Search results for "Wavelet"

showing 10 items of 329 documents

Orbits of bounded bijective operators and Gabor frames

2020

This paper is a contribution to frame theory. Frames in a Hilbert space are generalizations of orthonormal bases. In particular, Gabor frames of $L^2(\mathbb{R})$, which are made of translations and modulations of one or more windows, are often used in applications. More precisely, the paper deals with a question posed in the last years by Christensen and Hasannasab about the existence of overcomplete Gabor frames, with some ordering over $\mathbb{Z}$, which are orbits of bounded operators on $L^2(\mathbb{R})$. Two classes of overcomplete Gabor frames which cannot be ordered over $\mathbb{Z}$ and represented by orbits of operators in $GL(L^2(\mathbb{R}))$ are given. Some results about opera…

Context (language use)01 natural sciencessymbols.namesakeOperator (computer programming)WaveletOperator representation of framesSettore MAT/05 - Analisi Matematica0103 physical sciencesFOS: MathematicsOrthonormal basis0101 mathematicsRepresentation (mathematics)MathematicsDiscrete mathematicsBounded bijective operatorsApplied Mathematics010102 general mathematicsHilbert spaceFunctional Analysis (math.FA)Mathematics - Functional AnalysisBounded functionsymbolsBijection010307 mathematical physics42C15 94A20Gabor framesAnnali di Matematica Pura ed Applicata (1923 -)
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Optimized spatio-temporal descriptors for real-time fall detection: comparison of support vector machine and Adaboost-based classification

2013

We propose a supervised approach to detect falls in a home environment using an optimized descriptor adapted to real-time tasks. We introduce a realistic dataset of 222 videos, a new metric allowing evaluation of fall detection performance in a video stream, and an automatically optimized set of spatio-temporal descriptors which fed a supervised classifier. We build the initial spatio-temporal descriptor named STHF using several combinations of transformations of geometrical features (height and width of human body bounding box, the user’s trajectory with her/his orientation, projection histograms, and moments of orders 0, 1, and 2). We study the combinations of usual transformations of the…

Contextual image classificationComputer sciencebusiness.industryFeature extractionWavelet transformFeature selectionPattern recognitionAtomic and Molecular Physics and OpticsComputer Science ApplicationsSupport vector machineMinimum bounding boxRobustness (computer science)Computer visionAdaBoostArtificial intelligenceElectrical and Electronic EngineeringbusinessJournal of Electronic Imaging
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An improved MSD-based method for PD defects classification

2006

The new proposed method of pattern recognition is based on the application of Multi-resolution Signal Decomposition (MSD) technique of wavelet transform. This technique has showed off interesting properties in capturing the embedded horizontal, vertical and diagonal variations within an image obtained from the PD pattern in a separable form. This feature was exploited to identify in the PD pattern's MSD, relative at various family of partial discharge sources, some detail images typical of a single discharge phenomenon. The classification of a generic PD phenomenon is feasible through a comparison between its detail images and the detail images typical of a single discharge phenomenon. Test…

Contextual image classificationbusiness.industryComputer scienceElectronic Optical and Magnetic MaterialDiagonalFeature extractionWavelet transformPattern recognitionCondensed Matter PhysicSignalpartial dischargeSettore ING-IND/31 - Elettrotecnicawavelet transform.Pattern recognition (psychology)Partial dischargeElectronic engineeringFeature (machine learning)Artificial intelligencebusiness2006 IEEE 8th International Conference on Properties & applications of Dielectric Materials
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Automatic Processing Scheme for Low Laser Invasiveness Electro Optical Frequency Mapping mode

2016

International audience; Electro optical techniques are efficient backside contactless techniques usually used for design debug and defect location in modern VLSI. Unfortunately, the signal to noise ratio is quite low and depends on laser power with potential device stress due to long acquisition time or high laser power, especially in up to date technologies. Under these conditions, to maintain a good signal or image quality, specific signal or image processing techniques can be implemented. In this paper, we proposed a new spatial filtering by stationary wavelets and contrast enhancement which allows the use of low laser power and short acquisition time in image mode.

Contrast enhancementImage qualityComputer science[SPI] Engineering Sciences [physics]Wavelet shrinkageComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONEOFMImage processing02 engineering and technology01 natural sciencesSignallaw.invention[SPI]Engineering Sciences [physics]Image modeSignal-to-noise ratiolaw0103 physical sciences0202 electrical engineering electronic engineering information engineeringElectronic engineering[ SPI ] Engineering Sciences [physics]EOPLaser power scalingStationary Wavelet Transform010302 applied physicsSpatial filter020208 electrical & electronic engineeringLaser[SPI.TRON] Engineering Sciences [physics]/Electronics[ SPI.TRON ] Engineering Sciences [physics]/Electronics[SPI.TRON]Engineering Sciences [physics]/ElectronicsFiltering
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A non-supervised approach to locate and to measure the nuchal translucency by means of wavelet analysis and neural networks

2017

Ultrasound imaging is a well known noninvasive way to evaluate various diseases during the prenatal age. In particular, the thickness measure of the nuchal transucency is strictly correlated with pathologies like trisomy 13, 18 and 21. For a correct investigation, the methodology needs mid-sagittal sections and the proposed approach is based on wavelet analysis and neural network classifiers to locate components useful to identify mid-sagittal planes. To evaluate the performance and the robustness of the methodology, real clinical ultrasound images were considered, obtaining an average error of at most 0.3 millimeters in 97.4% of the cases.

Control and OptimizationArtificial neural networkSettore INF/01 - InformaticaComputer sciencebusiness.industrymid-sagittal sectionneural networksymmetry transformPattern recognitionMeasure (mathematics)Ultrasonic imagingClinical ultrasoundWaveletComputer Networks and CommunicationNuchal translucencyRobustness (computer science)Artificial IntelligenceUltrasound imagingArtificial intelligencewavelet analysibusinessnuchal translucencyInformation Systems
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Hilbert-Huang versus Morlet wavelet transformation on mismatch negativity of children in uninterrupted sound paradigm

2008

Background Compared to the waveform or spectrum analysis of event-related potentials (ERPs), time-frequency representation (TFR) has the advantage of revealing the ERPs time and frequency domain information simultaneously. As the human brain could be modeled as a complicated nonlinear system, it is interesting from the view of psychological knowledge to study the performance of the nonlinear and linear time-frequency representation methods for ERP research. In this study Hilbert-Huang transformation (HHT) and Morlet wavelet transformation (MWT) were performed on mismatch negativity (MMN) of children. Participants were 102 children aged 8–16 years. MMN was elicited in a passive oddball parad…

Control and OptimizationResearchSpeech recognitionSignificant differenceBiomedical EngineeringBiophysicsMismatch negativityGeneral MedicineDeviant stimulusComputer Science ApplicationsTransformation (function)Morlet waveletFrequency domainSpectrum analysisPsychologyOddball paradigmNonlinear Biomedical Physics
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A systematic comparison of kinetic modelling methods generating parametric maps for [11C]-(R)-PK11195

2006

[(11)C]-(R)-PK11195 is presently the most widely used radiotracer for the monitoring of microglia activity in the central nervous system (CNS). Microglia, the resident immune cells of the brain, play a critical role in acute and chronic diseases of the central nervous system and in host defence against neoplasia. The purpose of this investigation was to evaluate the reliability and sensitivity of five kinetic modelling methods for the formation of parametric maps from dynamic [(11)C]-(R)-PK11195 studies. The methods we tested were the simplified reference tissue model (SRTM), basis pursuit, a simple target-to-reference ratio, the Logan plot and a wavelet based Logan plot. For the reliabilit…

Correlation coefficientComputer scienceCognitive NeuroscienceBasis pursuitKinetic energySensitivity and SpecificityWaveletAlzheimer DiseaseModelling methodsComputer GraphicsImage Processing Computer-AssistedCluster AnalysisHumansPharmacokineticsCarbon RadioisotopesMathematical ComputingParametric statisticsBrain Mappingbusiness.industryBrainIsoquinolinesReceptors GABA-ALogan plotHuntington DiseaseNeurologyPositron-Emission TomographyMicrogliaNuclear medicinebusinessNeuroImage
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A WAVELET OPERATOR ON THE INTERVAL IN SOLVING MAXWELL'S EQUATIONS

2011

In this paper, a differential wavelet-based operator defined on an interval is presented and used in evaluating the electromagnetic field described by Maxwell's curl equations, in time domain. The wavelet operator has been generated by using Daubechies wavelets with boundary functions. A spatial differential scheme has been performed and it has been applied in studying electromagnetic phenomena in a lossless medium. The proposed approach has been successfully tested on a bounded axial-symmetric cylindrical domain.

Curl (mathematics)Lossless compressionElectromagnetic PhenomenaWavelet operator Maxwell's equationsMathematical analysisComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONData_CODINGANDINFORMATIONTHEORYPhysics::Classical PhysicsElectronic Optical and Magnetic MaterialsSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi Numericasymbols.namesakeWaveletMaxwell's equationsBounded functionsymbolsTime domainMathematicsProgress In Electromagnetics Research Letters
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FABC: Retinal Vessel Segmentation Using AdaBoost

2010

This paper presents a method for automated vessel segmentation in retinal images. For each pixel in the field of view of the image, a 41-D feature vector is constructed, encoding information on the local intensity structure, spatial properties, and geometry at multiple scales. An AdaBoost classifier is trained on 789 914 gold standard examples of vessel and nonvessel pixels, then used for classifying previously unseen images. The algorithm was tested on the public digital retinal images for vessel extraction (DRIVE) set, frequently used in the literature and consisting of 40 manually labeled images with gold standard. Results were compared experimentally with those of eight algorithms as we…

Databases FactualComputer scienceFeature vectorFeature extractionNormal DistributionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONImage processingModels BiologicalEdge detectionArtificial IntelligenceImage Processing Computer-AssistedHumansSegmentationComputer visionAdaBoostFluorescein AngiographyElectrical and Electronic EngineeringTraining setPixelContextual image classificationSettore INF/01 - Informaticabusiness.industryReproducibility of ResultsRetinal VesselsWavelet transformBayes TheoremPattern recognitionGeneral MedicineImage segmentationComputer Science ApplicationsComputingMethodologies_PATTERNRECOGNITIONROC CurveTest setAdaBoost classifier retinal images vessel segmentationArtificial intelligencebusinessAlgorithmsBiotechnology
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Exudate-based diabetic macular edema detection in fundus images using publicly available datasets

2010

International audience; Diabetic macular edema (DME) is a common vision threatening complication of diabetic retinopathy. In a large scale screening environment DME can be assessed by detecting exudates (a type of bright lesions) in fundus images. In this work, we introduce a new methodology for diagnosis of DME using a novel set of features based on colour, wavelet decomposition and automatic lesion segmentation. These features are employed to train a classifier able to automatically diagnose DME through the presence of exudation. We present a new publicly available dataset with ground-truth data containing 169 patients from various ethnic groups and levels of DME. This and other two publi…

Databases Factualgenetic structuresFeature extractionDiabetic macular edemaHealth Informatics02 engineering and technologySensitivity and SpecificityMacular Edema030218 nuclear medicine & medical imagingPattern Recognition Automated03 medical and health sciences0302 clinical medicineWavelet decompositionWaveletImage Interpretation Computer-Assisted[ INFO.INFO-TI ] Computer Science [cs]/Image Processing0202 electrical engineering electronic engineering information engineeringFalse positive paradoxMedicineHumansRadiology Nuclear Medicine and imagingComputer visionGround truthDiabetic RetinopathyRadiological and Ultrasound Technologybusiness.industryReproducibility of ResultsDiabetic retinopathyExudates and Transudatesmedicine.diseaseImage EnhancementComputer Graphics and Computer-Aided Designeye diseases[INFO.INFO-TI]Computer Science [cs]/Image Processing [eess.IV]020201 artificial intelligence & image processingComputer Vision and Pattern RecognitionArtificial intelligencebusinessClassifier (UML)AlgorithmsRetinoscopy
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