The so-called “smooth orthogonal decomposition” technique, developed in the nonlinear vibrations and fatigue community, is applied to an oceanographic data set. This decomposition technique overcomes some limitations of the proper orthogonal decomposition technique by identifying modes which behave smoothly in time and thus being sensitive to both variance amplitude as well as frequency. This i...

Nested orthogonal arrays are useful in obtaining space-filling designs for an experimental set up consisting of two experiments, the expensive one of higher accuracy to be nested in a larger inexpensive one of lower accuracy. Systematic construction methods of some families of symmetric and asymmetric nested orthogonal arrays were provided recently by Dey [Discrete Math. 310 (2010), 2831–2834]....

The art gallery problem asks for the smallest number of guards required to see every point of the interior of a polygon P . We introduce and study a similar problem called the chromatic art gallery problem. Suppose that two members of a finite point guard set S ⊂ P must be given different colors if their visible regions overlap. What is the minimum number of colors required to color any guard s...

A disk-allocation method assigns a disk-id to each unit of spatial data. Allocating spatial data over multiple disks to distribute the I/O cost of query processing uniformly over available disks can tremendously speed up the processing. An allocation method is called perfect for a query set if it balances the I/O load on each disk in processing any query in a query set. Some of the interesting ...

Direct orthogonal signal correction(DOSC) and Savitzky-Golay filters (SGF) were applied as preprocessing methods on the original and first derivative absorbance data. Principle component regression (PCR), partial least squares (PLS) and iterative target transformation factor analysis (ITTFA), were used in spectrophotometric simultaneous determination of heavy divalent metal ions, l...

— This paper proposes an algorithm to search a family of multiple sets of minimum correlated one dimensional uni-polar (optical) orthogonal codes (1-DUOC) or optical orthogonal codes (OOC) with fixed as well as variable code parameters. The cardinality of each set is equal to upper bound. The codes within a set can be searched for general values of code length 'n', code weight 'w', auto-correla...

Reconstructing discrete bidimensional sets from their projections is involved in many different problems of computer-aided tomography, pattern recognition, image processing and data compression. In this paper, we examine the problem of reconstructing a discrete bidimensional set S satisfying some convexity conditions from its two orthogonal projections (H, v). We develop an algorithm that start...

This paper introduces a new set of orthogonal moment functions based on the discrete Tchebichef polynomials. The Tchebichef moments can be effectively used as pattern features in the analysis of two-dimensional images. The implementation of moments proposed in this paper does not involve any numerical approximation, since the basis set is orthogonal in the discrete domain of the image coordinat...

direct orthogonal signal correction(dosc) and savitzky-golay filters (sgf) were applied as preprocessing methods on the original and first derivative absorbance data. principle component regression (pcr), partial least squares (pls) and iterative target transformation factor analysis (ittfa), were used in spectrophotometric simultaneous determination of heavy divalent metal ions, lead, zinc,mer...

The control and thus sensing of radiation from three-dimensional noise sources has become a topic of strong interest as investigation moves away from the laboratory. Furthermore, the advance in signal processing power has facilitated the real-time fusion of a large number of sensor signals, which are typically required to give an accurate estimate of global error signals. Current state-of-the-a...