Sparse Arrangements and the Number of Views of Polyhedral Scenes

@article{Berg1997SparseAA,
  title={Sparse Arrangements and the Number of Views of Polyhedral Scenes},
  author={Mark de Berg and Dan Halperin and Mark H. Overmars and Marc J. van Kreveld},
  journal={Int. J. Comput. Geom. Appl.},
  year={1997},
  volume={7},
  pages={175-195}
}
In this paper we study several instances of the problem of determining the maximum number of topologically distinct two-dimensional images that three-dimensional scenes can induce. To bound this number, we investigate arrangements of curves and of surfaces that have a certain sparseness property. Given a collection of n algebraic surface patches of constant maximum degree in 3-space with the property that any vertical line stabs at most k of them, we show that the maximum combinatorial… 

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