Observatorio de I+D+i UPM

Memorias de investigación
Research Publications in journals:
Computation of the Multi-Chord Distribution of Convex and Concave Polygons
Year:2015
Research Areas
  • Geometry
Information
Abstract
Analytical expressions for the distribution of the length of chords corre- sponding to the affine invariant measure on the set of chords are given for convex polygons. These analytical expressions are a computational improve- ment over other expressions published in 2009 and 2011. The correlation function of convex polygons can be computed from the results obtained in this work, because it is determined by the distribution of chords. An analytical expression for the multi-chord distribution of the length of chords corresponding to the a?ne invariant measure on the set of chords is found for non convex polygons. In addition we give an algorithm to ?nd this multi-chord distribution which, for many concave polygons, is computation- ally more e?cient than the said analytical expression. The results also apply to non simply connected polygons.
International
Si
JCR
No
Title
Applied Mathematical Sciences
ISBN
1312-885X
Impact factor JCR
Impact info
Volume
9
10.12988
Journal number
94
From page
4669
To page
4708
Month
JULIO
Ranking
Participants
  • Autor: Ricardo Angel Garcia-Pelayo Novo (UPM)
Research Group, Departaments and Institutes related
  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval
S2i 2021 Observatorio de investigación @ UPM con la colaboración del Consejo Social UPM
Cofinanciación del MINECO en el marco del Programa INNCIDE 2011 (OTR-2011-0236)
Cofinanciación del MINECO en el marco del Programa INNPACTO (IPT-020000-2010-22)