Shear based Bijective Digital Rotation in Triangular Grids

In this paper we are proposing a way to perform bijective digital rotations on a triangular cell grid. The method is based on a decomposition of a rotation into shear transforms and on a way to transform the original triangle centroids in order to have a regular grid. The rotation method works for any angle and achieves an average distance between the digital rotated point and the continuous rotated point of about 0.5 (with 1.0 the side of a triangle and a distance between two neighboring triangle centroids of 0.57)