An Automatic 2D, 2.5D & 3D Score-Based Fusion Face Verification System

Singular spectrum analysis for image processing

“…where the individual trajectory matrices X (i) are computed by (2). The SSA reconstruction of the trajectory matrix X given in the form (3) will then correspond to a simultaneous reconstruction of the image.…”

“…of the same size h × w. To measure the dissimilarity between the two images we shall use the normalized squared Frobenius distance (4) d(I (1) , I (2) )=…”

“…Let us fix the size u×v of the moving window and let X (1) , X (2) be two trajectory matrices of size p × q associated with I (1) and I (2) . First, we normalize the trajectory matrices as follows:…”

“…Let us now analyze the two images I (1) and I (2) simultaneously. To do this, we create a joint (normalized) trajectory matrix…”

“…If it is needed, from the SVD of the matrix Y Y T we can perform the reconstruction of both images, I (1) and I (2) , using Algorithm 1.…”