2019/09/17 by Haotian Li, Li, Haotian, He Qin +3
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.1909.07923
11 pages, 9 figures
arxiv created 2019/09/17 · openalex publication_date 2019/09/17 · arxiv updated 2019/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
John's differential equation and its canonical form, the ultrahyperbolic equation, plays important role in lightfield imaging. The equation describes a local constraint on the lightfield, that was first observed as a "dimensionality gap" in the frequency representation. Related to the ultrahyperbolic equation, Asgeirsson's theorems describe global properties. These indicate new, global, constraints on the lightfield. In order to help validate those theorems on real captured images, we introduce a coordinate system for the lightfield, which suits better the Asgeirsson theorems, and analyze behaviour in terms of the new coordinates.