منابع مشابه
Discrete analytical Ridgelet transform
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متن کاملRidgelet transform on the sphere
We first revisit the spherical Radon transform, also called the Funk-Radon transform, viewing it as an axisymmetric convolution on the sphere. Viewing the spherical Radon transform in this manner leads to a straightforward derivation of its spherical harmonic representation, from which we show the spherical Radon transform can be inverted exactly for signals exhibiting antipodal symmetry. We th...
متن کاملExtension of Ridgelet Transform to Tempered Boehmians
We extend the ridgelet transform to the space of tempered Boehmians consistent with the ridgelet transform on the space of tempered distributions. We also prove that the extended ridgelet transform is continuous, linear, bijection and the extended adjoint ridgelet transform is also linear and continuous. AMS Mathematics Subject Classification (2010): 44A15, 44A35, 42C40
متن کاملThe finite ridgelet transform for image representation
The ridgelet transform was introduced as a sparse expansion for functions on continuous spaces that are smooth away from discontinuities along lines. We propose an orthonormal version of the ridgelet transform for discrete and finite-size images. Our construction uses the finite Radon transform (FRAT) as a building block. To overcome the periodization effect of a finite transform, we introduce ...
متن کاملOrthonormal Finite Ridgelet Transform for Image Compression
A finite implementation of the ridgelet transform is presented. The transform is invertible, non-redundant and achieved via fast algorithms. Furthermore we show that this transform is orthogonal hence it allows one to use non-linear approximations for the representation of images. Numerical results on different test images are shown. Those results conform with the theory of the ridgelet transfo...
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ژورنال
عنوان ژورنال: Signal Processing
سال: 2004
ISSN: 0165-1684
DOI: 10.1016/j.sigpro.2004.07.009