Estimation of multiple local orientations in image signals

Estimation of Multiple Orientations and Multiple Motions in Multi-Dimensional Signals

“…respectively, both components obey Equation (3). Therefore, the composite image f (x) satisfies the nonlinear equation…”

“…An alternative decomposition method which circumvents the above difficulties [3,16] without any further exceptions determines the orientation vectors as the rows and columns of the tensor…”

“…We model multiple orientation signals as an additive superposition of a set of one-dimensional oriented signals, but occluded orientations can be approached in the same manner [3,22,16,14]. As a major contribution, we then present a general solution for decomposing the MOP into the individual orientations, and thereby overcome previous limitations in either the dimension of the signal or the number of orientations [20,21,17,3,22,16,14]. This paper is organized as follows.…”

Fingerprint Recognition Algorithm

“…• The characteristic directions of the blocks containing the minutiae are such that: Gsin(6 2 − 6 3 )G < sin 10° [12] The last step consists in computing the number N of the superimposed minutiae (to ∆ near) and then comparing this number with a threshold M chosen according to the recognition system, if N ≥ M on is the case of the two signatures combined, otherwise No one will be recognized and the two signatures will be considered different.…”

User-defined ROI tracking for estimation of the myocardial blush grade

“…The border of the ROI is modeled as a closed elastic string, which is deformed under the action of certain external forces, defined in relation to the tracked corners by attaching virtual springs between each corner and each border point. The corners are detected by a tensor approach [2]. The behavior of the strings is regularized by internal forces [7].…”