IP Library Granted Patent US 7,187,792
Granted Patent B2
US 7,187,792 · App. 10/652,717 · Granted Mar 6, 2007

Apparatus and method for determining measure of similarity between images

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Quick Facts
Patent No.
US 7,187,792
App. No.
10/652,717
Granted
Mar 6, 2007
Kind
B2
Abstract

A method and system is presented in image-guided radiosurgery for determining the measure of similarity of two digital images, for example a 2D x-ray image and a 2D DRR synthesized from 3D scan data. A two-dimensional array of pixel values of a difference image is formed by subtracting each pixel value of the second image from the corresponding pixel value of the first image. The pattern intensity function is constructed by taking the summation of asymptotic functions of the gradients of the difference image. The neighborhood R is defined so as to allow the gradients of the difference image to be considered in at least four directions.

Claims (268)

1. A method in image-guided surgery for determining the measure of similarity of a first image of an object and a second image of said object, the method comprising:

a. forming a difference image by subtracting the corresponding pixel values of the second image from each pixel value of the first image;

wherein said first image is an x-ray image of said object generated in near real time, and said second image is a DRR (digitally reconstructed radiograph) synthesized from previously generated 3D scan data of said object; and

b. forming a pattern intensity function by summing asymptotic functions of the gradients of said difference image over all the pixels within a neighborhood R;

wherein said neighborhood R is defined so that said gradients of said difference image can be considered in at least four directions.

2. A method in accordance with claim 1 , wherein said pattern intensity function is an asymptotic function of the gradients of said difference image.

3. A method in accordance with claim 1 , wherein said first and second images, and said difference image, are digital images.

4. A method in accordance with claim 1 , wherein said first and second images are discretized images respectively characterized by a first and a second 2D (two-dimensional) array of pixel values; and

wherein said difference image is a discretized image characterized by a third 2D array of pixel values.

5. A method in accordance with claim 4 , wherein each pixel value of an image is a number representative of the intensity of said image at a corresponding 2D array element.

6. A method in accordance with claim 4 , wherein the number of rows of said first array is equal to the number of rows of said second array and said third array, and the number of columns of said first array is equal to the number of columns of said second array and said third array.

7. A method in accordance with claim 4 , wherein the number of rows and columns of said first and second arrays is about 512.

8. A method in accordance with claim 4 ,

wherein the pixel value for each image represents the intensity of said image, and

wherein the pixel value at the i-th row and j-th column of said third array of pixel values for said difference image is given by:

I dif ( i,j )= I Live ( i,j )− I DRR ( i,j ),

wherein I Live (i,j) represents the (i,j)-th pixel value of a real-time x-ray image of said object, and I DRR (i,j) represents the (i,j)th pixel value of a digitally reconstructed image of said object synthesized from previously generated 3D scan data of said object.

9. A method in accordance with claim 1 , wherein said x-ray image of said target is obtained by transmitting through said target an imaging beam having a known intensity and a known position and angle relative to said target, and wherein said 2D DRR (digitally reconstructed radiographs) representing the radiographic image of said target that would be obtained with said imaging beam at said known intensity, position and angle, if said target were positioned in accordance with said 3D scan data.

10. A method in accordance with claim 1 ,

wherein said pattern intensity function is characterized by a mathematical formulation given by:

i

,

j

k

,

l

R

σ

2

σ

2

+

(

I

dif

(

i

,

j

)

-

I

dif

(

i

+

k

,

j

+

l

)

)

2

,

where I dif (i , j) represents the array of pixel values for said difference image, where σ is a weighting constant for weighting said function, and where R is a neighborhood defined around the pixel (i,j) as a center point.

11. A method in accordance with claim 10 , wherein σ is from about 4 to about 16.

12. A method in accordance with claim 1 , wherein said at least four directions comprise:

a. a substantially horizontal direction;

b. a substantially vertical direction;

c. a diagonal direction of about 45 degrees; and

d. a diagonal direction of about −45 degrees.

13. A method in accordance with claim 12 , Wherein the result of the sampling of said pattern intensity in said neighborhood R, the pattern intensity function is given by:

i

,

j

σ

2

σ

2

+

(

I

dif

(

i

,

j

)

-

I

dif

(

i

,

j

-

1

)

)

2

+

i

,

j

σ

2

σ

2

+

(

I

dif

(

i

,

j

)

-

I

dif

(

i

-

1

,

j

)

)

2

+

i

,

j

σ

2

σ

2

+

(

I

dif

(

i

,

j

)

-

I

dif

(

i

-

1

,

j

-

1

)

)

2

+

i

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j

σ

2

σ

2

+

(

I

dif

(

i

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j

)

-

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dif

(

i

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1

,

j

+

1

)

)

2

.

14. A method in accordance with claim 1 , wherein said 3D scan data comprise at least one of CT scan data, MRI scan data, ultrasound scan data, and PET (positron emission tomography) data.

15. A system for determining the measure of similarity of a 2D x-ray image of an object and a 2D DRR of said object generated from previously obtained 3D scan data, said x-ray image and said DRR being discretized images characterized by a first and second 2D array of pixel values, the system comprising:

a. means for generating 3D scan data of said object;

b. an x-ray source for generating at least one imaging beam;

c. imaging means for generating a 2D radiographic image of said object in near real time, by directing said imaging beam towards and through said object from a known location and angle and at a known intensity, and detecting said imaging beam after said beam has passed through said object;

d. a controller, including:

i) software for generating a set of 2D DRR images of said object, using said 3D scan data and said known location, angle, and intensity of said imaging beam; and

ii) software for determining the measure of similarity between said 2D x-ray image and said 2D DRR, by subtracting each pixel value of said second image from a corresponding pixel value of said first image to form a difference image, by adding the asymptotic functions of the gradients of the difference image over all the pixels within a neighborhood R;

wherein said pattern intensity function is an asymptotic function of the gradients of said difference image; and

wherein said neighborhood R is defined so that said gradients of said difference image can be considered in at least four directions.

16. A system in accordance with claim 15 , wherein said at least four directions comprise:

a. a substantially horizontal direction;

b. a substantially vertical direction;

c. a diagonal direction of about 45 degrees; and

d. a diagonal direction of about −45 degrees.

17. A system in accordance with claim 15 ,

wherein said pattern intensity function is given by:

i

,

j

k

,

l

R

σ

2

σ

2

+

(

I

dif

(

i

,

j

)

-

I

dif

(

i

+

k

,

j

+

l

)

)

2

,

where I dif (i, j) represents the array of pixel values for said difference image,

where σ is a weighting constant, and wherein said neighborhood R uses the pixel (i,j) as a center point.

Assignments (13)
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Aug 13, 2025
From: ACCURAY INCORPORATED
To: ACCURAY LLC
Reel/Frame 072421/0584 →
RELEASE OF SECURITY INTEREST Recorded Jun 6, 2025
From: FIRST-CITIZENS BANK & TRUST COMPANY
To: ACCURAY INCORPORATED
Reel/Frame 071638/0034 →
RELEASE OF SECURITY INTEREST Recorded May 20, 2021
From: MIDCAP FUNDING IV TRUST (AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FUNDING X TRUST, AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FUNDING IV TRUST, AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FINANCIAL TRUST)
To: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
Reel/Frame 056318/0559 →
RELEASE OF SECURITY INTEREST Recorded May 20, 2021
From: MIDCAP FINANCIAL TRUST
To: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
Reel/Frame 056318/0751 →
SECURITY INTEREST Recorded May 14, 2021
From: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
To: SILICON VALLEY BANK, AS ADMINISTRATIVE AND COLLATERAL AGENT
Reel/Frame 056247/0001 →
ASSIGNMENT OF SECURITY AGREEMENTS Recorded Mar 1, 2019
From: MIDCAP FUNDING X TRUST (AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FUNDING IV TRUST, AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FINANCIAL TRUST), AS EXISTING ADMINISTRATIVE AGENT
To: MIDCAP FUNDING IV TRUST, AS SUCCESSOR TO EXISTING ADMINISTRATIVE AGENT
Reel/Frame 048481/0804 →
SECURITY INTEREST Recorded Dec 19, 2017
From: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
To: MIDCAP FINANCIAL TRUST
Reel/Frame 044910/0685 →
SECURITY INTEREST Recorded Jun 15, 2017
From: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
To: MIDCAP FUNDING IV TRUST (AS SUCCESSOR BY ASSIGNMENT FROM MIDCAP FINANCIAL TRUST)
Reel/Frame 042826/0358 →
RELEASE OF SECURITY INTEREST Recorded Jun 15, 2017
From: CERBERUS BUSINESS FINANCE, LLC. AS COLLATERAL AGENT
To: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
Reel/Frame 042821/0580 →
ASSIGNMENT FOR SECURITY - PATENTS Recorded Jan 13, 2016
From: ACCURAY INCORPORATED; TOMOTHERAPY INCORPORATED
To: CERBERUS BUSINESS FINANCE, LLC, AS COLLATERAL AGENT
Reel/Frame 037513/0170 →
RELEASE OF SECURITY INTEREST Recorded Nov 7, 2006
From: SILICON VALLEY BANK
To: ACCURAY INCORPORATED
Reel/Frame 018490/0163 →
SECURITY INTEREST Recorded Mar 24, 2004
From: ACCURAY INCORPORATED
To: SILICON VALLEY BANK
Reel/Frame 015116/0753 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Dec 1, 2003
From: FU, DONGSHAN; KUDUVALLI, GOPINATH
To: ACCURAY, INC.
Reel/Frame 014741/0079 →