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Medical Image Registration Yi-Yu Chou Nov 14, 2003 Overview 1. Introduction to image registration - The goal of image registration - Motivation for medical image registration - Classification of image registration - Registration approaches 2. Nonrigid Registration Using Free-Form Deformations: Application to Breast MR Images ( D. Rueckert,* L.I. Sonoda, C. Hayes, D.L.G. Hill, M.O. Leach and D.J. Hawke, IEEE Trans. Med. Imaging, Vol. 18, Vo. 8, August 1999) The goal of image registration is to determine a common coordinate system in which images can be compared or fused on a pixel-by-pixel basis. The Goal of Image Registration Motivation for Medical Image Registration 1. To fuse information from multiple imaging devices to correlate different measures of structures and function PET image with MRI Head and neck MRI-CT image Motivation for Medical Image Registration (cont.) 2. To measure dynamic patterns of structure change during brain development, tumor growth, degenerative disease processes or pre- and post intervention images. Normal brain image / Alzheimer’s brain image Pre- and post-surgery of brain MRI Motivation for Medical Image Registration (cont.) 3. Passing segmentation or labeling information from the atlas to subject image Brain atlas and MRI
Transcript

1

Medical Image Registration

Yi-Yu ChouNov 14, 2003

Overview1. Introduction to image registration

- The goal of image registration- Motivation for medical image registration- Classification of image registration- Registration approaches

2. Nonrigid Registration Using Free-Form Deformations: Application to Breast MR Images ( D. Rueckert,* L.I. Sonoda, C. Hayes, D.L.G. Hill, M.O. Leach and D.J. Hawke, IEEE Trans. Med. Imaging, Vol. 18, Vo. 8, August 1999)

The goal of image registration is to determine a common coordinate system in which images can be compared or fused on a pixel-by-pixel basis.

The Goal of Image Registration Motivation for Medical Image Registration

1. To fuse information from multiple imaging devices to correlate different measures of structures and function

PET image with MRI Head and neck MRI-CT image

Motivation for Medical Image Registration (cont.)

2. To measure dynamic patterns of structure change during brain development, tumor growth, degenerative disease processes or pre- and post intervention images.

Normal brain image / Alzheimer’s brain image Pre- and post-surgery of brain MRI

Motivation for Medical Image Registration (cont.)

3. Passing segmentation or labeling information from the atlas to subject image

Brain atlas and MRI

2

1. Rigid

2. Affine

3. Projective

4. Non-rigid

Classification of Image Registration

rigid affine projective Non-rigid

Original grid

1. Spline warps

2. Basis functions

2. Physical models

3. Optical flow-based methods

or

1. Feature based (points, edges, surfaces)

2. Intensity based (work directly with image intensity value)

Registration Approaches

Application of Rigid (Affine) Registration

1. To reduce device induced geometric distortion.2. To reduce the error from patient motion.3. To overcome the global deformation4. To register skull or spinal cord.

Rigid registration of CT bone image to MR T1 weighted image. The outline of the thresholded CT image has been overlayed on both images

Limitation of Rigid (Affine) Registration

Tissue deformation is nonrigid so that the rigid or affine transformations are not sufficient for the correction of the images

Original image Target image

Nonrigid Registration Using Free-Form Deformations: Application to Breast MR Images

Carcinoma of the breast is the most common malignant disease in women in the western world. 9.5% of women will develop the disease in the United Kingdom.

The detection and diagnosis of the breast cancer:- X-ray mammography

- MRI: require the injection

of a contrast agent

X-ray mammography Pre- and post-injection breast MRI

Any motion of the patient between scan, or even normal respiratory and cardiac motion, complicates the detection.

Problem Summary

(a) Before motion (b) After motion (c) After subtracting (b) from (a) without registration

3

Registration Algorithm

The global motion of the breast is modeled by an affine transformation, while the local breast motion is described by a free-form deformation (FFD) based on B-splines.

),,(),,(),,( zyxTzyxTzyxT localglobal +=

Global Motion Model

3D affine transformation :

+

=

34

24

14

333231

232221

131211

),,(θθθ

θθθθθθθθθ

zyx

zyxTglobal

Local Motion Model

Cubic B-spline

Control point spacing : 10mm

6/)(

6/)1333()(6/)463()(

6/)1()(

,,

1,1,1

)()()(),,(

33

232

231

30

3

0

3

0

3

0,,

uuB

uuuuBuuuB

uuB

nz

nzw

ny

nyv

nx

nxu

nzk

nyj

nxi

wBvBuBzyxT

zzyyxx

zyx

l m nnkmjlinmllocal

=

+++−=

+−=

−=

−=

−=

−=

=−

=−

=

Φ=∑∑∑= = =

+++

Optimization

To find the optimal transformation, they minimize a cost function associated with the global transformation parameters θ, as well as the local transformation parameters Φ.

- Csimilarity: image similarity (Normalized mutual information)

- Csmooth: smoothness of the transformation

dxdydzzyT

zxT

yxT

zT

yT

xT

VC

BAHBHAHBAC

TCtITtICC

X Y Z

smooth

similarity

smoothsimilarity

∫ ∫ ∫ ∂∂∂

+∂∂

∂+

∂∂∂

+∂∂

+∂∂

+∂∂

=

+=

+−=Φ

0 0 0

22

22

22

22

22

2

22

2

2

0

])(2)(2)(2)()()[(1),(

)()(),(

)()))((),((),( λθ

(a) before motion (b) after motion (c) rigid (d) affine (e) nonrigid. The corresponding difference images are shown in (f)-(i)

Results:Volunteer data without contrast enhancement

(a) (b) (c) (d) (e)

(f) (g) (h) (i)

(a) before motion (b) after motion (c) rigid (d) affine (e) nonrigid. The corresponding difference images are shown in (f)-(i)

Results:Contrast-enhanced patient study

(a) (b) (c) (d) (e)

(f) (g) (h) (i)

4

(a) Without registration (b) with rigid (c) with affine (d) with nonrigidregistration

Results:Difference images of the patient study

(a) (b)

(d)(c)

Conclusion

The nonrigid registration algorithm is much better able to recover the motion and deformation of the breast than rigid or affine registration algorithm


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