Finite elements with support on two intervals span the space of piecewise polynomomials with degree 2 n - 1 and n - 1 continuous derivatives. Function values and n - 1 derivatives at each meshpoint determine these `He...
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ISBN:
(纸本)0819416274
Finite elements with support on two intervals span the space of piecewise polynomomials with degree 2 n - 1 and n - 1 continuous derivatives. Function values and n - 1 derivatives at each meshpoint determine these `Hermite finite elements'. The n basis functions satisfy a dilation equation with n by n matrix coefficients. Orthogonal to this scaling subspace is a wavelet subspace. It is spanned by the translates of n wavelets Wi(t), each supported on three intervals. The wavelets are orthogonal to all rescalings Wi(2jt-k), but not to translates at the same level (j equals 0). These new multiwavelets achieve 2 n vanishing moments and high regularity with symmetry and short support.
The paper contains a brief description of fractal image compression methods with sample compression results. We also present comparative results between two fractal schemes, discrete cosine transform, and a wavelet me...
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In this paper, we establish a mathematical connection between dyadic-wavelet-based contrast enhancement and traditional unsharp masking. Our derivation is completely based in the discrete domain. These findings may pr...
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ISBN:
(纸本)0819416274;9780819416278
In this paper, we establish a mathematical connection between dyadic-wavelet-based contrast enhancement and traditional unsharp masking. Our derivation is completely based in the discrete domain. These findings may provide a better theoretical understanding of these algorithms, and facilitate the acceptance of multiscale enhancement techniques applied to medical imaging.
This paper attempts to synthesize the wavelet theories to simple design procedures so that applied researchers can readily select or design wavelets with chosen characteristics for particular applications. The paper h...
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This paper attempts to synthesize the wavelet theories to simple design procedures so that applied researchers can readily select or design wavelets with chosen characteristics for particular applications. The paper highlights the importance of the four most desirable characteristics of wavelets for use in digital signalprocessing, namely- orthonormality, symmetry, compactness and smoothness. Some of these characteristics are mutually exclusive and require design compromise. Examples of some most popular wavelets and the effects their characteristics have on the quality of the reconstructed image in wavelet-based image coding, are given for comparison.
In this work, we use the 1D Haar transform fractal estimation algorithm to calculate the local fractal dimension estimates of 2D texture data. The new algorithm provides directed fractal dimension estimates which are ...
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ISBN:
(纸本)0819416282
In this work, we use the 1D Haar transform fractal estimation algorithm to calculate the local fractal dimension estimates of 2D texture data. The new algorithm provides directed fractal dimension estimates which are used as features for texture segmentation. The method is fast due to the pyramid structure of the Haar transform and nearly optimal in the maximum likelihood sense for fBm data. We compare the low complexity of this new algorithm with the complexity of existing fractal feature extraction techniques, and test our new method on fBm data and real Brodatz textures.
The topics included are mathematics and equation solvers;communications;signal and imageprocessing;computer vision;data compression and recognition;radar processing;earth sciences and remote sensing;industrial applic...
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ISBN:
(纸本)0819415464
The topics included are mathematics and equation solvers;communications;signal and imageprocessing;computer vision;data compression and recognition;radar processing;earth sciences and remote sensing;industrial applications of wavelets;imageprocessing, recognition, and implementation;wavelets and neural networks;biomedical applications;and acoustic signal detection and recognition.
Factorization of orthogonal block circulant matrices can not be generalized in a straightforward way for block circulant matrices which are merely invertible. However, they can be decomposed into an orthogonal matrix ...
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ISBN:
(纸本)0819416274;9780819416278
Factorization of orthogonal block circulant matrices can not be generalized in a straightforward way for block circulant matrices which are merely invertible. However, they can be decomposed into an orthogonal matrix and an atom that represents the `nonorthogonal' part of the matrix. Atoms can be characterized by nilpotent block-companion matrices. This characterization permits, for example, to derive bounds for the width of the band of the inverse of a banded block circulant matrix.
applications of artificial neural networks to in situ assessment of water quality are considered by means of an online optical scatter nephelometer. Light scattered by suspensions of oil in water is investigated for t...
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applications of artificial neural networks to in situ assessment of water quality are considered by means of an online optical scatter nephelometer. Light scattered by suspensions of oil in water is investigated for three different oils in the concentration range 0-100 parts per million by,volume. An artificial neural network is designed to recognise the oil species and output its concentration to within an accuracy of 5.4%. applications of the technique to more general classes of suspensions are discussed.
As part of a project to utilize advanced software to diagnose multi-layer circuit card assemblies, the signal traces were separated into top and bottom layers. The source images were stereo x-ray images, 2 K by 2 K by...
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ISBN:
(纸本)0819414778
As part of a project to utilize advanced software to diagnose multi-layer circuit card assemblies, the signal traces were separated into top and bottom layers. The source images were stereo x-ray images, 2 K by 2 K by 12 bits. The a stereo software algorithm was developed using steerable filters as a means of precisely determining signal trace location and orientation. A new stereopsis algorithm was derived which efficiently allocates signal traces to particular layers. The paper relates the approach taken to biological vision and its characteristic of hyperacuity. And to the subject of model building and model fitting.
A continuously-evolving, nonstationary time signal is essentially impossible to analyze digitally. To analyze it by analog optics, we suggest an acoustooptic wavelet transform continuous in separation time, clock time...
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ISBN:
(纸本)0819415421
A continuously-evolving, nonstationary time signal is essentially impossible to analyze digitally. To analyze it by analog optics, we suggest an acoustooptic wavelet transform continuous in separation time, clock time, and frequency. For convenience, we cause the pattern for any signal feature to remain spatially fixed while that feature is in the time window.
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