with reference to fig1 and 3 , a ct imaging system 10 includes an x - ray source 12 oriented to project a cone beam of x - rays 14 from a focal spot 16 through a patient 18 to be received by a two - dimensional detector array 20 . the two - dimensional detector array 20 includes a number of detector elements 22 arranged over the area of the detector array 20 in generally perpendicular columns and rows to detect a projected image of the x - rays 14 passing through the patient 18 . the x - ray source 12 and the two - dimensional detector array 20 are mounted on either side of a gantry 24 so as to rotate about an axis of rotation 26 generally positioned within the patient 18 . the axis of rotation 26 forms the z - axis of a cartesian coordinate system having its origin centered within the cone beam 14 . the plane defined by the x and y axes of this coordinate system thus defines a plane of rotation , specifically the gantry plane 28 of the gantry 24 . rotation of the gantry 24 is measured by angle β from an arbitrary reference position within the gantry plane 28 . angle β varies between 0 and 2 π radians ( 360 °). the x - rays of the cone beam 14 diverge from the gantry plane 28 by angle φ and diverge along the gantry plane 28 by angle φ . the two - dimensional detector array 20 is arranged as a section of the surface of a sphere having a center at the focal spot 16 , and its array of detector elements 22 is arranged to receive and make intensity measurements along the rays of the cone beam 14 throughout the angles of φ and θ of the cone beam 14 . the detector array 20 is comprised of a 2d array of detector elements 22 arranged in rows which extend along an in - slice dimension . each row may include , for example , 1 , 000 separate detector elements , and the array 20 may include 16 rows disposed along the slice dimension . the detectors 22 may be gas or , solid state detectors which produce an electrical signal proportional to the x - ray flux received over the sample period . referring to fig3 the control subsystem of the ct imaging system 10 has gantry associated control modules 30 which include : x - ray controller 32 , which provides power and timing signals to the x - ray source 12 , gantry motor controller 34 , which controls the rotational speed and position of the gantry 24 . a data acquisition system ( das ) 36 receives projection data from the two - dimensional detector array 20 and converts the data into digital form for later computer processing , while preserving the values of φ , θ , and the gantry angle β at which the data was taken . the x - ray controller 32 , the gantry motor controller 34 and the data acquisition system 36 are connected to computer 38 . the computer 38 also governs operation of a table motor control 37 which drives a motor that moves the patient table 39 along the z - axis 26 . the computer 38 is a general purpose minicomputer programmed to acquire and manipulate projection data as will be described in detail below . the computer 38 is connected to an image reconstructor 40 which performs high speed image reconstruction according to methods known in the art . the computer 38 receives commands and scanning parameters via operator console 42 which is generally a crt display and keyboard that enables an operator to enter parameters for the ct scan and to display the reconstructed image . a mass storage device 44 provides a means for storing operating programs . during data acquisition , the ct imaging system 10 functions as a conventional cone - beam system in gathering data . specifically , the table 39 is held stationary as the x - ray emitter 12 and detector array 20 make a complete revolution around the gantry 24 about the axis of rotation 26 . at each of a plurality of angular positions β , the attenuation data from all the detectors 22 in array 20 are stored in the mass memory 44 . upon completion of a full rotation , the computer commands the table motor control 37 to advance the table 39 to another position along the z - axis 26 and another rotational scan of the patient 18 is preformed . this process is repeated until the desired portion of the patient 18 has been fully scanned . then image reconstruction commences . the essence of the present invention in the reconstruction of a plurality of sub - images each representing a wedge of the circular slice image . each sub - image is produced using a half - scan reconstruction technique at a different center - view angle β 0 spaced around a full 2π radian rotation . each sub - image comprises a wedge portion of the half - scan reconstructed image that contains the least amount of artifacts . the details of the present invention will be explained using an exemplary procedure that employs three sub - images produced at center - view angles of π / 3 radians , π radians , and 5π / 3 radians . however , a greater number of sub - images can be utilized with commensurately smaller intervals between the center - view angles . for example , four sub - images having π / 2 radian wedges could be produced utilizing four center - view angles b 0 of 0 , π / 2 , π , and 3π / 2 radians . the artifact reduction improves as the number of sub - images wedges increases , however , that also increases the amount of computation time to reconstruct the full slice image . the separate sub - images then are patched together to form the full slice image representing a cross section through the patient . with reference to fig4 a first half - scan reconstruction is performed at the center - view angle β 0 = π / 3 radians . the projection data stored in mass storage 44 is weighted by the following function prior to filtering and application of the three - dimensional back - projection algorithm : θ n  ( γ , β , β o ) = { β - β o + π / 2 + γ m 2  γ m - 2  γ  β o - π / 2 - γ m ≤ β & lt ; β o - π / 2 + γ m - 2  γ 1 , β o - π / 2 + γ m - 2  γ ≤ β & lt ; β o + π / 2 - γ m - 2  γ β o + π / 2 + γ m - β 2  γ m + 2  γ  β o + π / 2 - γ m - 2  γ ≤ β & lt ; β o + π / 2 + γ m 0 ,  otherwise   w n  ( γ , β , β o ) = 3  θ n 2  ( γ , β , β o ) - 2  θ n 3  ( γ , β , β o ) where n is the detector row index ( see fig2 ), β o is the center - view angle of a half scan reconstruction , y is the angle between a given detector ray and the iso - ray 27 ( a line from the x - ray focal spot 16 to the detector array 20 which passes through the axis of rotation 26 , see fig3 ), and β is the projection angle . the weighting of the projection data accounts for the greater likelihood of artifacts occurring the farther the data point is from the center - view angle . it will be understood that when other numbers of sub - images are employed , other weighting functions may be utilized . for example , helical interpolation or helical extrapolation algorithms developed for single slice ct can be utilized as weighting functions . the weighted projection data is then filtered along the γ direction as is commonly done for single slice scans or for the feldkamp reconstruction for a cone beam . a three - dimension backprojection technique for a cone beam then is applied to the filtered projection data to create a first sub - image 60 depicted in fig4 . the first sub - image 60 has an approximately 2π / 3 radian wedge shaped first primary segment 62 opposite the center - view angle and centered on the axis 63 of that view angle which passes through the iso - center , i . e . the center of the wedge is at angle β 0 + π . the first primary segment 62 has a relatively minimal amount of artifacts and thus contains voxels which have not been attenuated by the weighting function . the image elements , or voxels , in smaller wedge shaped segments 64 on each side of the first primary segment 62 are attenuated by amounts that increase with increase in the angular distance from that first primary segment . thus the image intensity in these smaller wedge segments 64 gradually decreases . the voxels in the remainder of the sub - image ( the non - crosshatched portion 66 ) have been assigned a zero value by the weighting function . there are two approaches which can be employed to produce the wedge shaped sub - image . the first is to use a conventional three - dimension backprojection technique to produce a full image representing the entire 2π slice region . then another weighting function , depicted in fig8 is applied to the full reconstructed image to suppress information that does not fall within the desired of the sub - image region . the weight applied to a given voxel is a function of the voxel &# 39 ; s angular position in the image . the weighting function is centered opposite to the center - view angle , at angle β 0 + π . a weight of one is applied to the voxels in the primary segment 62 and the weight decreases in the smaller border wedge segments 64 the farther the voxel is from the primary segment 62 . a weight of zero is applied to voxels that are in region 66 in the full image . the second approach produces a sub - image directly in the backprojection process . here the backprojection is preformed only in a 2 / 3 π region corresponding to the sub - image area . although this results in a more complex backprojection process , it could result in less computation as region 66 is not backprojected . next , this novel half - scan back projection process is applied a second time to the projection data using a center - view angle β 0 of π . the projection data is weighted , filtered and a second sub - image is reconstructed using the half - scan algorithm . the second sub - image 67 , shown in fig5 has a second primary segment 68 which has a wedge shape of approximately 2π / 3 radians opposite to the center - view angle and centered on the axis 65 of that view angle . the image intensity of the voxels in the second primary segment has not been attenuated by the weighting function . the second primary segment 68 is flanked by a pair of smaller wedge shaped segments 69 in which the image intensity gradually decreases going away from the second primary segment . the half - scan back projection process is applied a third time to the stored projection data to produce a third sub - image 70 shown in fig6 that is reconstructed at a center - view angle b 0 = 5π / 3 . the third sub - image 72 has a third primary segment 72 which is a 2π / 3 radian wedge centered on the axis 73 of and opposite to the center - view angle . the image intensity of the voxels in the third primary segment has not been attenuated by the weighting function . the third primary segment 72 is flanked by a pair of smaller wedge shaped segments 71 in which the image intensity gradually decreases going away from the third primary segment . the weighting functions for the three sub - images have the property that the summation of the three functions is unity within the reconstruction region of interest . once all three sub - images 60 , 67 and 70 have been formed , the computer combines them to form the final full slice image 74 depicted in fig7 . in essence the three sub - images are superimposed over each other . because of the manner in which the data was weighted , the result is as thought the primary segments 62 , 68 and 72 were cropped and placed adjacent one another into the final full slice image . the superimposition overlays the smaller wedge segments 64 , 69 and 71 which feathers the transition between the primary segments 62 , 68 and 72 . it should be understood that the quality of each reconstructed sub - image is best at a location that corresponds to the iso - ray of the center - view . image quality degrades gradually from that center line . therefore , image quality will improve by using greater numbers of sub - images , each having a smaller wedge angle . for example , the image quality of the resultant image produced by five sub - images will be greater than that produced by three sub - images . however , this involves a trade - off between image quality and computation time . the foregoing description was primarily directed to a preferred embodiment of the invention . although some attention was given to various alternatives within the scope of the invention , it is anticipated that one skilled in the art will likely realize additional alternatives that are now apparent from disclosure of embodiments of the invention . for example , instead of the half scan weights , helical weighting functions can be used to produce sub - images . in addition , the above scheme can be applied only to the image slices near the outer rows of the detector . for the regions that are close to the detector center plane , simple row interpolation can be used . accordingly , the scope of the invention should be determined from the following claims and not limited by the above disclosure .
a computed tomography imaging system includes a source of a conical beam of radiation and a two - dimensional detector array arranged on opposite sides of an axis of rotation . projection data is acquired in a conventional manner as the source and detector array make a full rotation about an object . a conventional half - scan image reconstruction algorithm is applied to the projection data at a plurality of different center - view angles to produce a plurality of sub - images . image segments , which are centered in each sub - image along the axis of the respective center - view angle , are selected and combined to form a cross - sectional image of the object . the regions of each sub - image preferably are defined by a weighting function .