Search results for "Standard Boolean model"

showing 4 items of 4 documents

Supershape Recovery from 3D Data Sets

2006

In this paper, we apply supershapes and R-functions to surface recovery from 3D data sets. Individual supershapes are separately recovered from a segmented mesh. R-functions are used to perform Boolean operations between the reconstructed parts to obtain a single implicit equation of the reconstructed object that is used to define a global error reconstruction function. We present surface recovery results ranging from single synthetic data to real complex objects involving the composition of several supershapes and holes.

Implicit functionbusiness.industrySignal reconstructionImage segmentationFunction (mathematics)Iterative reconstructionSynthetic dataComputer visionArtificial intelligencebusinessBoolean functionAlgorithmStandard Boolean modelMathematics2006 International Conference on Image Processing
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BMaD – A Boolean Matrix Decomposition Framework

2014

Boolean matrix decomposition is a method to obtain a compressed representation of a matrix with Boolean entries. We present a modular framework that unifies several Boolean matrix decomposition algorithms, and provide methods to evaluate their performance. The main advantages of the framework are its modular approach and hence the flexible combination of the steps of a Boolean matrix decomposition and the capability of handling missing values. The framework is licensed under the GPLv3 and can be downloaded freely at http://projects.informatik.uni-mainz.de/bmad.

Matrix (mathematics)Theoretical computer scienceAnd-inverter graphBoolean circuitDecomposition (computer science)Logical matrixCircuit minimization for Boolean functionsRepresentation (mathematics)Standard Boolean modelMathematics
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Sparse Sampling and Maximum Likelihood Estimation for Boolean Models

1991

A condition for practical independence of contact distribution functions in Boolean models is obtained. This result allows the authors to use maximum likelihcod methods, via sparse sampling, for estimating unknown parameters of an isotropic Boolean model. The second part of this paper is devoted to a simulation study of the proposed method. AMS classification: 60D05

Statistics and ProbabilityBiometricsBoolean modelIsotropySampling (statistics)General MedicineLikelihood-ratio testStatisticsMaximum satisfiability problemStatistics Probability and UncertaintyAlgorithmIndependence (probability theory)Standard Boolean modelMathematicsBiometrical Journal
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Distributed Consensus on Boolean Information

2009

Abstract In this paper we study the convergence towards consensus on information in a distributed system of agents communicating over a network. The particularity of this study is that the information on which the consensus is seeked is not represented by real numbers, rather by logical values or sets. Whereas the problems of allowing a network of agents to reach a consensus on logical functions of input events, and that of agreeing on set–valued information, have been separately addressed in previous work, in this paper we show that these problems can indeed be attacked in a unified way in the framework of Boolean distributed information systems. Based on a notion of contractivity for Bool…

Theoretical computer scienceDynamical systems theoryAnd-inverter graphConsensus theoremGeneral Medicinedistributed estimationUniform consensusBoolean networkSettore ING-INF/04 - AutomaticaConsensusInformation systemBoolean dynamics systemBoolean consensus algorithmStandard Boolean modelMathematics
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