Abstract: An image reconstruction method applicable to a number of different imaging modalities including magnetic resonance imaging (MRI), x-ray computed tomography (CT), positron emission tomography (PET), and single photon emission computed tomography (SPECT) is disclosed. A sparsifying image is reconstructed from a series of acquired undersampled data to provide a priori knowledge of a subject being imaged. An iterative reconstruction process is further employed to iteratively determine a correction image for a given image frame that, when subtracted from the sparsifying image, produces a quality image for the image frame.

Abstract: A method for reconstructing a high quality image from undersampled image data is provided. The image reconstruction method is applicable to a number of different imaging modalities. Specifically, the present invention provides an image reconstruction method that incorporates an appropriate prior image into the image reconstruction process. Thus, one aspect of the present invention is to provide an image reconstruction method that requires less number of data samples to reconstruct an accurate reconstruction of a desired image than previous methods, such as, compressed sensing. Another aspect of the invention is to provide an image reconstruction method that produces a time series of desired images indicative of a higher temporal resolution than is ordinarily achievable with the imaging system. For example, cardiac phase images can be produced with high temporal resolution (e.g., 20 milliseconds) using a CT imaging system with a slow gantry rotation speed.

Abstract: A method for reconstructing a high quality image from undersampled image data is provided. The image reconstruction method is applicable to a number of different imaging modalities. Specifically, the present invention provides an image reconstruction method that incorporates an appropriate prior image into the image reconstruction process. Thus, one aspect of the present invention is to provide an image reconstruction method that requires less number of data samples to reconstruct an accurate reconstruction of a desired image than previous methods, such as, compressed sensing. Another aspect of the invention is to provide an image reconstruction method that imparts the signal-to-noise ratio of a prior image to the desired image being reconstructed. Another aspect of the invention is to provide an image reconstruction method that, when practiced in the field of x-ray imaging, allows for exposing a subject to substantially less radiation dose than is required in conventional x-ray imaging techniques.

Abstract: A line scan cone beam CT imaging system irradiates an object with an x-ray cone beam for multiple views. A projection data set of the object is acquired at each view. Between views, the cone beam and detector array are translated along parallel lines in opposite directions. An image is generated by converting the cone beam projection data set of the real object into a parallel-beam projection data set corresponding to a virtual object and using a total variation minimization image reconstruction algorithm to reconstruct a virtual image of the virtual object. The reconstruction algorithm includes the constraint that the Fourier transform of the reconstructed virtual image matches the known Fourier coefficients in the set of converted parallel-beam projections of the virtual object. The constructed virtual image is then transformed into an image of the real object.

Abstract: An x-ray system for use with image-guided medical procedures is programmed to move in any of a plurality of stored scan paths to acquire cone beam attenuation data from which a three-dimensional image is reconstructed. The x-ray system is programmed to move in any of the plurality of different scan paths that enable sufficient cone-beam data to be acquired.

Abstract: A system and method for generating an image of an object that is substantially free of artifacts induced by missing data is disclosed. The method includes performing a computed tomography (CT) imaging process using a cone-beam traversed over an actual scan path to acquire actual CT data having missing data. The method also includes reconstructing an initial image of a volume of interest (VOI) using the actual CT data, with the initial reconstructed image having artifacts attributable to the missing data, and reprojecting the reconstructed image of the VOI onto a virtual scan path to at least acquire virtual data corresponding to the missing data. Further, the method includes reconstructing an improved image of the VOI using the actual CT data and the virtual data, with the artifacts reduced in the improved reconstructed image.

Abstract: A data consistency condition is derived for an array of attenuation values acquired with a divergent beam. Using this data consistency condition, estimates of selected attenuation values can be calculated from the other attenuation values acquired during the scan. Such estimates may be used to replace corrupted data in the acquired data set, or attenuation values may be added to the acquired data set to increase in-plane resolution of a reconstructed image.

Abstract: A tomographic image reconstruction method produces either 2D or 3D images from fan beam or cone beam projection data by filtering the backprojection image of differentiated projection data. The reconstruction is mathematically exact if sufficient projection data is acquired. A cone beam embodiment and both a symmetric and asymmetric fan beam embodiment are described.

Abstract: An x-ray system for use with image-guided medical procedures is programmed to move in a first scan path to acquire cone beam attenuation data from which a three-dimensional digital subtraction angiogram of selected vasculature is reconstructed. The x-ray system is also programmed to move in a second scan path to acquire a series of tomosynthesis images during the inflow of a contrast agent into the selected vasculature. Parametric images are produced from information in the tomosynthesis images which indicate blood perfusion physiology of the tissues served by the vasculature.

Abstract: The resolution of an image produced by a CT imaging system is increased by employing an image reconstruction method that takes advantage of the redundant attenuation measurements made during a typical scan. An initial image is reconstructed with a filtered backprojection technique using the projection views acquired during the scan. Further images of higher resolution are produced by an iterative process in which the reconstructed image is reprojected, combined with originally acquired projection data, and backprojected again at the higher resolution.

Abstract: A generalized projection-slice theorem for divergent beam projections is disclosed. The theorem results in a method for processing the Fourier transform of the divergent beam projections at each view acquired by a CT system to the Fourier transform of the object function. Using this method, an inverse Fourier transform may be used to reconstruct tomographic images from the acquired divergent beam projections.

Abstract: An image reconstruction method for cone beam x-ray attenuation data acquired over a super-short-scan, short-scan or full-scan includes backproejcting over three adjacent segments of the arc traversed by the x-ray source. Each backprojection consists of a weighted combination of 1D Hilbert filtering of the modified cone-beam data along both horizontal and non-horizontal directions.

Abstract: A data consistency condition is derived for an array of attenuation values acquired with a divergent beam. Using this data consistency condition, estimates of selected attenuation values can be calculated from the other attenuation values acquired during the scan. Such estimates may be used to replace corrupted data in the acquired data set, or attenuation values may be added to the acquired data set to increase in-plane resolution of a reconstructed image.

Abstract: An image reconstruction method for cone beam x-ray attenuation data acquired over a super-short-scan, short-scan or full-scan includes backproejcting over three adjacent segments of the arc traversed by the x-ray source. Each backprojection consists of a weighted combination of ID Hilbert filtering of the modified cone-beam data along both horizontal and non-horizontal directions.

Abstract: A tomographic image reconstruction method produces either 2D or 3D images from fan beam or cone beam projection data by filtering the backprojection image of differentiated projection data. The reconstruction is mathematically exact if sufficient projection data is acquired. A cone beam embodiment and both a symmetric and asymmetric fan beam embodiment are described.

Abstract: A data consistency condition is derived for an array of attenuation values acquired with a fan-beam x-ray CT system. Using this data consistency condition, estimates of selected attenuation values can be calculated from the other attenuation values acquired during the scan. Such estimates reduce artifacts caused truncated data and by loss of data due to x-ray absorption.

Abstract: A data consistency condition is derived for an array of attenuation values acquired with a fan-beam x-ray CT system. Using this data consistency condition, estimates of selected attenuation values can be calculated from the other attenuation values acquired during the scan. Such estimates reduce artifacts caused truncated data and by loss of data due to x-ray absorption.

Abstract: A new image reconstruction method is described for CT systems. Reconstruction formulas for general application to any CT system geometry are derived and more specific formulas for two third generation CT system geometries are described. A preferred embodiment of a CT system which employs one of the specific formulas is described.

Abstract: An x-ray system for use with image-guided medical procedures is programmed to move in a first scan path to acquire cone beam attenuation data from which a three-dimensional digital subtraction angiogram of selected vasculature is reconstructed. The x-ray system is also programmed to move in a second scan path to acquire a series of tomosynthesis images during the inflow of a contrast agent into the selected vasculature. Parametric images are produced from information in the tomosynthesis images which indicate blood perfusion physiology of the tissues served by the vasculature.

Abstract: A new image reconstruction method is described for CT systems. Reconstruction formulas for general application to any CT system geometry are derived and more specific formulas for two third generation CT system geometries are described. A preferred embodiment of a CT system which employs one of the specific formulas is described.