Patent ID: 8116426

Claim:
A computed-tomography method, comprising: determining a channel position located on an x-ray detector using a linear path from an x-ray source through a backprojection pixel; determining an interpolation kernel width using a distance from said source to said backprojection pixel; determining a radius P of said pixel having a circular shape with a center at position x i,j , y i,j as P = F ⁢ ⁢ O ⁢ ⁢ V 2 · ⁢ MATRIX where FOV is a reconstruction field of view and MATRIX is a reconstructed image matrix size; determining a floating point channel position Ch i,j as: Ch i , j , k = 1 Δγ ⁢ tan - 1 ⁡ [ x i , j ⁢ cos ⁢ ⁢ β k + y i , j ⁢ sin ⁢ ⁢ β k R + x i , j ⁢ sin ⁢ ⁢ β k - y i , j ⁢ cos ⁢ ⁢ β k ] where Δγ is an angular channel width, β k is a view angle at view k, and R is a distance from said x-ray source to isocenter distance; and determining said kernel width ΔCh i,j as: Δ ⁢ ⁢ Ch i , j , k = 2 ⁢ ⁢ P Δ ⁢ ⁢ γ · L i , j , k where L i , j , k ⁡ ( x i , j , y i , j , β k ) = ( R ⁢ ⁢ sin ⁢ ⁢ β k + x i , j ) 2 + ( R ⁢ ⁢ cos ⁢ ⁢ β k - y i , j ) 2 .