Here k = (kx, ky, kz) is the wave vector, and a1=12x^+32y^, a2=−12x^+32y^ and a3=z^ are three basic vectors. Fig. 1: 3D stacked HK TB model. a Illustration of an infinite 3D stacked HK TB model. The unit cell including five nodes is represented by the dashed...
Only in a few cases variational models are extended to the case of vector-valued inputs. However, the known implementations are restricted to 1st-order models, while 2nd-order models are never considered. Thus, typical problems of 1st-order models such as the staircasing effect cannot be ...
The article presents a study on image denoising through the use of gradient vector convolution (GVC) model. It also discusses the justification of partial differential equations (PDEs). The article notes the effectivity of second-order anisotropic diffusion the GVC model and mentions the use of Eul...
Full size image Our findings also hold when we control the simplicial complex and random hypergraph to have the same number of connections (see Supplementary Fig. S1) and for simplicial complexes obtained by filling empty triangles in random hypergraphs33, as shown in Supplementary Fig. S2. We ...
According to (1.16) the exponent ηq0 depends on the modulus of elasticity of the crystal, the reciprocal lattice vector, and the temperature. The elastic energy of an isotropic two-dimensional crystal is given by the formula (Landau and Lifshitz, 1986) (1.17)H=∫dxdyλ2uxx+uyy2+μuxx2...
Color image restorationColor image decompositionIn this paper, a vector total fractional-order variation (VTV-beta) is proposed. Then, VTV-beta model and G(beta)(Omega) model are proposed for color image denoising and decomposition, respectively. Some properties of the VTV-beta are investigated ...
This paper presents an algorithm for scalable compression using tree structured vector quantization (TSVQ) of perceptually weighted block, lapped, or wavel... N Chaddha,PA Chou,THY Meng - International Conference on Image Processing 被引量: 27发表: 1995年 A new steganographic scheme based on ve...
Training of a neural network for image superresolution based on a nonlinear interpolative vector quantizer The Bega Valley Sewerage Program is the first project or program of its kind in regional NSW. It is unique because: 1. it aggregates a number of small proj... CA Dávila,BR Hunt - 《...
the first order scattering solution of each thin layer with Fourier transform is employed to derive high order scattering solution of the whole random media.An iterative approach to solve high order scattering solution of a vector radiative transfer (VRT) equation is newly developed.Numerical results...
where with 1 we indicate the N-dimensional column vector of elements 1i = 1. By using the symmetry of the adjacency matrix, i.e. the fact that aij = aji, Eq. (31) implies that the sum of \({\dot{\psi }}_{i}\) over all the nodes of the network is zero, i.e. ...