Results 121 to 130 of about 1,107 (155)

Ridgelet transform for quarternion-valued functions

International Journal of Wavelets, Multiresolution and Information Processing, 2016
Using the convolution of quaternion-valued functions on [Formula: see text], we define the ridgelet transform on square integrable quaternion-valued functions on [Formula: see text]. We also prove the properties of the ridgelet transform such as linearity, continuity, Parseval’s identity and inversion formula.
Lakshmanan Akila, Rajakumar Roopkumar
openaire   +2 more sources

Orthonormal Ridgelets and Linear Singularities

SIAM Journal on Mathematical Analysis, 2000
Summary: We construct a new orthonormal basis for \(L^2({\mathbb R}^2)\), whose elements are angularly integrated ridge functions -- \textit{orthonormal ridgelets}. The basis elements are smooth and of rapid decay in the spatial domain, and in the frequency domain are localized near angular wedges which, at radius \(r = 2^j\), have radial extent ...
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Texture Classification Using Ridgelet Transform

Sixth International Conference on Computational Intelligence and Multimedia Applications (ICCIMA'05), 2006
Texture classification has long been an important research topic in image processing. Now a day's classification based on wavelet transform is being very popular. Wavelets are very effective in representing objects with isolated point singularities, but failed to represent line singularities.
Arivazhagan Selvaraj, L. Ganesan, T. G. Subash Kumar   +2 more
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BayesShrink Ridgelets for Image Denoising

2004
The wavelet transform has been employed as an efficient method in image denoising via wavelet thresholding and shrinkage. The ridgelet transform was recently introduced as an alternative to the wavelet representation of two dimensional signals and image data.
Nezamoddin Nezamoddini-Kachouie, Paul W. Fieguth, Ed Jernigan   +2 more
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Ridgelet Methods for Linear Transport Equations

2015
In this paper we present an overview of a novel method for the numerical solution of linear transport equations, which is based on ridgelets and has been introduced in [12, 16]. Such equations arise for instance in radiative transfer or in phase contrast imaging.
Grohs Philipp, Obermeier Axel
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Ridgelet-based fake fingerprint detection

Neurocomputing, 2009
Perspiration phenomenon is very significant to detect liveness of a finger. However, it requires two consecutive fingerprints to notice perspiration, and therefore it may not be suitable for real-time authentications. Some other methods in the literature need extra hardware to detect liveness.
Shankar Bhausaheb Nikam, Suneeta Agarwal
openaire   +1 more source

Incremental constructive ridgelet neural network

Neurocomputing, 2008
In this paper, a new kind of neural network is proposed by combining ridgelet with feedforward neural network (FNN). The network adopts ridgelet as the activation function in the hidden layer, and an incremental constructive method is employed to determine the structure of the network.
Shuyuan Yang 0001, Min Wang 0007, Licheng Jiao   +2 more
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Fingerprint classification by Block Ridgelet and SVM

10th International Conference on Information Science, Signal Processing and their Applications (ISSPA 2010), 2010
The present article focuses on the classification of fingerprints. Our aim goal is to unify the process of fingerprint compression, classification and identification. The well known methods suited to these tasks are based on WSQ (Wavelet Scalar Quantization) for compression, Gabor filters for classification and minutiae matching for identification.
Amina Serir, Farida Bennabes
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Monoscale Dual Ridgelet Frame

2005
A new system—Monoscale Dual Ridgelet Frame (MDRF) is constructed in this paper, which can be viewed as a generalized version of Monoscale Ridgelet introduced by Candes. The MDRT takes the Dual Ridgelet Frame as its basic component. We show that localizing the Dual Ridgelet Frame into small squares, dyadic partition of [0, 1]2, constitutes a dual frame ...
Tan Shan, Licheng Jiao
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Quaternion Ridgelet Transform and Curvelet Transform

Advances in Applied Clifford Algebras, 2018
The relationships between the Fourier, Radon, wavelet, ridgelet, curvelet transforms for real-valued functions have been extensively studied and are well known. The paper under review extends some of these relationships to quaternion-valued functions. A quaternion \(a\) can be represented as \[ a=a_0+a_1 i+a_2 j+a_3 k, \] with \[ ij=k,\; jk=i,\; ki=j,\;
Ma, Guangsheng, Zhao, Jiman
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