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arXiv · 2110.11054

A Geometric Approach for Computing the Kernel of a Polyhedron

Tommaso Sorgente·Silvia Biasotti·Michela Spagnuolo
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Abstract

We present a geometric algorithm to compute the geometric kernel of a generic polyhedron. The geometric kernel (or simply kernel) is definedas the set of points from which the whole polyhedron is visible. Whilst the computation of the kernel for a polygon has already been largely addressed in the literature, less has been done for polyhedra. Currently, the principal implementation of the kernel estimation is based on the solution of a linear programming problem. We compare against it on several examples, showing that our method is more efficient in analysing the elements of a generic tessellation. Details on the technical implementation and discussions on pros and cons of the method are also provided.

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Tommaso Sorgente, Silvia Biasotti, Michela Spagnuolo. 2021-10-21. A Geometric Approach for Computing the Kernel of a Polyhedron. https://arxiv.org/abs/2110.11054

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