It is well known that the output of Fourier Transform in general is orientation dependent. As such, by applying a two-dimensional (2D) discrete Fast Fourier Transform (FFT) onto an image with oriented pattern, the output image will show a clustering around a specific orientation. By strengthening the points located in the cluster and suppressing the points outside of this cluster, the oriented ...

In this paper, we consider the joint design of data compression and 802.15.4-based medium access control (MAC) protocol for smartgrids with renewable energy. We study the setting where a number of nodes, each of which comprises electricity load and/or renewable sources, report periodically their injected powers to a data concentrator. Our design exploits the correlation of the reported data in ...

We propose in this paper a novel two-stage Projection Correction Modeling (PCM) framework for image reconstruction from (non-uniform) Fourier measurements. PCM consists of a projection stage (P-stage) motivated by the multi-scale Galerkin method and a correction stage (C-stage) with an edge guided regularity fusing together the advantages of total variation (TV) and total fractional variation (...

Breast imaging systems must recognize very small lesions at early stage of detection in order to save lives and reduce costs. The clinical amplitude–velocity reconstruction imaging (CARI), a recent breast imaging technique, is based on the differentiation of velocity and attenuation of ultrasound wave propagating through the breast tissues. Moreover, the method is experimentally verified to hav...

In this paper we describe a hierarchical method for procedurally generating 2D game maps using multi-dimensional Markov chains (MdMCs). Our method takes a collection of 2D game maps, breaks them into small chunks and performs clustering to find a set of chunks that correspond to high-level structures (high-level tiles) in the training maps. This set of high-level tiles is then used to re-repres...

This chapter introduces 2D and 3D GaussianHermite moments and rotation invari-ants constructed from them. Thanks to their numerical stability, GaussianHermite moments provide better reconstruction and recognition power than the geometric and most of other orthogonal moments while keeping the simplicity of design of the invari-ants. This is illustrated by experiments on real 2D and 3D data. 7.1 ...

As the development of the PSOR method (a point parallel SOR method by mesh domain partitioning proposed in [SIAM J. Sci. Comput., 20 (1999), pp. 2261–2281], this paper introduces a new mesh domain partition and ordering (the multitype partition and ordering), and proposes a new block parallel SOR (BPSOR) method for numerically solving 2-dimensional (2D) or three-dimensional (3D) elliptic bounda...

Previously, we proposed a physically-inspired method to construct data points into an effective in-tree (IT) structure, in which the underlying cluster structure in the dataset is well revealed. Although there are some edges in the IT structure requiring to be removed, such undesired edges are generally distinguishable from other edges and thus are easy to be determined. For instance, when the ...

Groundwater in coastal areas is commonly disturbed by tidal fluctuations. A two-dimensional analytical solution is derived to describe the groundwater fluctuation in a leaky confined aquifer system near open tidal water under the assumption that the groundwater head in the confined aquifer fluctuates in response to sea tide whereas that of the overlying unconfined aquifer remains constant. The ...

applying 2d algorithms for inverting the potential field data is more useful and efficient than their 3d counterparts, whenever the geologic situation permits. this is because the computation time is less and modeling the subsurface is easier. in this paper we present a 2d inversion algorithm for interpreting gravity data by employing a set of constraints including minimum distance, smoothness,...