This paper presents an accurate eye detection algorithm using elliptical separability filter and combined features of eyes. First, a histogram back-projection method is utilized to extract the rough face region, and then iris candidates are detected by using elliptical separability filter developed based on Fukui et al.’s separability filter. By calculating the similarities of pairs of iris can...

We give a new separability criterion, a necessary condition for separability of N partite quantum states. The criterion is based on the Bloch representation of a N -partite quantum state and makes use of multilinear algebra, in particular, the matrization of tensors. Our criterion applies to arbitrary N -partite quantum states in H = H1 ⊗H2 ⊗ · · ·⊗HN . The criterion can test whether a N -parti...

By means of noninvasive near-infrared spectroscopy (NIRS), cerebral concentration changes in oxygenated and deoxygenated hemoglobin ([oxy-Hb] and [deoxy-Hb]) can be determined. The quality of the concentration changes' assessment critically depends on the wavelength combination used. Trying to optimize this combination, two spectroscopic effects must be taken into account: cross talk and separa...

We introduce a separability condition for the states of fermion lattice systems. It shares similar characterizations about the state correlation between a pair of disjoint subsystems with that for the tensor-product systems. We propose two seemingly natural non-separable degrees for the fermion lattice system based on our generalization of the entanglement of formation to an arbitrary, namely n...

The separability problem for word languages of a class C by languages of a class S asks, for two given languages I and E from C, whether there exists a language S from S that includes I and excludes E, that is, I ⊆ S and S ∩E = ∅. In this work, we assume some mild closure properties for C and study for which such classes separability by a piecewise testable language (PTL) is decidable. We chara...