منابع مشابه
Ridge wavelets on the ball
We present a ridge polynomial wavelet-type system on the unit ball in R such that any continuous function can be expanded with respect to these wavelets. The order of the growth of the degrees of polynomials is optimal. Coefficient functionals are the inner products of the function and the corresponding elements of a ”dual wavelet system”. The ”dual wavelets” is also a ridge polynomial system w...
متن کاملFlaglets: Exact Wavelets on the Ball
We summarise the construction of exact axisymmetric scalediscretised wavelets on the sphere and on the ball. The wavelet transform on the ball relies on a novel 3D harmonic transform called the Fourier-Laguerre transform which combines the spherical harmonic transform with damped Laguerre polynomials on the radial half-line. The resulting wavelets, called flaglets, extract scale-dependent, spat...
متن کاملORTHOGONAL AND SYMMETRIC HAAR WAVELETS ON THE THREE - DIMENSIONAL BALL by Andy Chow
ORTHOGONAL AND SYMMETRIC HAAR WAVELETS ON THE THREE-DIMENSIONAL BALL Andy Chow Master of Science Graduate Department of Computer Science University of Toronto 2010 Spherical signals can be found in a wide range of fields, including astronomy, computer graphics, medical imaging and geoscience. An efficient and accurate representation of spherical signals is therefore essential for many applicati...
متن کامل3D weak lensing with spin wavelets on the ball
We construct the spin flaglet transform, a wavelet transform to analyse spin signals in three dimensions. Spin flaglets can probe signal content localised simultaneously in space and frequency and, moreover, are separable so that their angular and radial properties can be controlled independently. They are particularly suited to analysing of cosmological observations such as the weak gravitatio...
متن کاملFourier-Laguerre transform, convolution and wavelets on the ball
We review the Fourier-Laguerre transform, an alternative harmonic analysis on the three-dimensional ball to the usual Fourier-Bessel transform. The Fourier-Laguerre transform exhibits an exact quadrature rule and thus leads to a sampling theorem on the ball. We study the definition of convolution on the ball in this context, showing explicitly how translation on the radial line may be viewed as...
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ژورنال
عنوان ژورنال: PAMM
سال: 2005
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200510362