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
Inglese
P. Frosini, D. Giorgi, S. Melzi, and E. Rodolà
STAG: Smart Tools and Applications in Graphics (2021)
STAG: Smart Tools and Applications in Graphics (2021)
11
19
9
9783038681656
The Eurographics Association
Goslar
GERMANIA
Sì, ma tipo non specificato
26-29 October, 2021
Remote event
Computing methodologies
Volumetric models
Elettronico
3
restricted
Sorgente, T; Biasotti, S; Spagnuolo, M
273
info:eu-repo/semantics/conferenceObject
04 Contributo in convegno::04.01 Contributo in Atti di convegno
   New CHallenges for (adaptive) PDE solvers: the interplay of ANalysis and GEometry
   CHANGE
   H2020
   694515
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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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