error table for each of the methods [1].

[[Image:Table1.png|thumb|600px|Figure 1: Table gives the number of mislabelled voxels for each of the methods for left caudate nucleus]]
[[Image:Table2.png|thumb|600px|Figure 2: Figure 1: Table gives the number of mislabelled voxels for each of the methods for left hippocampus]]

= Key Investigators =

* Georgia Tech Algorithms: James Malcolm, Yogesh Rathi, Allen Tannenbaum

= Publications =

J. Malcolm, Y. Rathi, and A. Tannenbaum.  "Label Space: A Multi-Object Shape Representation."  In Combinatorial Image Analysis, 2008.


[[Category: Shape Analysis]]