Fully reversible image rotation by 1-d filtering

In this work, we propose a new image rotation algorithm. The main feature of our approach is the symmetric reversibil-ity, which means that when using the same algorithm for the converse operation, then the initial data is recovered exactly. To that purpose, we decompose the lattice conversion pro-cess into three successive shear operations. The translations along the shear directions are implemented by 1-D convolu-tions, with new appropriate fractional delay filters. Also, the method is fast and provides high-quality resampled images. Index Terms — Rotation, resampling, shears, interpola-tion, fractional delay filter