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. Author manuscript; available in PMC: 2014 Oct 8.
Published in final edited form as: IEEE Trans Med Imaging. 2014 May 30;33(10):1939–1953. doi: 10.1109/TMI.2014.2327516

TABLE I.

Summary of notation

Symbol Description
(Ai, Li) Intensity and label images of the i-th atlas
(Ãi, i) Intensity and label images of the i-th atlas after non-rigid warping to a particular target
(T, LT, LT* ) Target intensity image, estimated label image (by MAS) and ground-truth label image, respectively.
I Index-set of the N atlases
t Index to denote the atlas acting as target image in the training set
K Scalar denoting the number of selected atlases to be used for MAS
St*
Set of indexes of the K best atlases for segmenting target image At, according to ground-truth
ST Set of indexes of the K best atlases for segmenting target image T
f (·,·) Scoring function that maps a pair of affinely registered images to their expected segmentation performance
w⃗ Weighting vector learned by SVM-Rank
θ⃗i Vector with the HOG features extracted from i-th image in the training set
M Scalar denoting the total number of features
Θ⃗k Vector with the k-th pairwise feature from all atlas-target pairs in the training set
Ψ⃗ Vector with the ground-truth DR from all atlas-target pairs in the training set
Φ(·,·) Compact vector of pairwise features from a pair of target and atlas images
m Scalar denoting the size of the compact set of features