Hierarchical Solution of PDEs Using Wavelets. (9999)
Williams, John R., Amaratunga, Kevin
In engineering problems, we often require a quick rough estimate of the solution at the preliminary stage, which may later be refined as the design or investigation progresses. The multiresolution...
John Williams, Nabha Rege, Kevin Amaratunga
In this paper we use a discrete element method to explore the propagation of waves through granular materials consisting of particles with different geometric shapes. We present results for a variety...
John R. Williams, Kevin Amaratunga, Nabha Rege
In this paper we describe an element-free Boundary Point Method (BPM) for the deformation analysis of solid bodies. The Boundary Point Method uses Gaussian basis functions with radial symmetry which...
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In this paper, we provide an introduction to wavelet representations for complex surfaces (surface wavelets), with the goal of demonstrating their potential for 3D scientific and engineering...
FAST WAVELET COMPUTATION OF 3D INTEGRAL PROBLEMS ON UNSTRUCTURED GRIDS (2007)
Abstract. A new class of wavelet bases with interpolating properties are constructed on complex geometries. Specializing to piecewise polynomials, we obtain a family of bases whose scaling functions...
A Fast Wavelet Algorithm for the Reduction of Color Information (2007)
Color depth reduction is a common operation in the processing of image data, particularly for image file format conversion or for mapping images to display hardware. A problem of particular interest...
We describe how wavelet representations can be used to efficiently model large spatial data sets, including 3D data on irregular grids. The main advantage of such representations is that they produce...
Solution of the Plane Strain Problem in 2D Elasticity Using the Boundary Point Method (2007)
John R. Williams, Kevin Amaratunga
The Boundary Point Method (BPM) was proposed by Maz'ya [1] as a new approach for the discretization of boundary integral equations. The method differs from the Boundary Element Method (BEM) in...
Interpolating Wavelets on Unstructured Grids for the Fast Computation of 3D Integral Problems (2007)
In this paper we present an approach to construct second generation interpolating wavelets to compress the class of intergral operators of the form R K(x # y)dy over an unstructured grid in 3-D. This...
We describe various wavelet-based prioritization techniques that lead to efficient models for data intensive inverse problems commonly arising in engineering applications. Computer simulations of...
Ying-jui Chen, Soontorn Oraintara, Kevin Amaratunga
This paper presents a lifting-domain design of filter banks with a given McMillan degree. It is based on the M-channel lifting factorizations of the degree-0 and 1 building blocks I 2uv + and uv + +...
Problems Using Finite, Raghunathan Sudarshan, Raghunathan Sudarshan, Kevin Amaratunga, Kevin Amaratunga
Many problems in structural mechanics, for example, the determination of critical buckling loads and response to periodic loading can be recast as standard or generalized eigenvalue problems....
A multiresolution finite element method using second generation Hermite multiwavelets (2007)
Raghunathan Sudarshan Stefan, Kevin Amaratunga
In this article, we describe the construction of second generation finite element multiwavelets of the Hermite family. We also give expressions for the fast wavelet transform for these bases. We then...
Wavelet Triangulated Irregular Networks (2003)
GIS applications have recently begun to emerge on the Internet. The management of three-dimensional geographic datasets in this distributed environment poses a particularly challenging problem, which...
Design of a distributed, interactive online GIS viewer using wavelets. Forthcoming ASCE (2002)
Jingsong Wu, Kevin Amaratunga, Royol Chitradon
The purpose of this paper is to develop a distributed interactive online GIS (DIOGIS) viewer using wavelet technology. Wavelet analysis is a new mathematical tool that can transform information into...
Multiplierless Approximation of Transforms with Adder Constraint (2002)
Ying-jui Chen, Student Member, Soontorn Oraintara, Trac D. Tran, Kevin Amaratunga, Truong Q. Nguyen, ...
This letter describes an algorithm for systematically finding a multiplierless approximation of transforms by replacing floating-point multipliers with VLSI-friendly binary coefficients of the form 2...
Automatic Road Detection in Grayscale Aerial Images (2000)
Katherine Treash, Kevin Amaratunga
Abstract: Digital aerial photography provides a useful starting point for computerized map generation. Features of interest can be extracted using a variety of image-processing techniques, which...
Design of an Online GIS Viewer by Wavelet Technology (2000)
Jingsong Wu, Kevin Amaratunga, Tuck Meng Lui
Along with the high-speed development of the Internet, users have begun to expect highly interactive online GIS. Wavelet technology provides an efficient approach to achieve this. Wavelet analysis is...
A discrete wavelet transform without edge effects using wavelet extrapolation (1995)
John R. Williams, Kevin Amaratunga, John R. Williamsy, Kevin Amaratungaz
The Discrete Wavelet Transform (DWT) is of considerable practical use in image and signal processing applications. For example, significant compression can be achieved through the use of the DWT. A...
Wavelet Based Green's Function Approach to 2D PDEs (1993)
Kevin Amaratunga, John R. Williams
In this paper we describe how wavelets may be used to solve partial differential equations. These problems are currently solved by techniques such as finite differences, finite elements and...