In this paper we study 2D nonseparable filter banks that annihilate information along a certain discrete direction. This is done by having filters with directional vanishing moments (DVM). We study the approximation p...
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In this paper we study 2D nonseparable filter banks that annihilate information along a certain discrete direction. This is done by having filters with directional vanishing moments (DVM). We study the approximation property of such filters and the design problem providing conditions for its solvability. In particular, we completely characterize the solution and propose a design procedure utilizing the mapping technique. Nonlinear approximation experiments with the contourlet transform indicate that compared with the traditional filters, the new filters designed with DVM provide gains in SNR and visual quality due to their short size.
The emergence of digital multimedia and the proliferation of its use have raised major concerns about the protection of intellectual property. In response to these concerns, digital watermarks have emerged as a possib...
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The emergence of digital multimedia and the proliferation of its use have raised major concerns about the protection of intellectual property. In response to these concerns, digital watermarks have emerged as a possible solution for protecting the intellectual property of digital content. In this paper, we derive estimates of data-hiding capacity of balanced multiwavelet transforms. This class of transforms, relatively new, has useful properties for imageprocessingapplications as shown in this paper. Furthermore, we investigate the relevance of two closely related statistical models, developed for scalar wavelets, for modeling the statistics of balanced multiwavelet transform coefficients. Finally, we present performance results of a spread spectrum watermarking system that is based on this new transform.
A novel summation invariant of curves under transformation group action is proposed. This new invariant is less sensitive to noise than the differential invariant and does not require an analytical expression for the ...
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A novel summation invariant of curves under transformation group action is proposed. This new invariant is less sensitive to noise than the differential invariant and does not require an analytical expression for the curve as the integral invariant does. We exploit this summation invariant to define a shape descriptor called a semi-local summation invariant and use it as a new feature for shape recognition. Tested on a database of noisy shapes of fish, it was observed that the summation invariant feature exhibited superior discriminating power compared to that of wavelet-based invariant features.
Finite field multirate filter banks can be used to implement the finite field wavelet transform. The finite field wavelet transform has recently found applications in lossless image compression, error control coding a...
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Finite field multirate filter banks can be used to implement the finite field wavelet transform. The finite field wavelet transform has recently found applications in lossless image compression, error control coding and cryptography. Over the real field the polyphase form of the paraunitary multirate filter bank can be factored into lattice structures to reduce implementation complexity. Here we examine the factorisation of the paraunitary polyphase matrix over finite fields of characteristic two, i.e. (GF(2/sup r/)), and identify further improvements when compared to a direct polyphase implementation. Implementation complexity in terms of MPUs and APUs is examined.
A cost effective bit-plane coder with throughput enhancement in JPEG2000 applications is proposed. Many papers and the results of chip implementation show that memory requirement dominates the hardware cost of the bit...
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ISBN:
(纸本)0780388747
A cost effective bit-plane coder with throughput enhancement in JPEG2000 applications is proposed. Many papers and the results of chip implementation show that memory requirement dominates the hardware cost of the bit-plane coder. In order to reduce the memory size, a memory-free algorithm is proposed to eliminate state variable memories by calculating three coding state variables (/spl gamma//sub p+1/[n], /spl sigma//sub p+1/[n], and /spl pi//sub p/[n]) on the fly. We also propose a stripe-column-based pass-parallel operation to perform three coding passes in pipeline operation and to encode four samples within the stripe-column concurrently for the high throughput requirement. Experimental results show that the hardware cost and memory size of the proposed architecture is smaller than other existing architectures because of the proposed memory-free algorithm. Furthermore, the proposed architecture has 3 times greater throughput than other familiar architectures.
This paper aims at reviewing the recent published works dealing with industrial applications of wavelet and, more generally speaking, multiresolution analysis. After a quick recall in a simple overview of the basics o...
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ISBN:
(纸本)0819455601
This paper aims at reviewing the recent published works dealing with industrial applications of wavelet and, more generally speaking, multiresolution analysis. After a quick recall in a simple overview of the basics of wavelet transform and of its main variations, some of its applications are reviewed domain by domain, beginning with signalprocessing, continuous and discrete wavelet transform proceeding with imageprocessing and applications. More than 150 recent papers are presented in these two sections.
The denoising of a natural image corrupted by Gaussian noise is a classical problem in signal or imageprocessing. Donoho and his coworkers at Stanford pioneered a wavelet denoising scheme by thresholding the wavelet ...
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The denoising of a natural image corrupted by Gaussian noise is a classical problem in signal or imageprocessing. Donoho and his coworkers at Stanford pioneered a wavelet denoising scheme by thresholding the wavelet coefficients arising from the standard discrete wavelet transform. This work has been widely used in science and engineering applications. However, this denoising scheme tends to kill too many wavelet coefficients that might contain useful image information. In this paper, we propose one waveletimage thresholding scheme by incorporating neighbouring coefficients, namely NeighShrink. This approach is valid because a large wavelet coefficient will probably have large wavelet coefficients as its neighbours. Experimental results show that NeighShrink is better than the Wiener filter and the conventional wavelet denoising approaches: VisuShrink and SUREShrink. We also investigate different neighbourhood sizes and find that a size of 3 x 3 is the best among all window sizes.
Transform methods have played an important role in signal and imageprocessingapplications. Recently, Selesnick has constructed the new orthogonal discrete wavelet transform, called the slantlet wavelet, with two zer...
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ISBN:
(纸本)0819452017
Transform methods have played an important role in signal and imageprocessingapplications. Recently, Selesnick has constructed the new orthogonal discrete wavelet transform, called the slantlet wavelet, with two zero moments and with improved time localization. The discrete slantlet wavelet transform is carried out by an existing filterbank which lacks a tree structure and has a complexity problem. The slantlet wavelet has been successfully applied in compression and denoising. In this paper, we present a new class of orthogonal parametric fast Haar slantlet transform system where the slantlet wavelet and Haar transforms are special cases of it. We propose designing the slantlet wavelet transform using Haar slantlet transform matrix. A new class of parametric filterbanks is developed. The behavior of the parametric Haar slantlet transforms in signal and image denoising is presented. We show that the new technique performs better than the slantlet wavelet transform in denoising for piecewise constant signals. We also show that the parametric Haar slantlet transform performs better than the cosine and Fourier transforms for grey level images.
The wavelet transform and inverse transform algorithm are introduced. The medical image plays an important role in clinical diagnosis and therapy of doctor and teaching and researching. This paper gives reviews of som...
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ISBN:
(纸本)0780384032
The wavelet transform and inverse transform algorithm are introduced. The medical image plays an important role in clinical diagnosis and therapy of doctor and teaching and researching. This paper gives reviews of some applications in medical image with wavelet, such as ECG signalprocessing, EEG signalprocessing, medical image compression, medical image reinforcing and edge detection, medical image register. With the further development of wavelet theory, wavelet transform will be widely applied to the domain of medical image.
The wavelet coefficients in 2-D discrete wavelet transform (DWT) subspaces have a peaky, heavy-tailed marginal distribution that can be well described by a Gaussian mixture statistical model. In this paper, a multisca...
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The wavelet coefficients in 2-D discrete wavelet transform (DWT) subspaces have a peaky, heavy-tailed marginal distribution that can be well described by a Gaussian mixture statistical model. In this paper, a multiscale implementation of fragile watermarks based on the Gaussian mixture model is presented. The presented new method can embed a message bit stream, such as personal signatures or copyright logos, into a host image. With the embedded message bits spreading over the whole image area, the new method can detect and localize any image tampering since it will inevitably destroy a certain message bits. Compared with some other fragile watermark techniques, the statistical model based method modifies only a very small amount of image data to embed watermarks and the modification is hardly perceived by human vision because it occurs at texture edges. Besides, the multiscale implementation of fragile watermarks based on the presented method can help distinguish some normal image operations such as compression from malicious attacks, which is meaningful in terms of semi-fragile watermarking applications.
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