Red means it is quoted from Hornak; Green means it is in Hornak
and should be shown in class (e.g., picture, animation, table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his Content
Page 1 of 4
CS 359
Medical Image Registration
J. M. Fitzpatrick
Assignment 2, Due Thursday, Oct 6.
Problem 1
This is a problem to turn in on paper only. It is a set of short derivations from class. We
were discussing point-based rigid registration, where
CS 395, Section 6
Medical Image Processing
J. M. Fitzpatrick
Homework Assignment 1 (Problems are listed in order of increasing difficulty)
1.
2.
3.
4.
5.
Prove Eulers theorem.
Derive the closed-form solution for the Orthogonal Procrustes Problem.
Climb Mo
CS 359
Medical Image Registration
J. M. Fitzpatrick
Assignment 1
To become familiar with Matlab and its support for image processing, you can use
Matlabs Help Facility. The systems provided by the E-School are:
Matlab Version 6.5.0.Release 13 with the Im
Very Quick Introduction to MRI
The point of this introduction is to give the student a sufficiently accurate mental picture
of MRI to help understand its impact on image registration. The two major aspects are (1)
the ability of MRI to produce more than o
Very Quick Introduction to CT
Start with http:/en.wikipedia.org/wiki/Computed_tomography.
History. Beatles, Godfrey Hounsfield and Allan Cormack, EMI Scanner.
Pictures of typical scanners. Google CT scanner for images. These things can spin at 2
revs/seco
1 Outline of Lecture Coverage in CS 359 1. (Thursday, 08/25/05) A. Web pages, B. Begin overview in PowerPoint 2. (Tuesday, 08/30/05) A. Continue overview in PowerPoint, flying through Surface-based, and ending on the Point-based slide that shows FLE, FRE,
Derivation of the Proper Rotation R that minimizes FRE
We have already shown the importance of singular value decomposition of the crosscovariance matrix, XY t = U L V t , where V tV = I , U tU = I , L = diag ( L 1 , L 2 , L 3 ) , and
L 1 L 2 L 3 0 . With
Chap 12 Notes ( indicates a picture) Purple means scanned image.
12. Guiding Therapeutic Procedures (Chapter title)
12.1. Intro: Primary subject is the use of registration to map points from a preoperative image to points in patient anatomy during therapy
Chap 11 Notes
11. Image Registration In Nuclear Medicine
11.1. Intro: Radionuclides are radioactive nuclei. They label molecules, which are
then radiotracers; functional changes precede anatomical changes in all cases
except for trauma; registration uses:
Chap 10 Notes
(Note: To see Visible Human Project, go to
http:/www.nlm.nih.gov/research/visible/visible_human.html. Also look at
http:/visiblehuman.epfl.ch/intapplet.php for a convenient interface for anatomical
exploration.)
10. Registration of MR and CT
Chap 9 Notes
9. Registration Of MR and PET Images for Clinical Applications
9.1.
Intro
9.2.
Properties of PET Images: Tracer is a molecule labeled with a radioactive
atom. FDG is most common (Fluro-deoxy-glucose). Functional images;
resolution ~ 2-3 mm fr
Chap 6 Notes
6. Detecting Failure, Assessing Success
6.1.
Introduction
Registration is useful only if embedded in a complete system
Registration provides only an aligning transformation
Rest of embedding system makes transformation useful
Quality of r
Chap 5 Notes
5. Correcting for Scanner Errors in CT, MRI, SPECT, and 3D Ultrasound
5.1.
Intro: Emission Tomography (ET) = SPECT+PET
5.2.
CT errors mostly handled now. Also consider the N-bar frame
5.3.
MR distortions
Gradient nonlinearity
Field inhomoge
Chap 3 Outline
3. Registration Methodology: Concepts and Algorithms
3.1.
Introduction: This chapter uses 3D rigid registration as an exemplar.
3.2.
Notation and Terminology: The importance of the overlap region is
emphasize. Also, they use a boldface T fo
Chap 1 Notes
1. Introduction
1.1.
Preface: Image registration is the process of aligning images so that
corresponding features can easily be related. Note that this is a much less
mathematical definition than the one that we are using in our class, namely
Week 1. Red means it is quoted from Hornak; Green
means it is in Hornak and should be shown in class
(e.g., picture, animation, table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his
These changes were made 11/17/2004 to these notes:
1. Added an explanatory note (in pink!) in parentheses on page 2.
2. Corrected total derivatives to partial derivatives in Eq. and preceding equation on page 4 and
in Eqs. and .
11. Distortion arising fro
Week 1. Red means it is quoted from Hornak; Green means it is in
Hornak and should be shown in class (e.g., picture, animation,
table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his
Week 1. Red means it is quoted from Hornak; Green
means it is in Hornak and should be shown in class
(e.g., picture, animation, table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his
Week 1. Red means it is quoted from Hornak; Green
means it is in Hornak and should be shown in class
(e.g., picture, animation, table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his
12. Examples of distortion for SE images
Show simulated_phantoms.doc (should be on-line under other).
Show examples from Yoders Thesis
Yoder, Chapter III.
The phantoms are cylinders, Show Figure 18 in Section 3.2 of Yoders dissertation to
see what the fie
12. Examples of distortion for SE images
Show simulated_phantoms.doc (should be on-line under other).
Show examples from Yoders Thesis
Yoder, Chapter III.
The phantoms are cylinders, Show Figure 18 in Section 3.2 of Yoders dissertation to
see what the fie
These changes were made 11/17/2004 to these notes:
1. Added an explanatory note (in pink!) in parentheses on page 2.
2. Corrected total derivatives to partial derivatives in Eq. and preceding equation on page 4 and
in Eqs. and .
11. Distortion arising fro
Red means it is quoted from Hornak; Green means it is in Hornak
and should be shown in class (e.g., picture, animation, table, etc.)
The Basics of MRI by Hornak
About the author
How to get the book @ $20 per machine.
My annotated version of his Content
x ( x1 , y1 , z ) x1
B ( x ( x1 , y1 , z1 ) , y1 , z ( x1 , y1 , z1 ) )
Gx
x ( x1 , y1 , z1 )
x ( x1 , y1 , z ) x ( x1 , y1 , z1 )
Now we define a new coordinate system rotated about the y axis relative our
1
our current system by tan ( Gx Gz ) . We desi