Search results for " Pattern Recognition"

showing 10 items of 1050 documents

model reduction for continuous-time Markovian jump systems with incomplete statistics of mode information

2013

This paper investigates the problem of model reduction for a class of continuous-time Markovian jump linear systems with incomplete statistics of mode information, which simultaneously considers the exactly known, partially unknown and uncertain transition rates. By fully utilising the properties of transition rate matrices, together with the convexification of uncertain domains, a new sufficient condition for performance analysis is first derived, and then two approaches, namely, the convex linearisation approach and the iterative approach, are developed to solve the model reduction problem. It is shown that the desired reduced-order models can be obtained by solving a set of strict linear…

Mathematical optimizationModel reductionbusiness.industryMarkovian jump systemsRegular polygonLinear matrix inequalityComputer Science Applications1707 Computer Vision and Pattern RecognitionLinear matrixLinear matrix inequalityTransition rate matrixIncomplete statistics of mode informationComputer Science ApplicationsTheoretical Computer ScienceMarkovian jump linear systemsMarkovian jumpSoftwareControl and Systems EngineeringStatisticsIncomplete statistics of mode information; Linear matrix inequality; Markovian jump systems; Model reduction; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionDesign methodsbusinessMathematicsInternational Journal of Systems Science
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Efficient Pruning LMI Conditions for Branch-and-Prune Rank and Chirality-Constrained Estimation of the Dual Absolute Quadric

2014

International audience; We present a new globally optimal algorithm for self- calibrating a moving camera with constant parameters. Our method aims at estimating the Dual Absolute Quadric (DAQ) under the rank-3 and, optionally, camera centers chirality constraints. We employ the Branch-and-Prune paradigm and explore the space of only 5 parameters. Pruning in our method relies on solving Linear Matrix Inequality (LMI) feasibility and Generalized Eigenvalue (GEV) problems that solely depend upon the entries of the DAQ. These LMI and GEV problems are used to rule out branches in the search tree in which a quadric not satisfy- ing the rank and chirality conditions on camera centers is guarantee…

Mathematical optimizationQuadric[INFO.INFO-CV] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Rank (linear algebra)Linear matrix inequality[INFO.INFO-CV]Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Function (mathematics)Pruning (decision trees)[ INFO.INFO-CV ] Computer Science [cs]/Computer Vision and Pattern Recognition [cs.CV]Rotation (mathematics)Search treeEigenvalues and eigenvectorsMathematics
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Using Fourier local magnitude in adaptive smoothness constraints in motion estimation

2007

Like many problems in image analysis, motion estimation is an ill-posed one, since the available data do not always sufficiently constrain the solution. It is therefore necessary to regularize the solution by imposing a smoothness constraint. One of the main difficulties while estimating motion is to preserve the discontinuities of the motion field. In this paper, we address this problem by integrating the motion magnitude information obtained by the Fourier analysis into the smoothness constraint, resulting in an adaptive smoothness. We describe how to achieve this with two different motion estimation approaches: the Horn and Schunck method and the Markov Random Field (MRF) modeling. The t…

Mathematical optimizationRandom fieldMarkov random fieldSmoothness (probability theory)ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONOptical flowConstraint (information theory)symbols.namesakeMotion fieldArtificial IntelligenceFourier analysisMotion estimationSignal ProcessingsymbolsComputer Vision and Pattern RecognitionAlgorithmSoftwareComputingMethodologies_COMPUTERGRAPHICSMathematicsPattern Recognition Letters
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The squared symmetric FastICA estimator

2017

In this paper we study the theoretical properties of the deflation-based FastICA method, the original symmetric FastICA method, and a modified symmetric FastICA method, here called the squared symmetric FastICA. This modification is obtained by replacing the absolute values in the FastICA objective function by their squares. In the deflation-based case this replacement has no effect on the estimate since the maximization problem stays the same. However, in the symmetric case we obtain a different estimate which has been mentioned in the literature, but its theoretical properties have not been studied at all. In the paper we review the classic deflation-based and symmetric FastICA approaches…

Mathematical optimizationaffine equivarianceminimum distance indexMathematics - Statistics TheoryIndependent component analysis02 engineering and technologyEstimating equationsStatistics Theory (math.ST)01 natural sciences010104 statistics & probabilityMatrix (mathematics)0202 electrical engineering electronic engineering information engineeringFOS: MathematicsApplied mathematics62H10 62H120101 mathematicsElectrical and Electronic EngineeringMathematicsta113ta112ta111EstimatorContrast (statistics)riippumattomien komponenttien analyysi020206 networking & telecommunicationsMaximizationIndependent component analysisNonlinear systemControl and Systems EngineeringSignal ProcessingFastICAComputer Vision and Pattern Recognitionlimiting normalitySoftware
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Patch-Based Image Denoising Model for Mixed Gaussian Impulse Noise Using L1 Norm

2017

Image denoising is the classes of technique used to free the image form the noise. The noise in the image may be added during the observation process due to the improper setting of the camera lance, low-resolution camera, cheap, and low-quality sensors, etc. Noise in the image may also be added during the image restoration, image transmission through the transmission media. To obtain required information from image, image must be noise free, i.e., high-frequency details must be present in the image. There are number of applications where image denoising is needed such as remote location detection, computer vision, computer graphics, video surveillance, etc. In last two decades, numbers of m…

Mathematical optimizationbusiness.industryComputer scienceGaussianComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONTransmission mediumImpulse (physics)Non-local meansImpulse noiseComputer graphicssymbols.namesakeGaussian noiseComputer Science::Computer Vision and Pattern RecognitionsymbolsComputer visionArtificial intelligencebusinessImage restoration
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Preface

2015

This special issue of Mathematical Structures in Computer Science is devoted to the fourteenth Italian Conference on Theoretical Computer Science (ICTCS) held at University of Palermo, Italy, from 9th to 11th September 2013. ICTCS is the conference of the Italian Chapter of the European Association for Theoretical Computer Science and covers a wide spectrum of topics in Theoretical Computer Science, ranging from computational complexity to logic, from algorithms and data structure to programming languages, from combinatorics on words to distributed computing. For this reason, the contributions here included come from very different areas of Theoretical Computer Science. In fact this special…

Mathematics (miscellaneous)Computer Science Applications1707 Computer Vision and Pattern RecognitionComputer Science Applications
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Projector operators in clustering

2016

In a recent paper the notion of {\em quantum perceptron} has been introduced in connection with projection operators. Here we extend this idea, using these kind of operators to produce a {\em clustering machine}, i.e. a framework which generates different clusters from a set of input data. Also, we consider what happens when the orthonormal bases first used in the definition of the projectors are replaced by frames, and how these can be useful when trying to connect some noised signal to a given cluster.

Mathematics - Functional AnalysisEngineering (all)FOS: MathematicsCluster analysis harmonic analysis on Euclidean spaces pattern recognitionMathematics (all)Settore MAT/07 - Fisica MatematicaFunctional Analysis (math.FA)
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An application of neural networks to natural scene segmentation

2006

This paper introduces a method for low level image segmentation. Pixels of the image are classified corresponding to their chromatic features.

Mathematics::CombinatoricsArtificial neural networkPixelSegmentation-based object categorizationbusiness.industryComputer scienceComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONScale-space segmentationImage segmentationImage (mathematics)Computer Science::Computer Vision and Pattern RecognitionNatural (music)Computer visionChromatic scaleArtificial intelligencebusiness
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A fully adaptive multiresolution scheme for image processing

2007

A nonlinear multiresolution scheme within Harten's framework [A. Harten, Discrete multiresolution analysis and generalized wavelets, J. Appl. Numer. Math. 12 (1993) 153-192; A. Harten, Multiresolution representation of data II, SIAM J. Numer. Anal. 33 (3) (1996) 1205-1256] is presented. It is based on a centered piecewise polynomial interpolation fully adapted to discontinuities. Compression properties of the multiresolution scheme are studied on various numerical experiments on images.

Mathematics::Functional AnalysisPolynomialNumerical analysisMultiresolution analysisImage processingComputer Science ApplicationsPolynomial interpolationWaveletModelling and SimulationComputer Science::Computer Vision and Pattern RecognitionModeling and SimulationCompression (functional analysis)CalculusPiecewiseAlgorithmMathematicsMathematical and Computer Modelling
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A Parallel Approach for Statistical Texture Parameter Calculation

2014

This chapter focusses on the development of a new image processing technique for the processing of large and complex images, especially SAR images. We propose here a new and effective approach that outperforms the existing methods for the calculation of high order textural parameters. With a single processor, this approach is about \(256^{n-1}\) times faster than the co-occurrence matrix approach considered as classical, where \(n\) is the order of the textural parameter for a 256-gray scales image. In a parallel environment made of N processor, this performance can almost be multiply by the factor N. Our approach is based on a new modeling of textural parameters of a generic order \(n>1\) …

Matrix (mathematics)Texture (cosmology)Computer Science::Computer Vision and Pattern RecognitionImage (category theory)ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONOrder (ring theory)ByteImage processingDevelopment (differential geometry)Space (mathematics)AlgorithmMathematics
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