A Novel Framework for Designing Directional Linear Transforms with Application to Video Compression

Transforms incorporating directional information are appealing in a wide range of applications. In this paper, we introduce a new framework that allows to define a directional transform starting from any two-dimensional separable transform. The proposed method is highly general and it can be of interest in many areas of signal processing. We also show an example of possible application. We define a directional integer DCT and DST and we show their application in video compression by integrating them in the HEVC video coding standard.