Methods and apparatus for multi-slice image reconstruction

A method for generating an adaptively interpolated projection of an object with a scanning imaging system wherein the imaging system is operating in at least one of a high speed data acquisition mode and a high quality data acquisition mode, said method comprising:

• generating a first projection using a first interpolation kernel;
• generating a second projection using a second interpolation kernel, different from the first interpolation kernel, wherein the second interpolation kernel includes at least one of a Hanning interpolation, a line interpolation, and a high-order polynomial interpolation;
• taking a difference between the first projection and the second projection to generate a differential signal;
• filtering the differential signal using a low-pass filter using at least one of a one-dimensional filter, a two-dimensional filter, and a three-dimensional filter;
• mapping the filtered differential signal to a scaling function to generate an adaptively interpolated projection in accordance with:
• s ⁡ ( γ , β ) = { 0 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t low δ ⁢ ⁢ p ′ ⁡ ( γ , β ) - t low t high - t low , t ⁢ low < δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t high 1 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) > t high , [AutoRightMatch]
• where:
• δp′(γ,β) is the filtered differential signal;
• tlow is a selected threshold;
• and
• thigh is a selected threshold;
• generating an adaptively interpolated projection comprises generating an adaptively interpolated projection in accordance with:
• pi(γ,β)=[1−s(γ,β)]pi(γ,β)+s(γ,β)p2(γ,β)
• where:
• δp(γ,δ) is the scaling function;
• p1(γ,β) is the first projection generated with the first interpolation kernel;
• and
• p2(γ,β) is the second projection generated with the second interpolation kernel
• applying additional weights to the adaptively interpolated projection;
• and
• filtering and backprojecting the adaptively interpolated projection.

A computer to generate an adaptively interpolated projection of an object with a scanning imaging operable in at least one of a high speed data acquisition mode and a high quality data acquisition mode, said computer programmed to:

• generate a first projection using a first interpolation kernel;
• generate a second projection using a second interpolation kernel, different from the first interpolation kernel;
• and
• take a difference between the first projection and the second projection to generate a differential signal.

A computer to generate an adaptively interpolated projection of an object with a scanning imaging system wherein the imaging system is operating in at least one of a high speed data acquisition mode and a high quality data acquisition mode, said computer programmed to:

• generate a first projection using a first interpolation kernel;
• generate a second projection using a second interpolation kernel, different from the first interpolation kernel, wherein the second interpolation kernel includes at least one of a Hanning interpolation, a line interpolation, and a high-order polynomial interpolation;
• take a difference between the first projection and the second projection to generate a differential signal:
• δp(γ,β)=|p1(γ,β)−p2(γ,β)|,
• where:
• p1(γ,β) is the first projection generated with the first interpolation kernel;
• and
• p2(γ,β) is the second projection generated with the second interpolation kernel;
• filter the differential signal;
• map the filtered differential signal to a scaling function to generate an adaptively interpolated projection in accordance with:
• s ⁡ ( γ , β ) = { 0 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t low δ ⁢ ⁢ p ′ ⁡ ( γ , β ) - t low t high - t low , t ⁢ low < δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t high 1 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) > t high , [AutoRightMatch]
• where:
• δp′(δ,β) is the filtered differential signal;
• tlow is a selected threshold;
• and
• thigh is a selected threshold;
• generate an adaptively interpolated projection comprises generating an adaptively interpolated projection in accordance with:
• pi(γ,β)=[1−s(γ,β)]pi(γ,β)+s(γ,β)p2(γ,β)
• where:
• δp(γ,β) is the scaling function;
• p1(γ,β) is the first projection generated with the first interpolation kernel;
• and
• p2(γ,β) is the second projection generated with the second interpolation kernel
• apply additional weights to the adaptively interpolated projection;
• and
• filter and backproject the adaptively interpolated projection.

A computed tomographic (CT) imaging system for generating an adaptively interpolated projection of an object, said CT system comprising:

• a detector array;
• at least one radiation source;
• and
• a computer coupled to said detector array and said radiation source, said computer configured to:
• generate a first projection using a first interpolation kernel;
• generate a second projection using a second interpolation kernel, different from the first interpolation kernel;
• take a difference between the first projection and the second projection to generate a differential signal;
• filter the differential signal using a low-pass filter;
• and
• map the filtered differential signal to a scaling function to generate an adaptively interpolated projection.

A computed tomographic (CT) imaging system for generating an adaptively interpolated projection of an object wherein said CT system is operating in at least one of a high speed data acquisition mode and a high quality data acquisition mode, said CT system comprising:

• a detector array;
• at least one radiation source;
• and
• a computer coupled to said detector array and said radiation source, said computer configured to:
• generate a first projection using a first interpolation kernel;
• generate a second projection using a second interpolation kernel, different from the first interpolation kernel using at least one of a Hanning interpolation, a line interpolation, and a high-order polynomial interpolation;
• take a difference between the first projection and the second projection to generate a differential signal;
• filter the differential signal using at least one of a one-dimensional filter, a two-dimensional filter, and a three-dimensional filter;
• map the filtered differential signal to a scaling function to generate an adaptively interpolated projection in accordance with:
• s ⁡ ( γ , β ) = { 0 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t low δ ⁢ ⁢ p ′ ⁡ ( γ , β ) - t low t high - t low , t ⁢ low < δ ⁢ ⁢ p ′ ⁡ ( γ , β ) ≤ t high 1 , δ ⁢ ⁢ p ′ ⁡ ( γ , β ) > t high , [AutoRightMatch]
• where:
• δp′(γ,β) is the filtered differential signal;
• tlow is a selected threshold;
• and
• thigh is a selected threshold;
• generate an adaptively interpolated projection comprises generating an adaptively interpolated projection in accordance with:
• pi(γ,β)=[1−s(γ,β)]pi(γ,β)+s(γ,β)p2(γ,β)
• where:
• δp(γ,β) is the scaling function;
• p1(γ,β) is the first projection generated with the first interpolation kernel;
• and
• p2(γ,β) is the second projection generated with the second interpolation kernel;
• apply additional weights to the adaptively interpolated projection;
• and
• filter and backproject the adaptively interpolated projection.