  We present GRAPHIC, a new angular differential imaging (ADI) reduction
pipeline where all geometric image operations are based on Fourier transforms.
To achieve this goal the entire pipeline is parallelised making it possible to
reduce large amounts of observation data without the need to bin the data. The
specific rotation and shift algorithms based on Fourier transforms are
described and performance comparison with conventional interpolation algorithm
are given. Tests using fake companions injected in real science frames
demonstrate the significant gain obtained by using geometric operations based
on Fourier transforms compared to conventional interpolation. This also
translates in a better point spread function and speckle subtraction with
respect to conventional reduction pipelines, achieving detection limits
comparable to current best performing pipelines. Flux conservation of the
companions is also demonstrated. This pipeline is currently able to reduce
science data produced by VLT/NACO, Gemini/NICI, VLT/SPHERE, and Subaru/SCExAO.
