Recently, Field, Lewicki, Olshausen, and Sejnowski have reported efforts to identify the “Sparse Components” of image data. Their empirical findings indicate that such components have elongated shapes and assume a wide range of positions, orientations, and scales. To date, Sparse Components Analysis (SCA) has only been conducted on databases of small (e.g. 16-by-16) image patches and there seem...

A parametric SAR image formation scheme is proposed in this paper. Based on a model describing the received signal, the parameters of the model can be used to characterize the illuminated scene. A realization of parameter estimation via atomic decomposition is presented. The estimated parameters are then mapped onto the iso-range-Doppler grid to form a SAR image. Simulation results demonstrate ...

Atomic force microscopy (AFM), neutron reflection (NR) and secondary ion mass spectroscopy (SIMS) are used to examine phase separation in symmetrically segregating thin polymer blend films (e1000 Å). Phase separation in the film leads to undulations of the liquid-air interface, provided the film is sufficiently thin to suppress surface-directed spinodal decomposition waves. Flattened droplets a...

Linear polystyrene-stabilized PdO nanoparticles (PS-PdONPs) were prepared by thermal decomposition of Pd(OAc)(2) in the presence of polystyrene. X-ray diffraction (XRD) and transmission electron microscopy (TEM) indicated the production of PdO nanoparticles. The loading of palladium was determined by inductively coupled plasma-atomic emission spectroscopy (ICP-AES). PS-PdONPs exhibited high cat...

A new nanocluster of atomic precision, Au44(SC2H4Ph)32, is obtained by an oxidation-decomposition-recombination (ODR) process from Au25(SC2H4Ph)18 under mild conditions with high yield (75%). Among the investigated gold nanoclusters, Au44(SC2H4Ph)32 exhibits the highest catalytic activity for the reduction of 4-nitrophenol, especially at low temperature, indicating that the catalytic properties...

We report in situ atomic-resolution transmission electron microscopy observations of the oxidation of stepped Cu surfaces. We find that the presence of surface steps both inhibits oxide film growth and leads to the oxide decomposition, thereby resulting in oscillatory oxide film growth. Using atomistic simulations, we show that the oscillatory oxide film growth is induced by oxygen adsorption o...

Atomic sublattice decomposition of piezoelectric response in tetragonal PbTiO3, BaTiO3, and KNbO3 Jing Shi,1,2 Ilya Grinberg,2 Xiaoli Wang,1,* and Andrew M. Rappe2,† 1MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, School of Science, Xi’an Jiaotong University, Xi’an 710049, People’s Republic of China 2The Makineni Theoretical Laboratories, Department of Chemi...

This article is concerned with frame constructions on domains and manifolds. The starting point is a unitary group representation which is square integrable modulo a suitable subgroup and therefore gives rise to a generalized continuous wavelet transform. Then generalized coorbit spaces can be defined by collecting all functions for which this wavelet transform is contained in a weighted Lp-spa...

We show that the vorticity of a viscous flow in R 3 admits an atomic decomposition of the form ω(x, t) = ∞ k=1 ω k (x − x k , t), with localized and oscillating building blocks ω k , if such a property is satisfied at the beginning of the evolution. We also study the long time behavior of an isolated coherent structure and the special behavior of flows with highly oscillating vorticities.