MedicalVisualization
Trilinear Interpolation
← 3D Texture Interpolation Nearest Neigbour | ● | 3D Texture Interpolation Trilinear →
For medical CT and MR volume data the function values (that is scalar density) μijk are given at the corner points Pijk of a voxel (rot).
Tri-linear interpolation creates a single interpolated value (blue) from 8 neighbouring scalar density values (red) by three subsequent linear interpolations along the three axis with respective normalized interpolation weights u,v and w.
Linear interpolation weights u,v,w∈[0,1]:
μ(u,v,w)=
(1−w)((1−v)((1−u)μ000+uμ100)+
v((1−u)μ010+uμ110))+
w((1−v)((1−u)μ001+uμ101)+
v((1−u)μ011+uμ111))
← 3D Texture Interpolation Nearest Neigbour | ● | 3D Texture Interpolation Trilinear →