Patent ID: 7486406

Claim:
A method for performing variable tomographic scanning in 3D space, comprising the steps of: calculating wave distributions in a variable tilted plane by employing the Rayleigh-Sommerfeld diffraction integral as: E ⁡ ( x o , y o , z o ) = ⁢ ⅈ ⁢ ⁢ E 0 λ ⁢ ∫ ∫ o ⁡ ( x , y ) ⁢ exp ⁡ [ ⅈ ⁢ ⁢ kr ⁡ ( x , y , x o , y o ) ] r ⁡ ( x , y , x o , y o ) ⨯ ⁢ χ ⁡ ( x , y , x o , y o ) ⁢ ⅆ x ⁢ ⅆ y ( 3 ) where k is the wave number given by k =2π/λ, E0is a constant and χ(x,y,xo,yo) is the inclination factor and replacing inverse length 1/r by 1/ro; vertically placing a hologram (x-y plane) in the z =0 plane; tilting the reconstruction plane xo-yo with its normal direction randomly oriented in space and its origin located at z =zp; defining frame xo-yo-zo as a first frame A; introducing a new plane x′-y′ parallel to the hologram plane but sharing the same origin as the xo-yo plane, thereby defining a second frame B; transferring any point [xo, yo, zo] on the xo-yo plane of first frame A to said second frame B as: [x′, y′, z′] T = B A R ·[x o , y o , z o ] T , (4) where the superscript T represents the vector transpose; setting z0 to zero for all the points on the xo-yo plane because the plane is vertical to the z0 axis and it passes through the origin of Frame A; and taking the transform matrix B A R of Frame A relative to Frame B; A B ⁢ R = [ t 11 t 12 t 13 t 21 t 22 t 23 t 31 t 32 t 33 ] .