医学图像重建（英文版）

图书标准信息

• 作者 [美]曾更生 著
• 出版社 高等教育出版社
• 出版时间 2009-11
• 版次 1
• ISBN 9787040204377
• 定价 38.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 198页
• 字数 316千字
• 正文语种 英语

【内容简介】

　　MedicalImageReconstructionAConceptualTutorialintroducestheclassicalandmodernimagereconstructiontechnologies，suchastwo-dimensional(2D)parallel-beamandfan-beamimaging，three-dimensional(3D)parallelray，parallelplane，andcone-beamimaging.ThisbookpresentsbothanalyticalanditerativemethodsofthesetechnologiesandtheirapplicationsinX-rayCT(computedtomography)，SPECT(singlephotonemissioncomputedtomography)，PET(positronemissiontomography)，andMRI(magneticresonanceimaging).Contemporaryresearchresultsinexactregion-of-interest(ROI)reconstructionwithtruncatedprojections，Katsevichscone-beamfilteredbackprojectionalgorithm，andreconstructionwithhighlyundersampleddatawith/o-minimizationarealsoincluded.
　　Thisbookiswrittenforengineersandresearchersinthefieldofbiomedicalengineeringspecializinginmedicalimagingandimageprocessingwithimagereconstruction.

【作者简介】

　　GengshengLawrenceZengisanexpertinthedevelopmentofmedicalimagereconstructionalgorithmsandisaprofessorattheDepartmentofRadiology，UniversityofUtah，SaltLakeCity，Utah，USA.

【目录】

1BasicPrinciplesofTomography
1.1Tomography
1.2Projection
1.3ImageReconstruction
1.4Backprojection
*1.5MathematicalExpressions
1.5.1Projection
1.5.2Backprojection
1.5.3TheDiracδ-function
1.6WorkedExamples
1.7Summary
Problems
References

2Parallel-BeamImageReconstruction
2.1FourierTransform
2.2CentralSliceTheorem
2.3ReconstructionAlgorithms
2.3.1Method1
2.3.2Method2
2.3.3Method3
2.3.4Method4
2.3.5Method5
2.4AComputerSimulation
*2.5ROIReconstructionwithTruncatedProjections
*2.6MathematicalExpressions
2.6.1TheFourierTransformandConvolution
2.6.2TheHilbertTransformandtheFiniteHilbertTransform
2.6.3ProofoftheCentralSliceTheorem
2.6.4DerivationoftheFilteredBackprojectionAlgorithm
2.6.5ExpressionoftheConvolutionBackprojectionAlgorithm
2.6.6ExpressionoftheRadonInversionFormula
2.6.7DerivationoftheBackprojection-then-FilteringAlgorithm
2.7WorkedExamples
2.8Summary
Problems
References

3Fan-BeamImageReconstruction
3.1Fan-BeamGeometryandPointSpreadFunction
3.2Parallel-BeamtoFan-BeamAlgorithmConversion
3.3ShortScan
*3.4MathematicalExpressions
3.4.1DerivationofaFilteredBackprojectionFan-BeamAlgorithm
3.4.2AFan-BeamAlgorithmUsingtheDerivativeandtheHilbertTransform
3.5WorkedExamples
3.6Summary
Problems
References

4TransmissionandEmissionTomography
4.1X-RayComputedTomography
4.2PositronEmissionTomographyandSinglePhotonEmissionComputedTomography
4.3AttenuationCorrectionforEmissionTomography
*4.4MathematicalExpressions
4.5WorkedExamples
4.6Summary
Problems
References

53DImageReconstruction
5.1ParallelLine-IntegralData
5.1.1Backprojection-then-Filtering
5.1.2FilteredBackprojection
5.2ParallelPlane-IntegralData
5.3Cone-BeamData
5.3.1Feldkamp\sAlgorithm
5.3.2Grangeat\sAlgorithm
5.3.3Katsevich\sAlgorithm
*5.4MathematicalExpressions
5.4.1Backprojection-then-FilteringforParallelLine-IntegralData
5.4.2FilteredBackprojectionAlgorithmforParallelLine-IntegralData
5.4.33DRadonInversionFormula
5.4.43DBackprojection-then-FilteringAlgorithmforRadonData
5.4.5Feldkamp\sAlgorithm
5.4.6Tuy\sRelationship
5.4.7Grangeat\sRelationship
5.4.8Katsevieh\sAlgorithm
5.5WorkedExamples
5.6Summary
Problems
References

6IterativeReconstruction
6.1SolvingaSystemofLinearEquations
6.2AlgebraicReconstructionTechnique
6.3GradientDescentAlgorithms
6.4Maximum-LikelihoodExpectation-MaximizationAlgorithms
6.5Ordered-SubsetExpectation-MaximizationAlgorithm
6.6NoiseHandling
6.6.1AnalyticalMethods——Windowing
6.6.2IterativeMethods——StoppingEarly
6.6.3IterativeMethods——ChoosingPixels
6.6.4IterativeMethods——AccurateModeling
6.7NoiseModelingasaLikelihoodFunction
6.8IncludingPriorKnowledge
*6.9MathematicalExpressions
6.9.1ART
6.9.2ConjugateGradientAlgorithm
6.9.3ML-EM
6.9.4OS-EM
6.9.5Green\sOne-StepLateAlgorithm
6.9.6MatchedandUnmatchedProjector/BackprojectorPairs
*6.10ReconstructionUsingHighlyUndersampledDatawith10Minimization
6.11WorkedExamples
6.12Summary
Problems
References

7MRIReconstruction
7.1The\"M\"
7.2The\"R\"
7.3The\"T\"
7.3.1ToObtainz-Information——SliceSelection
7.3.2ToObtainx-Information——FrequencyEncoding
7.3.3ToObtainy-Information——PhaseEncoding
*7.4MathematicalExpressions
7.5WorkedExamples
7.6Summary
Problems
References
Index