ISO INTERNATIONAL STANDARD 16610-40 Firstedition 2015-06-01 Geometrical product specifications (GPS) - Filtration - Part 40: Morphological profile filters: Basic concepts Speécification géomeétrique des produits (GPS)-Filtrage- Partie 4:Filtres de profil morphologiques: Concepts de base Reference number IS016610-40:2015(E) LSO Intemational Organization for Standardization @IS02015 ndardization 5956617 d without license from IHS IS016610-40:2015(E) COPYRIGHTPROTECTEDDOCUMENT IS02015,Published in Switzerland All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below or ISO's member body in the country of the requester. ISOcopyrightoffice Ch. de Blandonnet 8. CP 401 CH-1214 Vernier,Geneva, Switzerland Tel. +41 22 749 01 11 Fax +41 22 749 09 47 [email protected] www.iso.org Intematinaibr PrganizationfoStandardization networking permited withoutlicense from IHS Not for Resale, 2015/8/7 05:27:11 IS0 16610-40:2015(E) Contents Page Foreword ..iv Introduction.. ...vi 1 Scope.. 2 Normative references 3 Terms and definitions 4 Basic concepts .3 4.1 Minkowskisums .3 4.1.1 General .3 4.1.2 Minkowski addition.. .3 4.1.3 Minkowskisubtraction .4 4.2 Morphological operations 4 4.2.1 General. .4 4.2.2 Dilation. 4 4.2.3 Erosion .5 4.2.4 Opening. .5 4.2.5 Closing. .6 4.2.6 Higher order morphological operations .6 4.2.7 Properties of morphological operations .7 5 Morphological filters .7 5.1 General 5.2 Fill transform .7 5.3 Discrete morphologicalfilters 5.4 Envelopefilters. ..8 5.5 Samplingand reconstruction ..8 AnnexA(informative)Conceptdiagram ..13 Annex B (informative) Relationshipto the filtration matrix model ..14 AnnexC(informative)RelationshiptotheGPSmatrixmodel ..15 Bibliography ..16 iii icensee=Zhejiang Institute of Standardization 5956617 ithout license from IHS