2019/07/02 by Todor Georgiev, Georgiev, Todor, He Qin +3 · 1 citation
Computer Science · Engineering · #Advanced Vision and Imaging #FOS: Electrical engineering #Image Processing Techniques and Applications #Image and Video Processing (eess.IV) #Optical measurement and interference techniques #eess.IV #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1907.01186
18 pages, 15 figures
arxiv created 2019/07/02 · openalex publication_date 2019/07/02 · arxiv updated 2019/07/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper explores possibilities for new uses of the Radon transform for imaging and analysis of lightfields. We show that the previously reported Dimansionality Gap can be derived from an ultrahyperbolic PDE, first proposed by F. John, which is satisfied by lightfields. Based on inverse John transform we demonstrate rigorous Focal Stack rendering and viewing from arbitrary angles. Based on Asgeirsson's theorems for the ultrahyperbolic PDE we derive new kernels for processing lightfields. Our kernels provide alternative methods for depth computation and other image processing in lightfields.