The method of using log-polar mapping with spectral band separation to form feature vectors for an associative memory is investigated. Log-polar mapping is used to provide the scale and rotation invariant properties. ...
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Many image compression techniques involve segmentation of a gray level image. With such techniques, information is extracted that describes the regions in the segmented image, and this information is then used to form...
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Summary form only given. A theoretical study of parametric morphological filters that best preserve the crucial topological structure of an input binary image from its noisy version is reported. The topological struct...
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Summary form only given. A theoretical study of parametric morphological filters that best preserve the crucial topological structure of an input binary image from its noisy version is reported. The topological structure of the input binary image is given, and an arbitrary restoration filter is considered. A collection C of necessary and sufficient conditions for this filter to guarantee the restoration of a binary image from its noisy version, such that the input and restored images have identical topological structure, is derived. It is proved that each of the constraints in C generates a morphological filter. The approach used is to obtain a parametric filter that simultaneously satisfies as many of the constraints in C as possible.< >
A general theory for the morphological representation of discrete and binary images is presented. The theory relies on the generation of a set of nonoverlapping segments of an image by repeated erosions and set transf...
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A general theory for the morphological representation of discrete and binary images is presented. The theory relies on the generation of a set of nonoverlapping segments of an image by repeated erosions and set transformations, which in turn produces a decomposition that guarantees exact reconstruction. The morphological image-representation transform and its properties are examined, with focus on the relationship between the transform and some existing shape-analysis tools, thus introducing the transform as the basis of a unified geometrical imageanalysis. Particular cases of the general representation scheme are shown to yield a number of useful image representations which are directly related to various forms of digital morphological skeletons. Also considered is the relationship between the transform and the various forms of morphological skeletons.< >
A technique to guide landmark matching known as hopping dynamic programming is described. The location of the model in the scene is estimated with a least-squares fit. A heuristic measure is then computed to decide if...
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A technique to guide landmark matching known as hopping dynamic programming is described. The location of the model in the scene is estimated with a least-squares fit. A heuristic measure is then computed to decide if the model is in the scene. The shape features of an object are the landmarks associated with the object. The landmarks of an object are defined as the points of interest of the object that have important shape attributes. Examples of landmarks are corners, holes, protrusions, and high-curvature points.< >
In this paper we investigate the computational performance of a number of morphological skeletons. We also develop the reduced-cardinality geometric-step morphological skeleton which is shown to achieve logarithmic co...
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The author presents two interesting discrete-valued random fields for the statistical modeling and analysis of random images. The first random field, the mutually compatible Gibbs random field, is a special nontrivial...
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The author presents two interesting discrete-valued random fields for the statistical modeling and analysis of random images. The first random field, the mutually compatible Gibbs random field, is a special nontrivial case of a general Gibbs random field, whereas the second random field, the semi-Markov random field is a non-Markovian generalization of a mutually compatible Gibbs random field.< >
Presents a unified theory for the description of Gibbs images that allows one to answer some very important theoretical and practical questions about their statistical behavior. The author first introduces the local t...
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Presents a unified theory for the description of Gibbs images that allows one to answer some very important theoretical and practical questions about their statistical behavior. The author first introduces the local transfer function and derives the Gibbs measure in terms of this function. He restricts the derived probability structure to satisfy the property of mutual compatibility thus resulting in the subclass of mutually compatible Gibbs images. The author reviews their properties and briefly discusses various issues related to their simulation and identification. Simulation results from the area of texture analysis and synthesis are presented, in order to demonstrate various aspects of the theory.< >
This paper discusses the relationship between the zero crossings or zeros of band-limited signals and their nonlinear transformations. It is proved that the bandwidth of a signal can be compressed by a ratio of 1/ n i...
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This paper discusses the relationship between the zero crossings or zeros of band-limited signals and their nonlinear transformations. It is proved that the bandwidth of a signal can be compressed by a ratio of 1/ n if and only if the signal has n th-order zero crossings or zeros (if complex). Also, a monotonic nonlinearity in the observation of a band-limited signal can be identified from the zero crossings (or zeros) of the derivative of the observed signal. (The results are for one-dimensional signals. Extensions to two-dimensional signals remain to be addressed.)
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