In the given paper a method for resolving two overlapping signals is described for the case, when both signals are Gaussians with equal half-width. Using wavelet transform of the original signal, which contains such a...
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ISBN:
(纸本)0819422355
In the given paper a method for resolving two overlapping signals is described for the case, when both signals are Gaussians with equal half-width. Using wavelet transform of the original signal, which contains such a superposition of two Gaussians, we express the shift between peaks in terms of wavelet image maxima. This enables us to develop a fast method to determine positions and amplitudes of the gaussian sources with a satisfactory accuracy. A comparison with Fourier method often applied to this problem is presented.
General stereo image matching provides an adequate but hard problem with sufficient complexity, with which the potential of wavelets may be exploited to a full extend. An ideal stereo image matching algorithm is suppo...
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ISBN:
(纸本)0819422134
General stereo image matching provides an adequate but hard problem with sufficient complexity, with which the potential of wavelets may be exploited to a full extend. An ideal stereo image matching algorithm is supposed to be invariant to the scale, translation, rotation, and partial correspondence between two given stereo images. While the multi-resolution of wavelets is good at scale adaptivity, we also require the wavelet transform and pyramids to be translation- and rotation-invariant. This paper is intended to serve for three purposes: (1) To present the general problem of stereo image matching in a sufficient depth and extent, so that pure wavelet mathematicians could think on adequate and efficient solutions, (2) To present a complete algorithm for top-down image matching including surface reconstruction by using wavelet pyramids, (3) To search for a wavelet family optimal for image matching. It is expected that a family of adequately designed wavelets could provide a generic and robust solution to the stereo image matching problem, which could be an important breakthrough in computer vision, photogrammetry, and pattern recognition.
Bivariate box splines for image interpolation, enhancement, digital filter design, subband coding bank, hexagonal filtering will be discussed. Some existing and new results will be presented. A computational method fo...
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ISBN:
(纸本)0819422134
Bivariate box splines for image interpolation, enhancement, digital filter design, subband coding bank, hexagonal filtering will be discussed. Some existing and new results will be presented. A computational method for box spline image interpolation and box spline digital filters are included.
The interest manifested into texture recognition has had a substantial growth since these past few years. Much research is focused on a joint space/spatial-frequency representation of images. This paper describes the ...
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ISBN:
(纸本)0780332598
The interest manifested into texture recognition has had a substantial growth since these past few years. Much research is focused on a joint space/spatial-frequency representation of images. This paper describes the comparison between different spatial/spatial-frequency methods involving Gabor filters and wavelets. Two applications are considered: image segmentation and texture classification/recognition. It has been seen that results can depend significantly on the method used to decompose the signal. Two aspects are mainly taken into account: the effect of an over-sampling of the frequency domain by a bank of filters, and the ability of 1D wavelets to segment/classify oriented textures. An improvement using angular filters with separable wavelets is demonstrated, while no noticeable amelioration is observed using Battle-Lemarie wavelets, as compared to Gabor filters.
We present examples of a new type of wavelet basis functions that are orthogonal across shifts, but not across scales. The analysis functions are low order splines while the synthesis functions are polynomial splines ...
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ISBN:
(纸本)0819422134
We present examples of a new type of wavelet basis functions that are orthogonal across shifts, but not across scales. The analysis functions are low order splines while the synthesis functions are polynomial splines of higher degree n2. The approximation power of these representations is essentially as good as that of the corresponding Battle- Lemarie orthogonal wavelet transform, with the difference that the present wavelet synthesis filters have a much faster decay. This last property, together with the fact that these transformation s are almost orthogonal, may be useful for image coding and data compression.
Blocking artifacts are the most objectionable drawback of block-based image and video coders. We describe a novel technique for removing blocking artifacts via multiscale edge processing. The new technique exploits th...
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ISBN:
(纸本)0819422134
Blocking artifacts are the most objectionable drawback of block-based image and video coders. We describe a novel technique for removing blocking artifacts via multiscale edge processing. The new technique exploits the advantages of an invertible multiscale edge representation from which the block edges can be easily identified and removed. By virtue of the multiscale edge processing one is able to deblock images effectively without blurring perceptually important features or introducing new artifacts. We present the deblocking algorithm with experimental results and a discussion.
This paper describes a new wavelet-based approach to the motion estimation problem for digital video. A complex- valued discrete wavelet transform is used to decompose each frame into a subsampled directionally bandpa...
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ISBN:
(纸本)0819422134
This paper describes a new wavelet-based approach to the motion estimation problem for digital video. A complex- valued discrete wavelet transform is used to decompose each frame into a subsampled directionally bandpass filtered hierarchy. The transform is defined so that at each level there is an approximate correspondence between local translation and coefficient phase shift. This relationship is used to estimate motion with each orientation subband. The estimates are combined over all orientations and scales using a coarse-to-fine refinement strategy to produce a fractional-pel accurate motion field with a directional confidence measure. The technique is suitable for video compression schemes and can also be used for stereo vision and image registration.
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.
We report on wavelet compression of a 1D prototype benchmark problem of sufficient complexity to capture the features of 3D quantum electronics structure calculations. These problems have a multi-scale character throu...
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ISBN:
(纸本)0819422134
We report on wavelet compression of a 1D prototype benchmark problem of sufficient complexity to capture the features of 3D quantum electronics structure calculations. These problems have a multi-scale character through the presence of a set of singularities corresponding to atomic nuclei. Theoretical estimates of asymptotic decay across scales are derived and verified numerically. In addition, we study the effects of the location of singularity on the accuracy of the compression and on scaling.
The optics of satellite cameras as well as the satellite movement create a blurring effect to which is added a noise due to the electronics of the CCD captors. We introduce a deconvolution algorithm which is regulariz...
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ISBN:
(纸本)0819422134
The optics of satellite cameras as well as the satellite movement create a blurring effect to which is added a noise due to the electronics of the CCD captors. We introduce a deconvolution algorithm which is regularized with a hard thresholding technic, in a wavelet frame. The restoration procedure is fast and provides good metrical and perceptual results.
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