Memorias de investigación
Artículos en revistas:
Computation of the Multi-Chord Distribution of Convex and Concave Polygons
Año:2015
Áreas de investigación
  • Geometría
Datos
Descripción
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.
Internacional
Si
JCR del ISI
No
Título de la revista
Applied Mathematical Sciences
ISSN
1312-885X
Factor de impacto JCR
Información de impacto
Volumen
9
DOI
10.12988
Número de revista
94
Desde la página
4669
Hasta la página
4708
Mes
JULIO
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Participantes
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Departamento: Física Aplicada a Las Ingenierías Aeronáutica y Naval