Visibility PDE

This repo contains code for the paper A Partial Differential Equation Obstacle Problem for the Level Set Approach to Visibility.

Code

The script example_2D.m illustrates the different solvers available in 2D. These include determining the visibility set to a single point as well as multiple viewpoints. Running this scrpit will determine the visibility sets below

The script example_3D.m contains a 3D example where the obstacles are two buildings.

The script example_bunny.m determines the visibility set when the obstacle is a bunny shape.

Citation

If you use this paper or code in your scientific work, please cite as

@article{VisibilityPdeObermanSalvador,
  title     = {A Partial Differential Equation Obstacle Problem for the Level Set Approach to Visibility},
  author    = {Oberman, Adam and Salvador, Tiago},
  journal   = {Journal of Scientific Computing},
  volume    = {82},
  number    = {1},
  pages     = {14},
  year      = {2020},
  publisher = {Springer}
}