Abstract: Systems, methods and devices are provided for fitting kinetic models to measurements of dynamic curves where the kinetic models give rise to nonlinear fitting equations in two or more unknowns that can be formulated so that they are linear in one or more of the unknown parameters and nonlinear in one or more of the unknown parameters. Such systems, methods and devices may be utilized to monitor and characterize the attributes of a given tracer such as a radioactive substance within a body, a drug within the body, a concentration of a substance within a particular medium, and the like.

Abstract: Systems, methods and devices are provided for fitting kinetic models to measurements of dynamic curves where the kinetic models give rise to nonlinear fitting equations in two or more unknowns that can be formulated so that they are linear in one or more of the unknown parameters and nonlinear in one or more of the unknown parameters. Such systems, methods and devices may be utilized to monitor and characterize the attributes of a given tracer such as a radioactive substance within a body, a drug within the body, a concentration of a substance within a particular medium, and the like.

Abstract: Disclosed herein are embodiments of a rotate-and-slant projector that takes advantage of symmetries in the geometry to compute truly volumetric projections to multiple oblique sinograms in a computationally efficient manner. It is based upon the 2D rotation-based projector using the fast three-pass method of shears, and it conserves the 2D rotator computations for multiple projections to each oblique sinogram set. The projector is equally applicable to both conventional evenly-spaced projections and unevenly-spaced line-of-response (LOR) data (where the arc correction is modeled within the projector). The LOR-based version models the exact location of the direct and oblique LORs, and provides an ordinary Poisson reconstruction framework. Speed optimizations of various embodiments of the projector include advantageously utilizing data symmetries such as the vertical symmetry of the oblique projection process, a coarse-depth compression, and array indexing schemes which maximize serial memory access.

Abstract: Disclosed herein are embodiments of a rotate-and-slant projector that takes advantage of symmetries in the geometry to compute truly volumetric projections to multiple oblique sinograms in a computationally efficient manner. It is based upon the 2D rotation-based projector using the fast three-pass method of shears, and it conserves the 2D rotator computations for multiple projections to each oblique sinogram set. The projector is equally applicable to both conventional evenly-spaced projections and unevenly-spaced line-of-response (LOR) data (where the arc correction is modeled within the projector). The LOR-based version models the exact location of the direct and oblique LORs, and provides an ordinary Poisson reconstruction framework. Speed optimizations of various embodiments of the projector include advantageously utilizing data symmetries such as the vertical symmetry of the oblique projection process, a coarse-depth compression, and array indexing schemes which maximize serial memory access.

Abstract: Disclosed herein are embodiments of a rotate-and-slant projector that takes advantage of symmetries in the geometry to compute truly volumetric projections to multiple oblique sinograms in a computationally efficient manner. It is based upon the 2D rotation-based projector using the fast three-pass method of shears, and it conserves the 2D rotator computations for multiple projections to each oblique sinogram set. The projector is equally applicable to both conventional evenly-spaced projections and unevenly-spaced line-of-response (LOR) data (where the arc correction is modeled within the projector). The LOR-based version models the exact location of the direct and oblique LORs, and provides an ordinary Poisson reconstruction framework. Speed optimizations of various embodiments of the projector include advantageously utilizing data symmetries such as the vertical symmetry of the oblique projection process, a coarse-depth compression, and array indexing schemes which maximize serial memory access.

Abstract: Methods are provided for recovering component signals or estimates of component signals from combined signals of multiple tracers in the context of imaging multiple PET tracers, a single tracer injected repeatedly, or a combination of tracers using multiple-timepoint or dynamic scanning, where the tracer administrations are simultaneous or staggered in time such that some or all of the PET timeframes, images, data, and/or datasets contain overlapping signals from more than one of the tracer administrations.

Abstract: Methods are provided for recovering component signals or estimates of component signals from combined signals of multiple tracers in the context of imaging multiple PET tracers, a single tracer injected repeatedly, or a combination of tracers using multiple-timepoint or dynamic scanning, where the tracer administrations are simultaneous or staggered in time such that some or all of the PET timeframes, images, data, and/or datasets contain overlapping signals from more than one of the tracer administrations.

Abstract: Disclosed herein are embodiments of a rotate-and-slant projector that takes advantage of symmetries in the geometry to compute truly volumetric projections to multiple oblique sinograms in a computationally efficient manner. It is based upon the 2D rotation-based projector using the fast three-pass method of shears, and it conserves the 2D rotator computations for multiple projections to each oblique sinogram set. The projector is equally applicable to both conventional evenly-spaced projections and unevenly-spaced line-of-response (LOR) data (where the arc correction is modeled within the projector). The LOR-based version models the exact location of the direct and oblique LORs, and provides an ordinary Poisson reconstruction framework. Speed optimizations of various embodiments of the projector include advantageously utilizing data symmetries such as the vertical symmetry of the oblique projection process, a coarse-depth compression, and array indexing schemes which maximize serial memory access.