On the Use of Graph Fourier Transform for Light-Field Compression

Abstract

This work proposes the use and analyzes the viability of graph Fourier transform (GFT) for light-field compression. GFT is employed in place of discrete-cosine transform (DCT) in a simplified compression system based on high-efficiency video coding (HEVC). The effect on GFT efficiency of different implementations for prediction procedure is analyzed, as well as different methods for computing GFT given residual images. Results indicate that the prediction scheme is sensitive to the type of light field being compressed, and a preliminary method for selecting the best prediction scheme is explored. Moreover, considering multiple residual images when computing GFT, instead of only one central image, improves compression rate and makes compression more uniform across multiple views. GFT achieves reduction of up to 21.92% in number of transform coefficients when compared to DCT-based compression, while providing better or equal mean squared reconstruction error.