医学图像重建

医学图像重建

(美) 曾更生, 著

出版社:高等教育出版社

年代:2009

定价:38.0

书籍简介:

本书主要介绍医学图像分析系统的现代图像重建技术,内容涵盖二维(2D)平行光束和扇形束成像,三维(3D)平行线、平行面和锥形束成像。详细内容包括:解析算法和迭代算法,以及这些算法在X光CT、SPECT、PET、MRI等医学影像中的应用;使用截断的投影数据精确重建ROI,Katsevich的锥形束滤波反投影(FBP)算法以及利用l0极小化方法来重建极度欠采样数据。本书力图用深入浅出的方式介绍一些高深的理论,用图示的方式来展开讨论。本书可作为医学工程类高年级本科生和研究生的教学参考书,也可作为生物医学工程类的工程技术人员学习医学图像和图像处理与重建知识的入门读物。

书籍目录:

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

5.3.1FeldkampsAlgorithm

5.3.2GrangeatsAlgorithm

5.3.3KatsevichsAlgorithm

*5.4MathematicalExpressions

5.4.1Backprojection-then-FilteringforParallelLine-IntegralData

5.4.2FilteredBackprojectionAlgorithmforParallelLine-IntegralData

5.4.33DRadonInversionFormula

5.4.43DBackprojection-then-FilteringAlgorithmforRadonData

5.4.5FeldkampsAlgorithm

5.4.6TuysRelationship

5.4.7GrangeatsRelationship

5.4.8KatseviehsAlgorithm

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

6.9.5GreensOne-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

内容摘要:

  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.

书籍规格:

书籍详细信息
书名医学图像重建站内查询相似图书
9787040204377
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出版地北京出版单位高等教育出版社
版次1版印次1
定价(元)38.0语种英文
尺寸24 × 0装帧平装
页数印数 1500

书籍信息归属:

医学图像重建是高等教育出版社于2009.11出版的中图分类号为 R445 的主题关于 医学图像-图像处理-英文 的书籍。