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

A Geometric Approach for Computing the Kernel of a Polyhedron

T Sorgente;S Biasotti;M Spagnuolo
2021

Abstract

We present a geometric algorithm to compute the geometric kernel of a generic polyhedron. The geometric kernel (or simplykernel) is defined as the set of points from which the whole polyhedron is visible. Whilst the computation of the kernel fora polygon has already been largely addressed in the literature, less has been done for polyhedra. Currently, the principalimplementation of the kernel estimation is based on the solution of a linear programming problem. We compare against it onseveral examples, showing that our method is more efficient in analysing the elements of a generic tessellation. Details on thetechnical implementation and discussions on pros and cons of the method are also provided.
2021
Istituto di Matematica Applicata e Tecnologie Informatiche - IMATI - Sede Secondaria Genova
9783038681656
Computing methodologies
Volumetric models
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/441130
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