منابع مشابه
The Twisted Mellin Transform
The “twisted Mellin transform” is a slightly modified version of the usual classical Mellin transform on L([0,∞)). In this short note we investigate some of its basic properties. From the point of view of combinatorics one of its most interesting properties is that it intertwines the differential operator, df/dx, with its finite difference analogue, ∇f = f(x)−f(x−1). From the point of view of a...
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In this contribution we generalize the classical Fourier Mellin transform [3], which transforms functions f representing, e.g., a gray level image defined over a compact set of R. The quaternionic Fourier Mellin transform (QFMT) applies to functions f : R → H, for which |f | is summable over R+ × S under the measure dθ dr r . R ∗ + is the multiplicative group of positive and non-zero real numbe...
متن کاملWavelet Filtering with the Mellin Transform
It is shown that any convolution operator in the time domain can be represented exactly as a multiplication operator in the time-scale (wavelet) domain. The Mellin transform gives a one-to-one correspondence between frequency filters (system functions) and scale filters (multiplication operators in the scale domain), subject to the convergence of the defining integrals. The usual wavelet recons...
متن کاملInverse Mellin Transform of Holonomic Sequences
We describe a method to compute the inverse Mellin transform of holonomic sequences, that is based on a method to compute the Mellin transform of holonomic functions. Both methods are implemented in the computer algebra package HarmonicSums.
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Human activity recognition is attracting a lot of attention in the computer vision domain. In this paper we present a novel human activity recognition method based on transform and Fourier Mellin Transform (FMT). Firstly, we convert the original image sequence to the Radon domain, get the transform curves by transform. Then we extract the Rotation-Scaling-Translation (RST) invariant features by...
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ژورنال
عنوان ژورنال: New Journal of Physics
سال: 2006
ISSN: 1367-2630
DOI: 10.1088/1367-2630/8/12/328