A Fourier Disparity Layer representation for Light Fields

31st May 2019
A Fourier Disparity Layer representation for Light Fields


The Fourier Disparity Layer (FDL) model, is a representation of Light Fields allowing efficient processing by fully exploiting the parallelisation capabilities of modern GPUs.

In the FDL representation, the scene is decomposed into a set of additive layers and each layer of index k is associated to a disparity value dk representing its depth. Any view of the light field at angular coordinate (u,v) is directly reconstructed as the sum of the layers shifted with a translation vector (u.dk, v.dk).



The construction of layers from light field views is performed efficiently in the Fourier Domain thanks to a linear least squares optimisation problem formulated independently for each frequency component (efficiently solved with parallel processing on a GPU). This is made possible by the fact that in the Fourier domain, the shifting operation simply consists in multiplying each frequency component by a complex weight, hence resulting in a linear relationship between views and layers.


  • The paper [1], presents the theoretical foundations of the model and various applications including calibration of angular coordintates and disparity values, view interpolation, denoising, real-time rendering (see demo video below).
  • Extensions of the FDL construction for light field super-resolution, demosaicing and completion applications are presented in [2]. By performing completion jointly with super-resolution and demosaicing, the method also allows the extraction of high quality views from RAW lenslet data of plenoptic cameras (see examples of results below).
  • The compression of light fields is addressed in [3] with a view prediction scheme based on the FDL view interpolation.
  • Another light field compression and streaming method that directly encodes the FDL model is presented in [4]. It constructs a binary tree structure from the layers to encode the FDL in a hierarchical manner, thus providing a scalable representation for light field streaming.

[1] M. Le Pendu, C. Guillemot and A. Smolic, “A Fourier Disparity Layer Representation for Light Fields,” in IEEE Transactions on Image Processing_, vol. 28, no. 11, pp. 5740-5753, Nov. 2019.

[2] M. Le Pendu and A. Smolic “High Resolution Light Field Recovery with Fourier Disparity Layer Completion, Demosaicing, and Super-Resolution”, IEEE International Conference on Computational Photography (ICCP) Apr. 2020. (watch the talk here)

[3] E. Dib, M. Le Pendu and C. Guillemot “Light field Compression using Fourier Disparity Layers”, IEEE International Conference on Image Processing (ICIP), Sep. 2019, Taipei, Taiwan.

[4] M. Le Pendu, C. Ozcinar and A. Smolic “Hierarchical Fourier Disparity Layer Transmission for Light Field Streaming”, IEEE International Conference on Image Processing (ICIP), Oct. 2020.


The matlab code is available on github: here!


Demonstration of the applications in [1]


Examples of view extraction from lenslet RAW data of a Lytro Illum camera [2] (click on images for full resolution)
FDL Extraction Lytro Desktop (official Lytro software)