Geometrical product specifications (GPS) - Filtration - Part 31: Robust profile filters: Gaussian regression filters (ISO 16610-31:2016)

ISO 16610-31:2016 specifies the characteristics of the discrete robust Gaussian regression filter for the evaluation of surface profiles with spike discontinuities such as deep valleys and high peaks.

Geometrische Produktspezifikation (GPS) - Filterung - Teil 31: Robuste Profilfilter: Gaußsche Regressionsfilter (ISO 16610-31:2016)

Dieses Dokument legt die Merkmale des diskreten robusten Gaußschen Regressionsfilters für die Auswertung von Oberflächenprofilen mit impulsartigen Störungen sowie tiefen Einschnitten und hohen Spitzen fest.

Spécification géométrique des produits (GPS) - Filtrage - Partie 31: Filtres de profil robustes: Filtres de régression gaussiens (ISO 16610-31:2016)

ISO 16610-31:2016 spécifie les caractéristiques du filtre de régression gaussien robuste discret en vue de l'évaluation des profils de surface présentant des discontinuités ponctuelles, par exemple des creux et des saillies élevées.

Specifikacije geometrijskih veličin izdelka (GPS) - Filtriranje - 31. del: Robustni filtrni profil: Gaussovi regresijski filtri (ISO 16610-31:2016)

Ta del standarda ISO 16610 določa lastnosti ločenih robustnih Gaussovih regresijskih filtrov za oceno profilov površine s porastom prekinitev, kot so globoke doline in visoki vrhovi.

General Information

Status
Published
Publication Date
29-Nov-2016
Current Stage
6060 - Definitive text made available (DAV) - Publishing
Due Date
30-Nov-2016
Completion Date
30-Nov-2016

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SLOVENSKI STANDARD
SIST EN ISO 16610-31:2017
01-marec-2017

6SHFLILNDFLMHJHRPHWULMVNLKYHOLþLQL]GHOND *36 )LOWULUDQMHGHO5REXVWQL

ILOWUQLSURILO*DXVVRYLUHJUHVLMVNLILOWUL ,62

Geometrical product specifications (GPS) - Filtration - Part 31: Robust profile filters:

Gaussian regression filters (ISO 16610-31:2016)

Geometrische Produktspezifikation (GPS) - Filterung - Teil 31: Robuste Profilfilter:

Gaußsche Regressionsfilter (ISO 16610-31:2016)

Spécification géométrique des produits (GPS) - Filtrage - Partie 31: Filtres de profil

robustes: Filtres de régression gaussiens (ISO 16610-31:2016)
Ta slovenski standard je istoveten z: EN ISO 16610-31:2016
ICS:
17.040.20 Lastnosti površin Properties of surfaces
17.040.40 6SHFLILNDFLMDJHRPHWULMVNLK Geometrical Product
YHOLþLQL]GHOND *36 Specification (GPS)
SIST EN ISO 16610-31:2017 en,fr,de

2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

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SIST EN ISO 16610-31:2017
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SIST EN ISO 16610-31:2017
EN ISO 16610-31
EUROPEAN STANDARD
NORME EUROPÉENNE
November 2016
EUROPÄISCHE NORM
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part
31: Robust profile filters: Gaussian regression filters (ISO
16610-31:2016)

Spécification géométrique des produits (GPS) - Filtrage Geometrische Produktspezifikation (GPS) - Filterung -

- Partie 31: Filtres de profil robustes: Filtres de Teil 31: Robuste Profilfilter: Gaußsche

régression gaussiens (ISO 16610-31:2016) Regressionsfilter (ISO 16610-31:2016)
This European Standard was approved by CEN on 22 October 2016.

CEN members are bound to comply with the CEN/CENELEC Internal Regulations which stipulate the conditions for giving this

European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references

concerning such national standards may be obtained on application to the CEN-CENELEC Management Centre or to any CEN

member.

This European Standard exists in three official versions (English, French, German). A version in any other language made by

translation under the responsibility of a CEN member into its own language and notified to the CEN-CENELEC Management

Centre has the same status as the official versions.

CEN members are the national standards bodies of Austria, Belgium, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia,

Finland, Former Yugoslav Republic of Macedonia, France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania,

Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and

United Kingdom.
EUROPEAN COMMITTEE FOR STANDARDIZATION
COMITÉ EUROPÉEN DE NORMALISATION
EUROPÄISCHES KOMITEE FÜR NORMUNG
CEN-CENELEC Management Centre: Avenue Marnix 17, B-1000 Brussels

© 2016 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-31:2016 E

worldwide for CEN national Members.
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SIST EN ISO 16610-31:2017
EN ISO 16610-31:2016 (E)
Contents Page

European foreword ....................................................................................................................................................... 3

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SIST EN ISO 16610-31:2017
EN ISO 16610-31:2016 (E)
European foreword

This document (EN ISO 16610-31:2016) has been prepared by Technical Committee ISO/TC 213

“Dimensional and geometrical product specifications and verification” in collaboration with Technical

Committee CEN/TC 290 “Dimensional and geometrical product specification and verification” the

secretariat of which is held by AFNOR.

This European Standard shall be given the status of a national standard, either by publication of an

identical text or by endorsement, at the latest by May 2017, and conflicting national standards shall be

withdrawn at the latest by May 2017.

Attention is drawn to the possibility that some of the elements of this document may be the subject of

patent rights. CEN [and/or CENELEC] shall not be held responsible for identifying any or all such patent

rights.

According to the CEN-CENELEC Internal Regulations, the national standards organizations of the

following countries are bound to implement this European Standard: Austria, Belgium, Bulgaria,

Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Former Yugoslav Republic of Macedonia,

France, Germany, Greece, Hungary, Iceland, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta,

Netherlands, Norway, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, Switzerland,

Turkey and the United Kingdom.
Endorsement notice

The text of ISO 16610-31:2016 has been approved by CEN as EN ISO 16610-31:2016 without any

modification.
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SIST EN ISO 16610-31:2017
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SIST EN ISO 16610-31:2017
INTERNATIONAL ISO
STANDARD 16610-31
First edition
2016-11-15
Geometrical product specifications
(GPS) — Filtration —
Part 31:
Robust profile filters: Gaussian
regression filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 31: Filtres de profil robustes: Filtres de régression gaussiens
Reference number
ISO 16610-31:2016(E)
ISO 2016
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SIST EN ISO 16610-31:2017
ISO 16610-31:2016(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2016, 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.
ISO copyright office
Ch. de Blandonnet 8 • CP 401
CH-1214 Vernier, Geneva, Switzerland
Tel. +41 22 749 01 11
Fax +41 22 749 09 47
copyright@iso.org
www.iso.org
ii © ISO 2016 – All rights reserved
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SIST EN ISO 16610-31:2017
ISO 16610-31:2016(E)
Contents Page

Foreword ........................................................................................................................................................................................................................................iv

Introduction ..................................................................................................................................................................................................................................v

1 Scope ................................................................................................................................................................................................................................. 1

2 Normative references ...................................................................................................................................................................................... 1

3 Terms and definitions ..................................................................................................................................................................................... 1

4 Robust Gaussian regression filter ...................................................................................................................................................... 2

4.1 Weighting function .............................................................................................................................................................................. 2

4.2 Filter equation ......................................................................................................................................................................................... 2

4.2.1 General...................................................................................................................................................................................... 2

4.2.2 Filter equation for the robust Gaussian regression filter for open profiles .................. 2

4.2.3 Filter equation for robust Gaussian regression filter for closed profiles ........................ 5

4.2.4 Transmission characteristics ................................................................................................................................ 6

5 Recommendations for nesting index (cutoff values λ ) ................................................................................................ 6

6 Filter designation................................................................................................................................................................................................. 6

Annex A (informative) Examples .............................................................................................................................................................................. 7

Annex B (informative) Relationship to the filtration matrix model .................................................................................10

Annex C (informative) Relationship to the GPS matrix model ................................................................................................11

Bibliography .............................................................................................................................................................................................................................12

© ISO 2016 – All rights reserved iii
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SIST EN ISO 16610-31:2017
ISO 16610-31:2016(E)
Foreword

ISO (the International Organization for Standardization) is a worldwide federation of national standards

bodies (ISO member bodies). The work of preparing International Standards is normally carried out

through ISO technical committees. Each member body interested in a subject for which a technical

committee has been established has the right to be represented on that committee. International

organizations, governmental and non-governmental, in liaison with ISO, also take part in the work.

ISO collaborates closely with the International Electrotechnical Commission (IEC) on all matters of

electrotechnical standardization.

The procedures used to develop this document and those intended for its further maintenance are

described in the ISO/IEC Directives, Part 1. In particular the different approval criteria needed for the

different types of ISO documents should be noted. This document was drafted in accordance with the

editorial rules of the ISO/IEC Directives, Part 2 (see www.iso.org/directives).

Attention is drawn to the possibility that some of the elements of this document may be the subject of

patent rights. ISO shall not be held responsible for identifying any or all such patent rights. Details of

any patent rights identified during the development of the document will be in the Introduction and/or

on the ISO list of patent declarations received (see www.iso.org/patents).

Any trade name used in this document is information given for the convenience of users and does not

constitute an endorsement.

For an explanation on the meaning of ISO specific terms and expressions related to conformity assessment,

as well as information about ISO’s adherence to the World Trade Organization (WTO) principles in the

Technical Barriers to Trade (TBT) see the following URL: www.iso.org/iso/foreword.html.

The committee responsible for this document is ISO/TC 213, Dimensional and geometrical product

specifications and verification.

This first edition of ISO 16610-31 cancels and replaces ISO/TS 16610-31, which has been technically

revised.
A list of all parts in the ISO 16610 series can be found on the ISO website.
iv © ISO 2016 – All rights reserved
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SIST EN ISO 16610-31:2017
ISO 16610-31:2016(E)
Introduction

This document is a geometrical product specification (GPS) standard and is to be regarded as a general

GPS standard (see ISO 14638). It influences the chain link C of all chains of standards.

For more detailed information of the relation of this document to the GPS matrix model, see Annex C.

The ISO/GPS matrix model given in ISO 14638 gives an overview of the ISO/GPS system of which this

document is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this document and

the default decision rules given in ISO 14253-1 apply to specifications made in accordance with this

document, unless otherwise indicated.

This document develops the concept of the discrete robust Gaussian regression filter. The robust

process reduces the influence of the deep valleys and high peaks. The subject of this document is the

robus
...

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