Ω(L p , L q ) | Pulse function. |
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δ | Trade off coefficient between U and B. |
∂ k | Substraction of graylevel for a pair of bins in C c×r . |
| First and second derivatives w.r.t. x. |
θ {p, q} | Angle between minimum gradient variation vectors in pixel p and q. |
α, σ and β | Weight parameters of boundary term. |
|·| | Cardinal of a set. |
| Sets of caudate and background seeds. |
C c×r | Correlogram structure of c circles and r radius. |
d p | Correlogram descriptor for pixel p. |
d(·,·) | Minimum Euclidean distance between two sets of voxels. |
| Dilatation function of structure element of k d pixels. |
E(·), U(·), B(·) | Cost function, Unary term, and Boundary term. |
| Erosion function of structure element of k e pixels. |
| Graph of nodes and edges ε . |
G and ℓ | The 2-dimensional Gaussian function and the Lindeberg parameter. |
H(·) | Entropy value. |
I and I p | Grayscale image and image intensity value at pixel p. |
J p, γ, s | Binary edge map of pixel p at scale s and with sensitivity edge threshold γ. |
| Binary vectors of assignments to pixels . |
| Set of unordered pairs {p, q} of neighboring pixels under a 4-(8-) neighborhood system. |
N {p, q}, O {p, q} | Boundary terms based on first and second derivatives. |
| Set of indexes of I. |
Pu(·), Ps(·) | Unsupervised and supervised probability function. |
P(·) | General frequency-based Probability function. |
{p, q} | n-link connecting a pair of neighbors p and q. |
| Region of Interest (ROI). |
R p (s) | Neighborhood of size s × s. |
S, T | Caudate and Background terminal nodes. |
SVM(.) | Support Vector Machines classifier function. |
T p | Atlas-based threshold over probability map. |
UU(·), SU(·) | Unsupervised and supervised unary terms. |
| Set of pixels of I. |