Search results for "Conjugate gradient algorithm"

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Conjugate Gradient Method for Brain Magnetic Resonance Images Segmentation

2018

Part 8: Pattern Recognition and Image Processing; International audience; Image segmentation is the process of partitioning the image into regions of interest in order to provide a meaningful representation of information. Nowadays, segmentation has become a necessity in many practical medical imaging methods as locating tumors and diseases. Hidden Markov Random Field model is one of several techniques used in image segmentation. It provides an elegant way to model the segmentation process. This modeling leads to the minimization of an objective function. Conjugate Gradient algorithm (CG) is one of the best known optimization techniques. This paper proposes the use of the nonlinear Conjugat…

Ground truthComputer sciencebusiness.industryThe Conjugate Gradient algorithmComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONBrain image segmentationPattern recognition02 engineering and technologyImage segmentationImage (mathematics)Nonlinear conjugate gradient method03 medical and health sciences0302 clinical medicineDice Coefficient metricHidden Markov Random FieldConjugate gradient methodComputer Science::Computer Vision and Pattern Recognition0202 electrical engineering electronic engineering information engineering020201 artificial intelligence & image processingSegmentation[INFO]Computer Science [cs]Artificial intelligencebusinessHidden Markov random field030217 neurology & neurosurgery
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Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements

2010

The classical way of solving the time-harmonic linear acousto-elastic wave problem is to discretize the equations with finite elements or finite differences. This approach leads to large-scale indefinite complex-valued linear systems. For these kinds of systems, it is difficult to construct efficient iterative solution methods. That is why we use an alternative approach and solve the time-harmonic problem by controlling the solution of the corresponding time dependent wave equation. In this paper, we use an unsymmetric formulation, where fluid-structure interaction is modeled as a coupling between pressure and displacement. The coupled problem is discretized in space domain with spectral el…

ControllabilityDiscretizationSpectral element methodfluid-structure interactionspectral element methodacoustic wavescoupled problemTime-harmonic solutioncontrollabilityConjugate gradient methodFluid-structure interactionTime domainCoupled problemMathematicsElastic wavesSpectral element methodelastic wavestime-harmonic solutionApplied MathematicsMathematical analysisLinear systemFinite differenceFinite element methodControllabilityComputational MathematicsAcoustic wavesConjugate gradient algorithmconjugate gradient algorithmJournal of Computational and Applied Mathematics
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