ISO INTERNATIONAL STANDARD 16610-21 First edition 2011-06-01 Geometrical product specifications (GPS) 一 Filtration - Part 21: Linear profile filters: Gaussian filters Spécification géometrique des produits (GPS) Filtrage - Partie 21: Filtres de profil lineaires: Filtres gaussiens Reference number ISO 16610-21:2011(E) @ ISO 2011 ISO 16610-21:2011(E) COPYRIGHT PROTECTED DOCUMENT @ISO2011 All rights reserved. Unless otherwise specified, no part of this publication may be reproduced or utilized in any form or by any means, IsO's member body in the country of the requester. ISO copyright office Case postale 56 · CH-1211 Geneva 20 Tel. + 41 22 749 01 11 Fax + 41 22 749 09 47 E-mail copyright@iso.org Web www.iso.org Published in Switzerland @ ISO 2011-All rights reserved ISO 16610-21:2011(E) Contents Page Foreword i Introduction .vi 1 Scope 2 Normative references. 3 Terms and definitions 4 Characteristics of Gaussian profile filter for an open profile 4.1 Gaussian weighting function for an open profile .. 4.2 Transmission characteristics of an open profile .. 4.2.1 Transmissioncharacteristicofthelongwavecomponentforanopenprofile 4.2.2 Transmission characteristic of the short wave component for an open profile... 4.3 End effects... 5 5 Characteristic of Gaussian profile filter for a closed profile.. 5.1 Introduction.. 5.2 Gaussian weighting function for a closed profile 5.3 Transmission characteristic of a closed profile filter.. 5.3.1 Transmission characteristic of the long wave component for a closed profile ... 5.3.2 Transmissioncharacteristicoftheshortwaveprofilecomponent..... 10 Annex A (informative) Implementation errors for open and closed profiles (convolution algorithm)....12 Annex B (informative) Examples . Annex C (informative) Relationship to the filtration matrix model 21 Annex D (informative) Relation to the GPS matrix model. 22 Bibliography... 23 ISO 2011-All rights reserved ii