A general theory for the morphological representation of discrete and binary images is presented. Particular cases of the general scheme are shown to yield a number of useful image representations. The effect of noise...
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A general theory for the morphological representation of discrete and binary images is presented. Particular cases of the general scheme are shown to yield a number of useful image representations. The effect of noise degradation is studied. It is proven that, under certain assumptions, the general reduced morphological skeleton is the best morphological representation among a collection of invertible morphological image representations. This representation results in a minimal upper-bound on the average probability of error of reconstructing a binary image from its noisy representation.< >
A projection-space approach for reconstruction from projections is presented. This approach uses the known convex support of the object both as a penalty term in a variational problem defined in projection-space and a...
A projection-space approach for reconstruction from projections is presented. This approach uses the known convex support of the object both as a penalty term in a variational problem defined in projection-space and as a guide to the specification of optimal smoothing coefficients that may vary spatially. Partial consistency of the sinogram is provided by including mass and center-of-mass constraints in the variational formulation. An outline of the general approach and calculations for a specific example are provided. computer simulations are provided for evaluation of the performance in this special case
The image reconstruction capacity of the actual foveal cone sampling mosaics of an adult monkey and human is investigated through computer simulations. A retinocortical mapping model in which positions are known and d...
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.< >
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 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.< >
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