The reconstruction of a particle concentration in Magnetic Particle Imaging (MPI) usually involves the solution of a linear system of equations [1]. The acquisition and storage of the system matrix is challenging in practice: The acquisition time is proportional to the discretisation of the field of view (FOV). Assuming optimistic conditions, the system matrix acquisition lasts about two days f...

Abstract: Hyperspectral unmixing aims to obtain the hidden constituent materials and the corresponding fractional abundances from mixed pixels, and is an important technique for hyperspectral image (HSI) analysis. In this paper, two characteristics of the abundance variables, namely, the local spatial structural feature and the statistical distribution, are incorporated into nonnegative matrix ...

Recently, so called annihilating filer-based low rank Hankel matrix (ALOHA) approach was proposed as a powerful image inpainting method. Based on the observation that smoothness or textures within an image patch corresponds to sparse spectral components in the frequency domain, ALOHA exploits the existence of annihilating filters and the associated rank-deficient Hankel matrices in the image do...

This paper presents multispectral texture analysis for classification based on a generalized cooccurrence matrix. Statistical and texture features have been obtained from the first order probability distribution and generalized cooccurrence matrix. The features along with the gray value of the selected pixels are fed into the neural network. Frist, Self Organizing Map (SOM) that is an unsupervi...

In this paper, based on generalized Arnold Transform (GAT), a novel image zero-watermarking scheme with spread spectrum and despreading (SSD) techniques is presented by using spatial domain of watermark image. GAT is obtained by adding number of variables, and SSD is introduced from communication field to deal with pixels of watermark image. First of all, GAT is used to scramble an original wat...

Let Ω be a C∞-smooth bounded domain of R, n ≥ 1, and let the matrix a ∈ C(Ω;R 2 ) be symmetric and uniformly elliptic. We consider the L(Ω)-realization A of the operator −div(a∇·) with Dirichlet boundary conditions. We perturb A by some real valued potential V ∈ C∞ 0 (Ω) and note AV = A + V . We compute the asymptotic expansion of tr ( eV − e ) as t ↓ 0 for any matrix a whose coefficients are h...

Sparse unmixing (SU) can represent an observed image using pure spectral signatures and corresponding fractional abundance from a large library is important technique in hyperspectral unmixing. However, the existing SU algorithms mainly exploit spatial information fixed neighborhood system, which not sufficient. To solve this problem, we propose nonlocal weighted algorithm based on global searc...