A fast hologram calculation approach is proposed to reduce computational load by avoiding the recalculation of the redundancy information. In the proposed method, the hologram is divided into several sub-holograms which record and reconstruct different views of 3D objects. The sub-hologram is generated from its adjacent calculated sub-hologram by only adding the holograms of difference images between an adjacent pair of views. This repetitive information of two adjacent views is called angular redundancy, avoiding the recalculation of which can considerably reduce the computational load. Experiment results confirm that the proposed method can reduce the computational time down to 4.73% (Statue head), 6.67% (Bunnies) and 10.4% (Car) for uniform intensity, and 56.34% (Statue head), 57.9% (Bunnies) and 66.24% (Car) for 256 levels intensity respectively compared to conventional methods.