Evaluating the cylindricity of a nominally cylindrical point set

Abstract : The minimum zone cylinder of a set of points in three dimensions is the cylindric crown defined by a pair of coaxial cylinders with minimal radial separation (width). In the context of tolerancing metrology, the set of points is nominally cylindrical, i.e., the points are known to lie in close proximity of a known reference cylinder. Using approximations which are valid only in the neighborhood of the reference cylinder, we can get a very good approximation of the minimum zone cylinder. The process provides successive approximations, and each iteration involves the solution of a linear programming problem in six dimensions. The error between the approximation and the optimal solution converges very rapidly (typically in three iterations in practice) down to a limit error of (8 omega^2)/R ( where omega is the width and R is the external radius of the zone cylinder).
Type de document :
Communication dans un congrès
ACM-SIAM Sympos. Discrete Algorithms, Jan 2000, San Francisco, United States. 2000
Liste complète des métadonnées

Littérature citée [7 références]  Voir  Masquer  Télécharger

https://hal.inria.fr/inria-00412600
Contributeur : Olivier Devillers <>
Soumis le : mercredi 2 septembre 2009 - 11:34:00
Dernière modification le : samedi 27 janvier 2018 - 01:30:49
Document(s) archivé(s) le : mardi 15 juin 2010 - 19:31:49

Fichier

soda.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : inria-00412600, version 1

Collections

Citation

Olivier Devillers, Franco Preparata. Evaluating the cylindricity of a nominally cylindrical point set. ACM-SIAM Sympos. Discrete Algorithms, Jan 2000, San Francisco, United States. 2000. 〈inria-00412600〉

Partager

Métriques

Consultations de la notice

305

Téléchargements de fichiers

2620