This paper presents the results of the development of an adaptive method for reducing signal-dependent noise, such as speckle noise, in a coherent imaging system signal, such as in medical ultrasound imaging. Speckle ...
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ISBN:
(纸本)0819425915
This paper presents the results of the development of an adaptive method for reducing signal-dependent noise, such as speckle noise, in a coherent imaging system signal, such as in medical ultrasound imaging. Speckle noise is filtered using nonlinear adaptive thresholding of received echo wavelet transform coefficients. Filtering speckle noise in ultrasound imaging enhances the resultant image by improving the signal-to-noise ratio. This method includes the steps of transforming the imaging system signal using discrete wavelet transformation to provide wavelet transform coefficients for each of the wavelet scales having different levels of resolution ranging from a finest wavelet scale to a coarsest wavelet scale;deleting the wavelet transform coefficients representing the finest wavelet scale;identifying, for each wavelet scale other than the finest wavelet scale, which of the wavelet transform coefficients are related to noise and which are related to a true signal through the use of adaptive non-linear thresholding;selecting those wavelet transform coefficients which are identified as being related to a true signal;and inverse transforming the selected wavelet transform coefficients using an inverse discrete wavelet transformation to provide an enhanced true signal with reduced noise. This method is shown to improve the signal-to-noise ratio by 2-5 dB in digital ultrasound images of real and phantom objects for a range of thresholding levels while preserving the contrast differences between regions and maintaining feature edges. The filtered images have an enhanced apparent contrast resulting from the reduction in the speckle noise and the preservation of the contrast differences.
image mosaic combines two or more images. It has found many applications in computer vision, imageprocessing, and computer graphics. A common goal of the problem is to join two or more images such that there is an in...
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ISBN:
(纸本)0780367251
image mosaic combines two or more images. It has found many applications in computer vision, imageprocessing, and computer graphics. A common goal of the problem is to join two or more images such that there is an invisible boundary around the seam line and the mosaic image is as little distortion from the original images as possible. We propose a new image mosaic method by wavelet multiresolution analysis and variational calculus. We first project the images into wavelet spaces. The projected images at each wavelet space are then blended. In our approach, variational calculus techniques are applied to balance the quality between the smoothness around the seam line and the fidelity of the combined image relative to the original images in image blending. A mosaic image is finally obtained by summing the blended images at the wavelet spaces. Experimental results based on our method are demonstrated.
Fractal interpolation functions have become popular after the works of *** and his co-authors on iterated function systems and their applications to data compression3'4. Here, we consider the following problem: gi...
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ISBN:
(纸本)0819422134
Fractal interpolation functions have become popular after the works of *** and his co-authors on iterated function systems and their applications to data compression3'4. Here, we consider the following problem: given a set of values of a fractal interpolation function, recover the contractive affine mappings generating this function. The suggested solution is based on the connection, which is established in the work, between the maxima skeleton of wavelet transform of the function and positions of the fixed points of the affine mappings in question.
Keywords: Fractal interpolation,wavelets, data compression.
In tomographic medical devices such as SPELT or PET cameras, image reconstruction is an unstable inverse problem, due to the presence of additive noise. A new family of regularization methods for reconstruction, based...
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ISBN:
(纸本)0819441929
In tomographic medical devices such as SPELT or PET cameras, image reconstruction is an unstable inverse problem, due to the presence of additive noise. A new family of regularization methods for reconstruction, based on a thresholding procedure in wavelet and wavelet packet decompositions, is studied. This approach is based on the fact that the decompositions provide a near-diagonalization of the inverse Radon transform and of the prior information on medical images. An optimal wavelet packet decomposition is adaptively chosen for the specific image to be restored. Corresponding algorithms have been developed for both 2-D and full 3-D reconstruction. These procedures are fast, non-iterative, flexible, and their performance outperforms Filtered Back-Projection and iterative procedures such as OS-EM.
In this paper, we propose a method based on wavelet coefficients associated with 2D and 1D Local Binary Pattern (LBP) descriptors to classify X-ray bone images for bone disease diagnosis. The proposed approach uses tw...
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ISBN:
(纸本)9781467325851;9781467325837
In this paper, we propose a method based on wavelet coefficients associated with 2D and 1D Local Binary Pattern (LBP) descriptors to classify X-ray bone images for bone disease diagnosis. The proposed approach uses two types of algorithms: the "A trous" algorithm that uses B-3-spline as a wavelet basis function and the "Mallat" algorithm with the Daubechie wavelet function. The wavelet decomposition is applied to the 2D image and to its projection. Then, the LBP descriptors are performed in both cases. Two approaches were adopted, the first one compares the LBP histograms and the second derives statistical measures from the histograms to form different feature vectors. Experiments were conducted on two populations of osteoporotic patients and control subjects. Results show that the 1D projected field of the 2D images achieves better results for the classification of the two populations.
Digital images are claiming an increasingly larger portion of the information world. In this study, wavelet transform is chosen for image compression. image is decomposed into subbands of averages and details with wav...
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ISBN:
(纸本)0780383184
Digital images are claiming an increasingly larger portion of the information world. In this study, wavelet transform is chosen for image compression. image is decomposed into subbands of averages and details with wavelet transform. Obtained detail subbands have small valued coefficents that also constitute a small percentage of image energy. If these small valued coefficents are quantized to zero with a chosen threshold, there will be no great loss in the image. This feature provided by wavelet transform is a basis for set partitioning in hierarchical trees algorithm. With this algorithm discrete wavelet transform coefficents are organized in spatial orientation trees. The reason to have formed these trees is gathering all pixels that are highly correlated with each other. With this kind of set structure, the similarity among the coefficents in a set from one level to the next is increased. The main aim in this algorithm is to code the trees with highly correlated, zero valued coefficients with a single code word. With these features in the nature of wavelet transform and set partitioning in hierarchical trees algorithm, it is intended to get high compression ratios in images.
Colour imageprocessing is investigated in this paper using an algebraic approach based on triplet numbers. In the algebraic approach, each image element is considered not as a 3D vector, but as a triplet number. The ...
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ISBN:
(纸本)081944488X
Colour imageprocessing is investigated in this paper using an algebraic approach based on triplet numbers. In the algebraic approach, each image element is considered not as a 3D vector, but as a triplet number. The main goal of the paper is to show that triplet algebra can be used to solve colour imageprocessing problems in a natural and effective manner. In this work we propose novel methods for wavelet transforms implementation in colour triplet-valued space.
Modern image and signalprocessing methods strive to maximize signal to noise ratios, even in the presence of severe noise. Frequently,real world data is degraded by under sampling of intrinsic periodicities, or by sa...
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ISBN:
(纸本)081942840X
Modern image and signalprocessing methods strive to maximize signal to noise ratios, even in the presence of severe noise. Frequently,real world data is degraded by under sampling of intrinsic periodicities, or by sampling with unevenly spaced intervals. This results in dropout or missing data, and such data sets are particularly difficult to process using conventional imageprocessing methods. In many cases, one must still extract as much information as possible from a given data set, although available data may be sparse or noisy. In such cases, we suggest algorithms based on wavelet transform and fractal theory will offer a viable alternative as some early work in the area has indicated. An architecture of a software system is suggested to implement an improved scheme for the analysis, representation, and processing of images. The scheme is based on considering the segments of images as wavelets and fractals so that small details in the images can be exploited and the data can be compressed The objective is to implement this scheme automatically and rapidly decompose a two dimensional image into a combination of elemental images so that an array of processing methods can be applied Thus, the scheme offers potential utility for analysis of images and compression of image data. Moreover, the elemental images could be the patterns that the system is required to recognize, so that the scheme offers potential utility for industrial and military applications involving robot vision and/or automatic recognition of targets.
The wavelet transform is a powerful tool for capturing the joint time-frequency characteristics of a signal. However, the resulting wavelet coefficients are typically high-dimensional, since at each time sample the wa...
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ISBN:
(纸本)0819450804
The wavelet transform is a powerful tool for capturing the joint time-frequency characteristics of a signal. However, the resulting wavelet coefficients are typically high-dimensional, since at each time sample the wavelet transform is evaluated at a number of distinct scales. Unfortunately, modelling these coefficients can be problematic because of the large number of parameters needed to capture the dependencies between different scales. In this paper we investigate the use of algorithms from the field of dimensionality reduction to extract informative and compact descriptions of shape from wavelet coefficients. These low-dimensional shape descriptors lead to models that are governed by only a small number of parameters and can be learnt successfully from limited amounts of data. The validity of our approach is demonstrated on the task of automatically segmenting an electrocardiogram signal into its constituent waveform features.
In this paper, we present techniques based on multiple wavelet-tree coding for robust image transmission. The algorithm of set partitioning in hierarchical trees (SPIHT) is a state-of-the-art technique for image compr...
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ISBN:
(纸本)0819455539
In this paper, we present techniques based on multiple wavelet-tree coding for robust image transmission. The algorithm of set partitioning in hierarchical trees (SPIHT) is a state-of-the-art technique for image compression. This variable length coding (VLC) technique, however, is extremely sensitive to channel errors. To improve the error resilience capability and in the meantime to keep the high source coding efficiency through VLC, we propose to encode each wavelet tree or a group of wavelet trees using SPIHT algorithm independently. Instead of encoding the entire image as one bitstream, multiple bitstreams are generated. Therefore, error propagation is limited within individual bitstream. Two methods based on subsampling and human visual sensitivity are proposed to group the wavelet trees. The multiple bitstreams are further protected by the rate compatible puncture convolutional (RCPC) codes. Unequal error protection are provided for both different bitstreams and different bit segments inside each bitstream. We also investigate the improvement of error resilience through error resilient entropy coding (EREC) and wavelet tree coding when channels are slightly corruptive. A simple post-processing technique is also proposed to alleviate the effect of residual errors. We demonstrate through simulations that systems with these techniques can achieve much better performance than systems transmitting a single bitstream in noisy environments.
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