The radon image as plenoptic function

We introduce a novel plenoptic function that can be directly captured or generated after the fact in plenoptic cameras. Whereas previous approaches represent the plenoptic function over a 4D ray space (as radiance or light field), we introduce the representation of the plenoptic function over a 3D plane space. Our approach uses the Radon plenoptic function instead of the traditional 4D plenoptic function to achieve 3D representation - which promises reduced size, making it suitable for use in mobile devices. Moreover, we show that the original 3D luminous density of the scene can be recovered via the inverse Radon transform. Finally, we demonstrate how various 3D views and differently-focused pictures can be rendered directly from this new representation.