4D Epanechnikov Mixture Regression in LF Image Compression

With the emergence of light field imaging in recent years, the compression of its elementary image array (EIA) has become a significant problem. Our coding framework includes modeling and reconstruction. For the modeling, the covariance-matrix form of the 4D Epanechnikov kernel (4D EK) and its correlated statistics were deduced to obtain the 4-D Epanechnikov mixture models (4-D EMMs). A 4D Epanechnikov mixture regression (4D EMR) was proposed based on this 4D EK, and a 4D adaptive model selection (4D AMLS) algorithm was designed to realize the optimal modeling for a pseudo video sequence (PVS) of the extracted key-EIA. A linear function based reconstruction (LFBR) was proposed based on the correlation between adjacent elementary images (EIs). The decoded images realized a clear outline reconstruction and superior coding efficiency compared to high-efficiency video coding (HEVC) and JPEG 2000 below approximately 0.05 bpp. This work realized an unprecedented theoretical application by (1) proposing the 4D Epanechnikov kernel theory, (2) exploiting the 4D Epanechnikov mixture regression and its application in the modeling of the pseudo video sequence of light field images, (3) using 4D adaptive model selection for the optimal number of models, and (4) employing a linear function-based reconstruction according to the content similarity.