Proceedings ArticleDOI
Real-valued discrete Gabor transform for image representation
Liang Tao,Hon Keung Kwan +1 more
- Vol. 2, pp 589-592
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TLDR
The 1-D real valued discrete Gabor transform (RDGT) is extended to the 2-D case for image representation and how to apply the discrete Hartley transform (DHT) to compute the2-D RDGT coefficients of an image and to reconstruct the original image from the coefficients efficiently is discussed.Abstract:
In this paper, we extend the 1-D real valued discrete Gabor transform (RDGT), proposed in our previous work, to the 2-D case for image representation and discuss how to apply the discrete Hartley transform (DHT) to compute the 2-D RDGT coefficients of an image and to reconstruct the original image from the coefficients efficiently. Meanwhile, as in the 1-D case, the 2-D RDGT also bears a simple relationship with the complex valued discrete Gabor transform (CDGT) so that the 2-D CDGT coefficients can be directly obtained from the 2-D RDGT coefficients, Moreover, through experiments, we shall show that the 2-D RDGT coefficients have much more degree of information decorrelation than the 2-D CDGT coefficients because both the magnitudes and the phases of the complex coefficients need to be separately quantized.read more
Citations
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Proceedings ArticleDOI
Efficient edge detection and object segmentation using Gabor filters
TL;DR: This study analyzes the filter design essentials and proposes two different methods to segment the Gabor filtered multi-channel images, which integrates Gabor filters with labeling algorithm for edge detection and object segmentation.
Journal ArticleDOI
A Split Vector-Radix Algorithm for the 3-D Discrete Hartley Transform
TL;DR: This algorithm offers substantial reductions in the numbers of multiplications, additions, data transfers, and twiddle factor evaluations or accesses to the look-up table, without a significant increase in the structural complexity compared to that of the existing 3-D vector radix FHT algorithm.
Journal ArticleDOI
Noise Reduction for NMR FID Signals via Oversampled Real-Valued Discrete Gabor Transform
Liang Tao,Hon Keung Kwan +1 more
TL;DR: Theoretical and simulation experimental analyses show that the oversampled Gabor transform using the Gaussian synthesis window is more suitable for the NMR FID signal enhancement than the critically-sampled one using the exponential synthesis window.
Journal ArticleDOI
Block Time-Recursive Real-Valued Discrete Gabor Transform Implemented by Unified Parallel Lattice Structures
Liang Tao,Hon Keung Kwan +1 more
TL;DR: Block time-recursive RDGT algorithms for the efficient and fast computation of the 1-D RDGT coefficients and for the fast reconstruction of the original signal from the coefficients are developed in the critical sampling case and the oversampling case.
Fast Parallel Approach for 2-D DHT-Based Real-Valued
Liang Tao,Hon Keung Kwan +1 more
TL;DR: In this article, two block time-recursive algorithms for 2D DHT-based real-valued discrete Gabor transform (RDGT) and its inverse transform are presented for real-time image processing.
References
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Journal ArticleDOI
Complete discrete 2-D Gabor transforms by neural networks for image analysis and compression
TL;DR: A three-layered neural network based on interlaminar interactions involving two layers with fixed weights and one layer with adjustable weights finds coefficients for complete conjoint 2-D Gabor transforms without restrictive conditions for image analysis, segmentation, and compression.
Journal ArticleDOI
Discrete Gabor expansions
J. Wexler,S. Raz +1 more
TL;DR: This work seeks to convert the Gabor representation into a discrete and finite format that is directly suitable for numerical implementation, facilitating the selection of arbitrary window functions as well as arbitrary oversampling rates.
Journal ArticleDOI
Discrete Hartley transform
TL;DR: The discrete Hartley transform (DHT) resembles the discrete Fourier transform (DFT) but is free from two characteristics of the DFT that are sometimes computationally undesirable and promises to speed up Fourier-transform calculations.
Journal ArticleDOI
Discrete Gabor transform
Shie Qian,Dapang Chen +1 more
TL;DR: The discrete Fourier transform (DGT) introduced provides a feasible vehicle to implement the useful Gabor expansion by exploiting the nonuniqueness of the auxiliary biorthogonal function at oversampling an orthogonal like DGT.
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