Patent ID: 8787646

Claim:
An imaging method, comprising the steps of: acquiring projection data of an object with an imaging apparatus comprising a detector which is offset from a center of rotation; matching at least one first projection from the projection data with at least one second projection from the projection data, wherein the at least one second projection is measured at an approximately opposing side of an acquisition trajectory from the at least one first projection; splicing estimated projection data derived from the projection data of the at least one second projection with projection data of the first projection to generate a full, non-truncated projection data set; differentiating the non-truncated projection data set with respect to the acquisition trajectory to generate differentiated projection data; applying a filter to the differentiated projection data to generate differentiated and filtered projection data; applying redundancy weighting to the differentiated and filtered projection data to generate differentiated, filtered and weighted projection data; and back-projecting the differentiated, filtered and weighted projection data to generate volumetric data indicative of the object; wherein the at least one second projection is selected in a region μ min ≦μ≦μ −0 with μ min =−μ max according to {tilde over (X)} 1 (α,ν,β)={tilde over (X)}(−α,ν,β+2α+π) for α(μ min )≦α≦α(μ −0 ); and wherein {tilde over (X)}(α,ν,β)=X(atan(μ/D),ν,λ/R), D is a distance from a source to the detector, R is a distance from the source to a rotation axis, a circular orbit is parameterized by a path length λεΛ=[0, 2πR), a detector ν-axis is parallel to the rotational axis, and a u-axis is parallel to a trajectory tangent vector.