Biomedical Engineering Reference
In-Depth Information
2
Registration
Methodology: Introduction
David J. Hawkes
CONTENTS
2.1
Introduction .................................................................................................. 12
2.2
Correspondence ........................................................................................... 13
2.3
Types of Transformation ............................................................................. 17
2.3.1
Dimensionality Transformations ................................................... 17
2.3.1.1
2D-to-2D ............................................................................. 17
2.3.1.2
3D-to-3D ............................................................................. 17
2.3.1.3
2D-to-3D ............................................................................. 17
2.3.1.4
Time..................................................................................... 18
2.3.2
Degrees of Freedom of the Transformation.................................. 18
2.4
Image Registration Algorithms.................................................................. 20
2.4.1
Corresponding Landmark-Based Registration............................ 20
2.4.2
Surface-Based Registration ............................................................. 23
2.4.2.1
The “Head and Hat” Algorithm ..................................... 23
2.4.2.2
Distance Transforms ......................................................... 24
2.4.2.3
The Iterative Closest Point Algorithm ........................... 25
2.4.3
Registration Based on Voxel Intensities
Alone—Voxel Similarity Measures................................................ 25
2.4.3.1
Registration of Multiple Images of the Same Patient
Acquired Using the Same Imaging Modality ............... 26
2.4.3.2
Voxel Similarity Measures Applied to Images from
Different Modalities—Entropy as a Measure
of Alignment ...................................................................... 27
2.4.4
2D-3D Registration .......................................................................... 29
2.5
Nonrigid Registration Algorithms ............................................................ 30
2.5.1
Intersubject Registration ................................................................. 31
2.5.2
Intrasubject Registration ................................................................. 32
2.6
Optimization................................................................................................. 32
2.7
Transformation of Images ........................................................................... 33
