This article presents a generalization of the Boltzmann machine that allows us to use the learning rule for a much wider class of maximum likelihood and maximum a posteriori problems, including both supervised and uns...
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This article presents a generalization of the Boltzmann machine that allows us to use the learning rule for a much wider class of maximum likelihood and maximum a posteriori problems, including both supervised and unsupervised learning. Furthermore, the approach allows us to discuss regularization and generalization in the context of Boltzmann machines. We provide an illustrative example concerning parameter estimation in an inhomogeneous Markov field. The regularized adaptation produces a parameter set that closely resembles the "teacher" parameters, hence, will produce segmentations that closely reproduce those of the inhomogeneous teacher network.
We present a theoretical framework from which an approach to nonlinear, locally-adaptive smoothing of multi-dimensional signals has been derived which exhibits properties favourable to any application: unique solution...
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We present a theoretical framework from which an approach to nonlinear, locally-adaptive smoothing of multi-dimensional signals has been derived which exhibits properties favourable to any application: unique solution, data adaption, presentation of signal structure, continuous dependency of the result on both the input signal and few parameters, and effective control of parameters. We also show that i) the FEM discretisation nicely inherits the properties of the continuous notation, and that ii) the discretised version represents a globally asymptotically stable network. We then explicate the embedding of our approach in the continuous-time CNN paradigm of Roska and Chua (1992) and provide results from our simulations. Lastly we report on ongoing work towards CNN circuit design such as to render possible real-time processing in the future-a desideratum in computer vision system design.
The proceedings contain 30 papers. The topics discussed include: hierarchical markov random field models applied to image analysis: a review;multiresolution Markov random field and multigrid algorithm for a discontinu...
The proceedings contain 30 papers. The topics discussed include: hierarchical markov random field models applied to image analysis: a review;multiresolution Markov random field and multigrid algorithm for a discontinuity-preserving estimation of the optical flow;hierarchical statistical models for the fusion of multiresolution image data;hierarchical method for the detection of moving objects in a sequence of images;characterization of translation-invariant elementary operators for gray-level morphology;computational representation of increasing lattice-valued image operators;tiling and demand-driven evaluation for picture processing;valuation of image extrema using alternating filters by reconstruction;and self-consistent mathematical morphological filter for removing cirrus noise from far-infrared astronomical images.
Mathematical morphology (MM) is one of the most efficient tools in advanced digital imageprocessing. Morphological techniques have been successfully applied in such cases as: image analysis, smoothing, enhancement, e...
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ISBN:
(纸本)0819419273
Mathematical morphology (MM) is one of the most efficient tools in advanced digital imageprocessing. Morphological techniques have been successfully applied in such cases as: image analysis, smoothing, enhancement, edge detection, skeletonization, filtering, and segmentation (watershed algorithms). Two essential operations of MM are dilation and erosion and can be implemented in several different ways. In our paper we propose their effective implementation by using higher order neural network approach (functional-link network). The novel structure and its learning method is presented. Some other neural network methods for MM operations are shown and compared with our approach.
We propose a software architecture for picture processing that allows efficient memory management when algorithms with many operators are applied to large images, and that allows automated parallelization. This archit...
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ISBN:
(纸本)0819419273
We propose a software architecture for picture processing that allows efficient memory management when algorithms with many operators are applied to large images, and that allows automated parallelization. This architecture relies on image tiling and operators with a call back function that evaluates image tiles on demand. Several tiling strategies with and without overlapping are discussed. The compexity of this evaluation strategy is hidden to application programs. This is shown with a sample program. This architecture is well suited for neighborhood operators such as convolutions and mathematical morphology operators.
A neural network architecture that is capable of assisting as well as providing valuable information in diagnosing faults in digital circuits is presented here. Once a digital circuit has been constructed, it is requi...
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This paper presents a comparative study of three deterministic unsupervised image segmentation algorithms. All of the three algorithms basically make use of a Markov random field (MRF) and try to obtain an approximate...
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ISBN:
(纸本)0819419273
This paper presents a comparative study of three deterministic unsupervised image segmentation algorithms. All of the three algorithms basically make use of a Markov random field (MRF) and try to obtain an approximate solution to the maximum likelihood or the maximum a posteriori estimates. Although the three algorithms are based on the same stochasticimage models, they adopt different ways to incorporate model parameter estimation into the iterative region label updating procedure. The differences among the three algorithms are identified and the convergence properties are compared both analytically and experimentally.
Computational mathematical morphology provides zeta-function-based representation for windowed, translation-invariant image operators taking their values in a complete lattice. image operators are induced via windowin...
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ISBN:
(纸本)0819419273
Computational mathematical morphology provides zeta-function-based representation for windowed, translation-invariant image operators taking their values in a complete lattice. image operators are induced via windowing by product lattice operators and, in both the increasing and nonincreasing cases, these reduce to classical logical representation for binary operators. The present paper presents the image-operator theory for increasing filters. In particular, it treats gray-to-binary and gray-to-gray morphological operators, as well as representation of lattice-valued stack filters via threshold decomposition.
In this paper we examine the use of geometric modeling in grouping and classification. A neural network approach is suggested to combine the completeness of information provided by a geometric modeler with the uncerta...
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ISBN:
(纸本)0819419273
In this paper we examine the use of geometric modeling in grouping and classification. A neural network approach is suggested to combine the completeness of information provided by a geometric modeler with the uncertainty required in the grouping process. The utilization of highly connectionist systems in such an environment is investigated. The advantages and shortcomings of these systems are discussed. The impact of cellular atrophy, as observed in biological systems, on highly connectionist systems is proposed. The effect of atrophy criterion on systems' size and efficiency is examined.
The need for hierarchical statistical tools for modeling and processingimage data, as well as the success of Markov random fields (MRFs) in imageprocessing, have recently given rise to a significant research activit...
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ISBN:
(纸本)0819419273
The need for hierarchical statistical tools for modeling and processingimage data, as well as the success of Markov random fields (MRFs) in imageprocessing, have recently given rise to a significant research activity on hierarchical MRFs and their application to image analysis problems. Important contributions, relying on different models and optimization procedures, have thus been recorded in the literature. This paper presents a synthetic overview of available models and algorithms, as well as an attempt to clarify the vocabulary in this field. We propose to classify hierarchical MRF-based approaches as explicit and implicit methods, with appropriate subclasses. Each of these major classes is defined in the paper, and several specific examples of each class of approach are described.
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