Table of Contents:
  • Mathematics and Physics of Emerging Biomedical Imaging
  • Copyright
  • PREFACE
  • Contents
  • Chapter 1 Introduction and Summary
  • PLATE CAPTIONS
  • Chapter 2 X-Ray Projection Imaging
  • 2.1 INTRODUCTION
  • 2.2 MAMMOGRAPHY
  • 2.2.1 Scanning Methods
  • 2.2.2 Area Detectors
  • 2.3 CHEST RADIOGRAPHY
  • 2.3.1 Scanning Methods
  • 2.3.2 Area Detectors
  • 2.4 DIGITAL FLUOROSCOPY
  • 2.5 PORTAL IMAGING
  • 2.6 RESEARCH OPPORTUNITIES
  • 2.7 Suggested Reading
  • Chapter 3 X-Ray Computed Tomography
  • 3.1 INTRODUCTION
  • 3.1.1 History
  • 3.1.2 Principle of Operation
  • 3.2 PRESENT STATUS OF CT INSTRUMENTATION AND TECHNOLOGY
  • 3.2.1 X-Ray Tubes
  • 3.2.2 Detector Systems
  • 3.2.3 Image Artifacts
  • 3.2.4 Quantitative CT
  • 3.2.5 Requirements for High-Speed CT
  • 3.3 SPIRAL CT
  • 3.4 ELECTRON BEAM TECHNIQUES
  • 3.5 DATA HANDLING AND DISPLAY TECHNIQUES
  • 3.6 RESEARCH OPPORTUNITIES
  • 3.7 Suggested Reading
  • Chapter 4 Magnetic Resonance Imaging
  • 4.1 PRINCIPLES OF MAGNETIC RESONANCE IMAGING
  • 4.2 HARDWARE
  • 4.2.1 Magnet Systems: Current Status and Opportunities
  • 4.2.2 Pulsed-field MRI Systems
  • 4.2.3 Radio-frequency Coils for MRI
  • Computational Design of RF Coils
  • Cooled Receiver Coils for MR Imaging
  • Use of Multiple Receivers
  • 4.2.4 Magnetic Field Gradients
  • Local versus Whole-Body Gradients
  • Design Considerations
  • Applications
  • Bioeffects
  • 4.2.5 Research Opportunities for MRI Hardware
  • Magnet Systems
  • Pulsed-field MRI
  • RF Coils
  • Gradient Systems
  • 4.2.6 Suggested Reading Related to MRI Hardware
  • Magnet Systems
  • Pulsed-field MRI
  • RF Coils
  • Gradient Systems
  • 4.3 DYNAMIC MR IMAGE RECONSTRUCTION
  • 4.3.1 Partial Fourier Reconstruction
  • Predominantly One-sided Data Collection
  • Predominantly Every Other Point
  • Collecting Multiple Echoes
  • Two- and Three-Dimensional Extensions
  • 4.3.2 Reduced Gibbs Ringing.
  • Iterative Sigma Filtering
  • Constraint-based Methods
  • Parametric Estimation
  • 4.3.3 High-speed K-space Coverage Techniques
  • 4.3.4 Research Opportunities in Dynamic MR Image Reconstruction
  • 4.3.5 Suggested Reading Related to Dynamic MR Image Reconstruction
  • 4.4 APPLICATIONS OF DYNAMIC MRI
  • 4.4.1 Blood Flow
  • Fourier Velocity Encoding
  • RF Pulses
  • Measurement of Wave Speed and Distensibility
  • Postprocessing
  • Conclusions Related to MR Imaging of Blood Flow
  • 4.4.2 Diffusion Imaging
  • Measurement of Diffusion Coefficients in vivo
  • Mapping of Diffusion Tensor
  • 4.4.3 Other Tissue Parameters
  • Relaxation Times
  • Oxygen
  • Strain
  • 4.4.4 Functional Brain MRI
  • Contrast Mechanism
  • Imaging Techniques
  • Hardware Requirements
  • Field Strength Considerations As discussed above, local field gradients
  • Processing of Functional Images
  • Safety Considerations
  • Biophysical Modeling
  • 4.4.5 Multinuclear MRI
  • MR Spectroscopy and Spectroscopic Imaging
  • Injected Paramagnetic Contrast Agents and Hyperpolarized Noble Gases
  • 4.4.6 Microscopic Imaging
  • Resolution
  • Signal-to-Noise Ratios
  • Gradients
  • Diffusion
  • Motion
  • Future Applications of in vivo MRI Microscopy
  • 4.4.7 Research Opportunities Related to Applying Dynamic MRI
  • Blood Flow
  • Diffusion Imaging
  • Other Tissue Parameters
  • Functional Brain MRI
  • Multinuclear MRI
  • Microscopic Imaging
  • 4.4.8 Suggested Reading on Applications of Dynamic MRI
  • Blood Flow
  • Diffusion Imaging
  • Other Tissue Parameters
  • Functional Brain MRI
  • Multinuclear MRI
  • Microscopic Imaging
  • Chapter 5 Single Photon Emission Computed Tomography
  • 5.1 INTRODUCTION
  • 5.2 PHYSICAL AND INSTRUMENTATION FACTORS THAT AFFECT SPECT IMAGES
  • 5.3 SPECT INSTRUMENTATION
  • 5.3.1 SPECT System Designs
  • 5.3.2 Special Collimators
  • 5.3.3 New Radiation Detector Technologies.
  • 5.4 SPECT IMAGE RECONSTRUCTION
  • 5.4.1 The SPECT Reconstruction Problem
  • 5.4.2 SPECT Image Reconstruction Methods
  • Compensation Methods
  • Three-Dimensional Reconstruction Methods for Special Collimator Designs
  • 5.5 RESEARCH OPPORTUNITIES
  • 5.6 Suggested Reading
  • Chapter 6 Positron Emission Tomography
  • 6.1 INTRODUCTION
  • 6.1.1 History
  • 6.1.2 Applications
  • 6.1.3 Principle of Operation
  • 6.2 CURRENT STATUS OF PET TECHNOLOGY
  • 6.2.1 γ-Ray Detectors
  • 6.2.2 Limitations of the Spatial Resolution
  • 6.2.3 System Electronics
  • 6.2.4 Data Correction and Reconstruction Algorithms
  • 6.3 THREE-DIMENSIONAL ACQUISITION AND RECONSTRUCTION
  • 6.3.1 Principle of Three-Dimensional Acquisition
  • 6.3.2 Three-Dimensional Reconstruction
  • 6.3.3 Scatter Correction in Three Dimensions
  • 6.3.4 Attenuation Correction in Three Dimensions
  • 6.4 RESEARCH OPPORTUNITIES
  • 6.5 Suggested Reading
  • Chapter 7 Ultrasonics
  • 7.1 INTRODUCTION
  • 7.2 INSTRUMENTATION
  • 7.2.1 Transducers
  • Field Distributions
  • Acoustics and Vibration
  • Electromechanical Properties of Ferroelectric Materials
  • 7.2.2 Ultrasonic Beam Forming
  • 7.2.3 Signal Processing
  • 7.3 SCATTERING
  • 7.4 ULTRASONIC TOMOGRAPHY
  • 7.5 RESEARCH OPPORTUNITIES
  • 7.6 Suggested Reading
  • Chapter 8 Electrical Source Imaging
  • 8.1 INTRODUCTION
  • 8.2 OUTLINE OF ESI RECONSTRUCTION METHODS
  • 8.2.1 Forward Problem
  • 8.2.2 Inverse Problem
  • 8.2.3 Temporal Regularization
  • 8.3 RESEARCH PROBLEMS AND OPPORTUNITIES
  • 8.4 Suggested Reading
  • Chapter 9 Electrical Impedance Tomography
  • 9.1 INTRODUCTION
  • 9.2 COMPARISON TO OTHER MODALITIES
  • 9.3 PRESENT STATUS OF EIT AND LIMITATIONS
  • 9.4 RESEARCH OPPORTUNITIES
  • 9.5 Suggested Reading
  • Chapter 10 Magnetic Source Imaging
  • 10.1 INTRODUCTION
  • 10.2 MATHEMATICAL CONSIDERATIONS
  • 10.3 SOURCE MODELS
  • 10.4 RESOLUTION
  • 10.5 SUMMARY.
  • 10.6 RESEARCH OPPORTUNITIES
  • 10.7 Suggested Reading
  • Chapter 11 Medical Optical Imaging
  • 11.1 INTRODUCTION
  • 11.2 DATA ACQUISITION STRATEGIES
  • 11.3 COMPARISONS WITH OTHER IMAGING MODALITIES
  • 11.4 POSSIBLE APPLICATIONS OF OPTICAL TOMOGRAPHY
  • 11.5 RESEARCH OPPORTUNITIES
  • 11.6 Suggested Reading
  • Chapter 12 Image-Guided Minimally Invasive Diagnostic and Therapeutic Interventional Procedures
  • 12.1 THERAPEUTIC INTERVENTION EXPERIENCE WITH DIFFERENT IMAGING MODALITIES
  • 12.1.1 X-Ray Imaging
  • 12.1.2 Computed Tomography
  • 12.1.3 Ultrasound
  • 12.1.4 Endoscopy
  • 12.1.5 Magnetic Resonance Imaging
  • 12.2 THE ROLES OF IMAGING IN THERAPY
  • 12.2.1 Planning
  • 12.2.2 Guidance
  • 12.2.3 Monitoring and Localization
  • 12.2.4 Control
  • 12.3 THERMAL SURGERY
  • 12.3.1 Interstitial Laser Therapy
  • 12.3.2 Cryotherapy
  • 12.3.3 Focused Ultrasound
  • 12.4 RESEARCH AND DEVELOPMENT OPPORTUNITIES
  • Planning
  • Guidance and Localization
  • Monitoring
  • Control
  • Instruments and Systems
  • 12.5 Suggested Reading
  • Chapter 13 Frontiers of Image Processing for Medicine
  • 13.1 IMAGE SEGMENTATION
  • 13.2 COMPUTATIONAL ANATOMY
  • 13.3 REGISTRATION OF MULTIMODALITY IMAGES
  • 13.4 SYNTHESIS OF PARAMETRIC IMAGES
  • 13.5 DATA VISUALIZATION
  • 13.6 TREATMENT PLANNING
  • 13.7 RESEARCH OPPORTUNITIES
  • 13.8 Suggested Reading
  • Chapter 14 A Cross-Cutting Look at the Mathematics of Emerging Biomedical Imaging
  • 14.1 MATHEMATICAL MODELS FOR PARTICULAR IMAGING MODALITIES
  • 14.1.1 Transmission Computed Tomography
  • 14.1.2 Emission Computed Tomography
  • 14.1.3 Ultrasound Computed Tomography
  • 14.1.4 Optical Tomography
  • 14.1.5 Electrical Impedance Tomography
  • 14.1.6 Magnetic Resonance Imaging
  • 14.1.7 Vector Tomography
  • 14.1.8 Tensor Tomography
  • 14.1.9 Magnetic Source Imaging
  • 14.1.10 Electrical Source Imaging
  • 14.2 FORWARD PROBLEMS.
  • 14.3 INVERSE PROBLEMS
  • 14.4 ILL-POSEDNESS AND REGULARIZATION
  • 14.4.1 The Tikhonov-Phillips Method
  • 14.4.2 The Truncated Singular Value Decomposition
  • 14.4.3 Iterative Methods
  • 14.4.4 Regularization by Discretization
  • 14.4.5 Maximum Entropy
  • 14.5 SAMPLING
  • 14.5.1 Sampling in Real Space
  • 14.5.2 Sampling in Fourier Space
  • 14.6 PRIORS AND SIDE INFORMATION
  • 14.7 RESEARCH OPPORTUNITIES
  • 14.8 Suggested Reading
  • Index.