A Geometric Approach for Computing the Kernel of a Polyhedron
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
We present a geometric algorithm to compute the geometric kernel of a generic polyhedron. The geometric kernel (or simply kernel) is defined as 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.
Description
@inproceedings{10.2312:stag.20211470,
booktitle = {Smart Tools and Apps for Graphics - Eurographics Italian Chapter Conference},
editor = {Frosini, Patrizio and Giorgi, Daniela and Melzi, Simone and Rodolà, Emanuele},
title = {{A Geometric Approach for Computing the Kernel of a Polyhedron}},
author = {Sorgente, Tommaso and Biasotti, Silvia and Spagnuolo, Michela},
year = {2021},
publisher = {The Eurographics Association},
ISSN = {2617-4855},
ISBN = {978-3-03868-165-6},
DOI = {10.2312/stag.20211470}
}