Kevin Amaratunga

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In this paper we describe how wavelets may be used to solve partial diierential equations. These problems are currently solved by techniques such as nite diierences, nite elements and multi-grid. The wavelet method, however, ooers several advantages over traditional methods. Wavelets have the ability to represent functions at diierent levels of resolution,(More)
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 highlights the need for a good data representation. This paper presents a new multiresolution data representation: the Wavelet Triangulated Irregular Network(More)
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 analyze the image for characteristics such as edges, texture, shape and color. In this work, we develop an automatic road detection system for use on high-resolution(More)
This paper presents a lifting-domain design of filter banks with a given McMillan degree. It is based on the M-channel lifting fac-torizations of the degree-0 and 1 building blocks I − 2uv † and I − uv † + z −1 uv † , with v † u = 1. Paraunitariness further requires u = v. The proposed lifting factorization has a unity diagonal scaling throughout, and(More)
In this paper we describe how wavelets may be used to solve partial diierential equations. These problems are currently solved by techniques such as nite diierences, nite elements and multi-grid. The wavelet method, however, ooers several advantages over traditional methods. Wavelets have the ability to represent functions at diierent levels of resolution,(More)
— Regularity is a fundamental and desirable property of wavelets and perfect reconstruction filter banks. Among others, it dictates the smoothness of the wavelet basis and the rate of decay of the wavelet coefficients. In this paper, we consider how regularity of a desired degree can be structurally imposed onto biorthogonal filter banks (BOFBs), so that(More)
2 SUMMARY 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 computing applications. Surface wavelets were originally developed for representing geometric objects in a multiresolution format in computer graphics. These(More)