Orthogonal Directional Transforms using Discrete Directional Laplacian Eigen Solutions for Beyond HEVC Intra Coding.

We introduce new transforms for efficient compression of image blocks with directional preferences. Each transform, which is an orthogonal basis for a specific direction, is constructed from an eigen-decomposition of a discrete directional Laplacian system matrix. The method is a natural extension of the DCT, expressing the Laplacian in Cartesian coordinates rotated to some predetermined angles.