Tracking of motion objects in the surveillance videos is useful for the monitoring and analysis. The performance of the surveillance system will deteriorate when shadows are detected as moving objects. Therefore, shadow detection and elimination usually benefits the next stages. To overcome this issue, a method for detection and elimination of shadows is proposed. This paper presents a method f...

We study a perturbed Floquet Hamiltonian K + βV depending on a coupling constant β. The spectrum σ(K) is assumed to be pure point and dense. We pick up an eigen-value, namely 0 ∈ σ(K), and show the existence of a function λ(β) defined on I ⊂ R such that λ(β) ∈ σ(K + βV ) for all β ∈ I, 0 is a point of density for the set I, and the Rayleigh-Schrödinger perturbation series represents an asymptot...

Tracking of motion objects in the surveillance videos is useful for the monitoring and analysis. The performance of the surveillance system will deteriorate when shadows are detected as moving objects. Therefore, shadow detection and elimination usually benefits the next stages. To overcome this issue, a method for detection and elimination of shadows is proposed. This paper presents a method f...

The current research paper is an implementation of Eigen Faces and Karhunen-Loeve Algorithm for face recognition. The designed program works in a manner where a unique identification number is given to each face under trial. These faces are kept in a database from where any particular face can be matched and found out of the available test faces. The Karhunen –Loeve Algorithm has been implement...

This paper introduces the concept of eigen-dynamics and proposes an eigen dynamics analysis (EDA) method to learn the dynamics of natural hand motion from labelled sets of motion captured with a data glove. The result is parameterized with a high-order stochastic linear dynamic system (LDS) consisting of five lower-order LDS. Each corresponding to one eigen-dynamics. Based on the EDA model, we ...

We consider a perturbed Floquet Hamiltonian −i∂t + H + βV (ωt) in the Hilbert space L([0, T ],H, dt). Here H is a self-adjoint operator in H with a discrete spectrum obeying a growing gap condition, V (t) is a symmetric bounded operator in H depending on t 2π-periodically, ω = 2π/T is a frequency and β is a coupling constant. The spectrum Spec(−i∂t + H) of the unperturbed part is pure point and...

IV. Quantum anomalous Hall effect in a T -violating topological insulator model 10 A. 1d model 10 B. 2d model 12 C. Quantized Hall conductivity of the 2d bulk system topological invariant 13 1. Bulk eigen-states 13 2. Coupling to an external constant electric field Adiabatic eigen-states 14 3. Time-dependent perturbation theory based on adiabatic eigen-states 14 4. Adiabatic current 15 5. Hall ...

We exhibit a stochastic discrete time model that has the Eigen model as its deterministic continuous limit. Such model can be divided into two phases: reproduction followed by neutral selection. This result suggests that Eigen model describes the competition among individuals differing for reproductive capability but equivalent as survivors. We explicitly write down the Markov matrix of the sto...