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Scale-space and edge detection using anisotropic diffusion

by Pietro Perona, Jitendra Malik - IEEE Transactions on Pattern Analysis and Machine Intelligence , 1990
"... Abstract-The scale-space technique introduced by Witkin involves generating coarser resolution images by convolving the original image with a Gaussian kernel. This approach has a major drawback: it is difficult to obtain accurately the locations of the “semantically mean-ingful ” edges at coarse sca ..."
Abstract - Cited by 1887 (1 self) - Add to MetaCart
scales. In this paper we suggest a new definition of scale-space, and introduce a class of algorithms that realize it using a diffusion process. The diffusion coefficient is chosen to vary spatially in such a way as to encourage intraregion smoothing in preference to interregion smoothing. It is shown

Complete discrete 2-D Gabor transforms by neural networks for image analysis and compression

by John G. Daugman , 1988
"... A three-layered neural network is described for transforming two-dimensional discrete signals into generalized nonorthogonal 2-D “Gabor” representations for image analysis, segmentation, and compression. These transforms are conjoint spatial/spectral representations [lo], [15], which provide a comp ..."
Abstract - Cited by 478 (8 self) - Add to MetaCart
A three-layered neural network is described for transforming two-dimensional discrete signals into generalized nonorthogonal 2-D “Gabor” representations for image analysis, segmentation, and compression. These transforms are conjoint spatial/spectral representations [lo], [15], which provide a

Spatio-Temporal Predicates

by Martin Erwig, Markus Schneider - IEEE Transactions on Knowledge and Data Engineering , 1999
"... AbstractÐThis paper investigates temporal changes of topological relationships and thereby integrates two important research areas: First, two-dimensional topological relationships that have been investigated quite intensively and, second, the change of spatial information over time. We investigate ..."
Abstract - Cited by 57 (15 self) - Add to MetaCart
spatio-temporal predicates, which describe developments of well-known spatial topological relationships. A framework is developed in which spatio-temporal predicates can be obtained by temporal aggregation of elementary spatial predicates and sequential composition. We compare our framework with two

Matching Events in a Content-based Subscription System

by Marcos K. Aguilera , Robert E. Strom, Daniel C. Sturman, Mark Astley, Tushar D. Chandra , 2003
"... Content-based subscription systems are an emerging alternative to traditional publish-subscribe systems, because they permit more flexible subscriptions along multiple dimensions. In these systems, each subscription is a predicate which may test arbitrary attributes within an event. However, the mat ..."
Abstract - Cited by 303 (8 self) - Add to MetaCart
-linear in the number of subscriptions, and it has a space complexity that is linear. Specifically, we prove that for predicates reducible to conjunctions of elementary tests, the expected time to match a random event is no greater than O#N # where N is the number of subscriptions, and # is a closed-form expression

Discovery of spatial association rules in geographic information databases

by Krzysztof Koperski, Jiawei Han , 1995
"... Abstract. Spatial data mining, i.e., discovery of interesting, implicit knowledge in spatial databases, is an important task for understanding and use of spatial data- and knowledge-bases. In this paper, an e cient method for mining strong spatial association rules in geographic information database ..."
Abstract - Cited by 212 (14 self) - Add to MetaCart
databases is proposed and studied. A spatial association rule is a rule indicating certain association relationship among a set of spatial and possibly some nonspatial predicates. A strong rule indicates that the patterns in the rule have relatively frequent occurrences in the database and strong

Real-time logics: complexity and expressiveness

by Rajeev Alur, Thomas A. Henzinger - INFORMATION AND COMPUTATION , 1993
"... The theory of the natural numbers with linear order and monadic predicates underlies propositional linear temporal logic. To study temporal logics that are suitable for reasoning about real-time systems, we combine this classical theory of in nite state sequences with a theory of discrete time, via ..."
Abstract - Cited by 252 (16 self) - Add to MetaCart
The theory of the natural numbers with linear order and monadic predicates underlies propositional linear temporal logic. To study temporal logics that are suitable for reasoning about real-time systems, we combine this classical theory of in nite state sequences with a theory of discrete time, via

Multi-Step Processing of Spatial Joins

by Thomas Brinkhoff, Hans-Peter Kriegel, Ralf Schneider, Bernhard Seeger
"... Spatial joins are one of the most importaot operations for combining spatial objects of several relations. IO this paper, spatial join processing is studied in detail for extended spatial objects in two-dimensional data space. We present an approach for spatial join processing that is based on three ..."
Abstract - Cited by 139 (14 self) - Add to MetaCart
approximations. In the last step, the exact geometry of the remaioing candidates has to be tested against the join predicate. The time required for computing spatial joio predicates can essentially be reduced when objects are adequately organized in main memory. IO our approach, objects are fiist decomposed

Spatial Logics with Connectedness Predicates

by Roman Kontchakov, Ian Pratt-Hartmann, Frank Wolter, Michael Zakharyaschev - LOGICAL METHODS IN COMPUTER SCIENCE , 2010
"... We consider quantifier-free spatial logics, designed for qualitative spatial representation and reasoning in AI, and extend them with the means to represent topological connectedness of regions and restrict the number of their connected components. We investigate the computational complexity of thes ..."
Abstract - Cited by 10 (3 self) - Add to MetaCart
We consider quantifier-free spatial logics, designed for qualitative spatial representation and reasoning in AI, and extend them with the means to represent topological connectedness of regions and restrict the number of their connected components. We investigate the computational complexity

On elementary extensions for fuzzy predicate logics

by Pilar Dellunde , Francesc Esteva - In Proceedings of IPMU , 2010
"... Abstract. Our work is a contribution to the model-theoretic study of equality-free fuzzy predicate logics. We give a characterization of elementary equivalence in fuzzy predicate logics using elementary extensions and introduce an strengthening of this notion, the so-called strong elementary equiva ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstract. Our work is a contribution to the model-theoretic study of equality-free fuzzy predicate logics. We give a characterization of elementary equivalence in fuzzy predicate logics using elementary extensions and introduce an strengthening of this notion, the so-called strong elementary

Predicate Gates for Spatial Logic

by Guennadi A. Kouzaev, Atanas N. Kostadinov
"... Abstract:- The predicate logic gates are proposed for spatially modulated signals. Two voltage impulses are transmitted along the coupled wires, and they are considered as a predicate expression. The developed gates perform the logical operations AND, NOT and OR with these expressions. They are used ..."
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Abstract:- The predicate logic gates are proposed for spatially modulated signals. Two voltage impulses are transmitted along the coupled wires, and they are considered as a predicate expression. The developed gates perform the logical operations AND, NOT and OR with these expressions
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