This paper demonstrates the use of shape-preserving exponential interpolation in a characteristic based numerical scheme for the solution of the linear advective-diiusion equation. The results from this scheme are compared with results from a number of numerical schemes in current use using test problems in one-and two-dimensions. These test cases are used to assess the merits of using shape-pr...

Acoustical-based imaging techniques have found merit in determining the behavior of vibrating structures. These techniques are commonly used in numerous applications to obtain detailed noise source information and energy distributions on source surfaces. Source reconstructions using near-field acoustical holography NAH are reliant upon accurate measurement of the pressure field at the hologram ...

Wireless sensor networks (WSNs) are rapidly emerging as the prominent technology for monitoring physical phenomena. However, large scale WSNs are known to suffer from coverage holes, i.e., large regions of deployment area where no sensing coverage can be provided. Such holes are the result of hardware failures, extensive costs for redeployment or the hostility of deployment areas. Coverage hole...

We describe a new method for analyzing, classifying, and evaluating filters that can be applied to interpolation filters as well as to arbitrary derivative filters of any order. Our analysis is based on the Taylor series expansion of the convolution sum. Our analysis shows the need and derives the method for the normalization of derivative filter weights. Under certain minimal restrictions of t...

This paper presents a method to improve the generation of meshes and the accuracy of numerical solutions of elasticity problems, in which two techniques of h-refinement and enrichment are used by interpolation cover functions. Initially, regions which possess desired accuracy are detected. Mesh improvment is done through h-refinement for the elements existing in those regions. Total error of th...

The present study dealt with the problem of interpolating a continuous digital elevation model (DEM) from contour lines. Several methods were developed that make use of an interpolation algorithm. The basic idea behind the methodology has been the use of tools provided in a standard raster geographic information system (GIS) environment and the avoidance of problems related to the triangulation...

A Neural Network Approach to Efficient Valuation of Large VA Portfolios Seyed Amir Hejazi Doctor of Philosophy Graduate Department of Computer Science University of Toronto 2016 Variable annuity (VA) products expose insurance companies to considerable risk because of the guarantees they provide to buyers of these products. Managing and hedging the risks associated with VA products requires intr...

We present a fast and accurate tool for semiautomatic segmentation of volumetric medical images based on the live wire algorithm, shape-based interpolation and a new optimization method. While the user-steered live wire algorithm represents an efficient, precise and reproducible method for interactive segmentation of selected twodimensional images, the shape-based interpolation allows the autom...

In this paper, we attempt to reveal the precise relation between the error of linear interpolation on a general triangle and the geometric characters of the triangle. Taking the model problem of interpolating quadratic functions, we derive two exact formulas for the H1-seminorm and L2-norm of the interpolation error in terms of the area, aspect ratio, orientation, and internal angles of the tri...