Reconstructing a tomographic image with reduced artifacts

Method of reconstructing a tomographic image of a region of investigation with reduced artifacts, the method comprising:

• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order N,
• the projection lines in each of the first projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• =
• cos
• ⁢
• (
• j
• +
• 1
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, 2, . . . N/2−1, and
• the projection lines in each of the second projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• +
• 1
• =
• cos
• ⁢
• (
• j
• +
• 3
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, . . . N/2−1.

Imaging device for imaging a region of investigation in an object, the imaging device comprising:

• a measuring device being adapted for directing a plurality of energy input beams at predetermined projection directions through the region of investigation, and for determining projection data measured with the plurality of energy input beams, and
• a reconstruction circuit, connected with the measuring device, for reconstructing an image function, wherein the reconstruction circuit is configured to reconstruct a tomographic image of the region of investigation with reduced artifacts by:
• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [N−1],
• the projection lines in each of the first projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [(N/2)−1], and
• the projection lines in each of the second projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order [N/2].

Computer program residing on at least one non-transitory computer-readable medium, comprising computer-executable instructions for performing a method for reconstructing a tomographic image of a region of investigation with reduced artifacts, the method comprising:

• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [N−1],
• the projection lines in each of the first projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [(N/2)−1], and
• the projection lines in each of the second projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order [N/2].

Apparatus comprising at least one non-transitory computer-readable storage medium, comprising computer-executable instructions for performing a method for reconstructing a tomographic image of a region of investigation with reduced artifacts, the method comprising:

• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [N−1],
• the projection lines in each of the first projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the second kind of order [(N/2)−1], and
• the projection lines in each of the second projection profiles are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order [N/2].

Imaging device for imaging a region of investigation in an object, the imaging device comprising:

• a measuring device being adapted for directing a plurality of energy input beams at predetermined projection directions through the region of investigation, and for determining projection data measured with the plurality of energy input beams, and
• a reconstruction circuit, connected with the measuring device, for reconstructing an image function, wherein the reconstruction circuit is configured to reconstruct a tomographic image of the region of investigation with reduced artifacts by:
• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order N,
• the projection lines in each of the first projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• =
• cos
• ⁢
• (
• j
• +
• 1
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, 2, . . . N/2−1, and
• the projection lines in each of the second projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• +
• 1
• =
• cos
• ⁢
• (
• j
• +
• 3
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, . . . N/2−1;
• and wherein the reconstruction circuit is connected with the measuring device.

At least one non-transitory computer-readable medium, comprising computer-executable instructions for performing a method for reconstructing a tomographic image of a region of investigation with reduced artifacts, the method comprising:

• (a) reconstructing a first partial image and a second partial image of the region of investigation from first and second projection profiles each of which including projection data collected at first and second different groups of parallel projection lines, respectively, wherein the first and second projection profiles are provided such that streak aliasing artifacts in the first and second partial images have different spatial phases, and
• (b) generating the tomographic image of the region of investigation by superimposing the first and second partial images, wherein:
• the projection lines represent a scanning geometry such that parallel projection lines are distributed corresponding to zeros of Tschebycheff polynomials of the first kind of order N,
• the projection lines in each of the first projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• =
• cos
• ⁢
• (
• j
• +
• 1
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, 2, . . . N/2−1, and
• the projection lines in each of the second projection profiles are distributed corresponding to
• t
• 2
• ⁢
• j
• +
• 1
• =
• cos
• ⁢
• (
• j
• +
• 3
• /
• 4
• )
• ⁢
• π
• N
• /
• 2
• ,
• j=0, . . . N/2−1.