Method and apparatus for generating a result image based on a tomosynthesis image dataset of a breast

1 . A method for generating a resultant image based on a tomosynthesis image dataset of a breast, which has been fixed to a detector by a compression plate, wherein a contact surface of at least one of the compression plate or the detector facing the breast has a concave curvature, and wherein the method comprises:

defining curved slices between the compression plate and the detector, each curved slice having a shape that follows a curvature of the at least one of the compression plate or the detector or that represents a transition between the curvature of the compression plate and the curvature of the detector;

reconstructing slice images that lie on the curved slices;

generating the resultant image as a slice stack of the slice images; and

outputting the resultant image.

2 . The method as claimed in claim 1 , wherein

a curvature of a first curved slice, which is adjacent to the compression plate, substantially corresponds to a shape of the contact surface of the compression plate,

a curvature of a second curved slice, which is adjacent to the detector, substantially corresponds to a shape of the contact surface of the detector,

a curvature of intermediate curved slices follows a regular transition between the curvature of the first curved slice and the curvature of the second curved slice,

the second curved slice and the contact surface of the detector are flat, and

the curvature of the intermediate curved slices increases steadily from the second curved slice to the first curved slice.

3 . The method as claimed in claim 2 , wherein the curvature of at least one of the first curved slice or the second curved slice is based on a measurement of an adjacent contact surface or based on data from a sensor that measures a shape of a surface of the breast.

4 . The method as claimed in claim 1 , further comprising:

Constructing a first coordinate system (x n , y n , z n ) for the curved slices, wherein

coordinates (x n , y n ) in each case lie in a curved slice at a same n,

the z n above an area (x n , y n ) specifies a position of points of the curved slice,

coordinates (x n , y n , z n ) are calculated from

a plurality of functions F n for individual slices,

a function dependent on n, or

a function dependent on z, and

coordinates of points on flat slices are selected for z.

5 . The method as claimed in claim 4 , wherein

the reconstructing of the slice images is based on a calculation of paths of X-rays penetrating the curved slices, and

for a projection of the curved slices, coordinate pairs are determined between the first coordinate system (x n , y n , z n ) and a second coordinate system (x, y, z) in which a plurality of rays with angles (α, φ) between points of intersection with the detector and a surface of the breast are scanned in equidistant steps.

6 . The method as claimed in claim 4 , wherein

the reconstructing takes into account a conical shape of an X-ray beam, and

the position of a plurality of points of the curved slices are determined and a correction calculation for compensating for the conical shape of the X-ray beam is carried out for the plurality of points.

7 . The method as claimed in claim 1 , wherein

a three-dimensional image of the breast in Cartesian coordinates is created as the resultant image, and

image coordinates of the slice images are converted into Cartesian coordinates via a linear transformation.

8 . The method as claimed in claim 1 , wherein the curved slices are aligned orthogonally to a surface normal of the contact surface of the detector and the slice images are stacked in a direction of the surface normal to form the slice stack.

9 . An apparatus for generating a resultant image based on a tomosynthesis image dataset of a breast, which has been fixed to a detector by a compression plate, wherein a contact surface of at least one of the compression plate or the detector facing the breast has a concave curvature, and wherein the apparatus comprises:

a slice unit configured to define curved slices between the compression plate and the detector, each curved slice having a shape that follows a curvature of the at least one of the compression plate or the detector or that represents a transition between the curvature of the compression plate and the curvature of the detector;

a reconstruction unit configured to reconstruct slice images lying on the curved slices;

a resultant image generating unit configured to generate the resultant image as a slice stack of the slice images; and

a data interface configured to output the resultant image.

10 . A mammography system comprising the apparatus as claimed in claim 9 .

11 . A non-transitory computer program product comprising instructions that, when executed by a computer, cause the computer to execute the method as claimed in claim 1 .

12 . A non-transitory computer-readable storage medium comprising instructions that, when executed by a computer, cause the computer to execute the method as claimed in claim 1 .

13 . The method as claimed in claim 1 , wherein

a curvature of a first curved slice, which is adjacent to the compression plate, substantially corresponds to a shape of the contact surface of the compression plate,

a curvature of a second curved slice, which is adjacent to the detector, substantially corresponds to a shape of the contact surface of the detector, and

a curvature of intermediate curved slices follows a regular transition between the curvature of the first curved slice and the curvature of the second curved slice.

14 . The method as claimed in claim 1 , further comprising:

constructing a first coordinate system (x n , y n , z n ) for the curved slices, wherein

coordinates (x n , y n ) in each case lie in a slice at a same n, and

the z n above an area (x n , y n ) specifies a position of points of the curved slice.

15 . The method as claimed in claim 1 , further comprising:

Constructing a first coordinate system (x n , y n , z n ) for the curved slices, wherein

coordinates (x n , y n ) in each case lie in a slice at a same n,

the z n above an area (x n , y n ) specifies a position of points of the curved slice, and

coordinates (x n , y n , z n ) are calculated via a specified function F.

16 . The method as claimed in claim 1 , further comprising:

constructing a first coordinate system (x n , y n , z n ) for the curved slices, wherein

coordinates (x n , y n ) in each case lie in a slice at a same n,

the z n above an area (x n , y n ) specifies a position of points of the curved slice, and

coordinates (x n , y n , z n ) are calculated from

a plurality of functions F n for individual slices,

a function dependent on n, or

a function dependent on z.

17 . The method as claimed in claim 4 , wherein the reconstructing of the slice images is based on a calculation of paths of X-rays penetrating the curved slices.

18 . The method as claimed in claim 1 , wherein a three-dimensional image of the breast in Cartesian coordinates is created as the resultant image.

19 . A mammography system comprising an apparatus configured to perform the method as claimed in claim 1 .

20 . An apparatus for generating a resultant image based on a tomosynthesis image dataset of a breast, which has been fixed to a detector by a compression plate, wherein a contact surface of at least one of the compression plate or the detector facing the breast has a concave curvature, and wherein the apparatus comprises:

a memory storing computer-executable instructions; and

at least one processor configured to execute the computer-executable instructions to cause the apparatus to

define curved slices between the compression plate and the detector, each curved slice having a shape that follows a curvature of the at least one of the compression plate or the detector or that represents a transition between the curvature of the compression plate and the curvature of the detector,

reconstruct slice images lying on the curved slices,

generate the resultant image as a slice stack of the slice images, and

output the resultant image.