SIST EN ISO 16610-71:2014

Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters: Gaussian regression filters (ISO 16610-71:2014)

This part of ISO 16610 specifies the metrological characteristics of robust areal Gaussian regression filters, for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces.

Geometrische Produktspezifikation (GPS) - Filterung - Teil 71: Robuste Flächenfilter: Gaußsche Regressionsfilter (ISO 16610-71:2014)

Dieser Teil von ISO 16610 legt die Merkmale des robusten, flächenhaften Gaußschen Regressionsfilters für die Auswertung von Oberflächen fest, die impulsartige Störungen sowie tiefe Einschnitte und hohe Spitzen enthalten dürfen. Er legt insbesondere fest, wie großskalige laterale Komponenten und kleinskalige laterale Komponenten einer Oberfläche getrennt werden.

Spécification géométrique des produits (GPS) - Filtrage - Partie 71: Filtres surfaciques robustes: Filtres de régressions gaussiens (ISO 16610-71:2014)

L'ISO 16610-71:2014 spécifie les caractéristiques du filtre de régression gaussien surfacique robuste pour l'évaluation des surfaces pouvant contenir des discontinuités de type pointe mais aussi des vallées profondes et des pics élevés. Elle spécifie en particulier la méthode de séparation des composantes latérales à grande échelle et à petite échelle d'une surface.

Specifikacija geometrijskih veličin izdelka (GPS) – Filtriranje - 71. del: Grobopovršinski filtri: Gaussovi regresijski filtri (ISO 16610-71:2014)

Ta del standarda ISO 16610 določa meroslovne značilnosti grobopovršinskih Gaussovih regresijskih filtrov za rotacijsko simetrično filtriranje nominalnih planarnih površin in filtriranje nominalnih cilindričnih površin.

General Information

• Status: Published
• Public Enquiry End Date: 24-Jun-2012
• Publication Date: 09-Nov-2014
• ICS: 17.040.20 - Properties of surfaces
• ICS: 17.040.40 - Geometrical Product Specification (GPS)
• Technical Committee: ISEL - Mechanical elements
• Current Stage: 6060 - National Implementation/Publication (Adopted Project)
• Start Date: 13-Oct-2014
• Due Date: 18-Dec-2014
• Completion Date: 10-Nov-2014
• Ref Project: EN ISO 16610-71:2014 - Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters: Gaussian regression filters (ISO 16610-71:2014)

Standards Content (Sample)

SLOVENSKI STANDARD
SIST EN ISO 16610-71:2014
01-december-2014
6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND*36±)LOWULUDQMHGHO
*URERSRYUãLQVNLILOWUL*DXVVRYLUHJUHVLMVNLILOWUL,62

Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters:

Gaussian regression filters (ISO 16610-71:2014)

Geometrische Produktspezifikation (GPS) - Filterung - Teil 71: Robuste Flächenfilter:

Gaußsche Regressionsfilter (ISO 16610-71:2014)

Spécification géométrique des produits (GPS) - Filtrage - Partie 71: Filtres surfaciques

robustes: Filtres de régressions gaussiens (ISO 16610-71:2014)
Ta slovenski standard je istoveten z: EN ISO 16610-71:2014
ICS:
17.040.20 Lastnosti površin Properties of surfaces
SIST EN ISO 16610-71:2014 en

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

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SIST EN ISO 16610-71:2014
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SIST EN ISO 16610-71:2014
EUROPEAN STANDARD
EN ISO 16610-71
NORME EUROPÉENNE
EUROPÄISCHE NORM
September 2014
ICS 17.040.20
English Version
Geometrical product specifications (GPS) - Filtration - Part 71:
Robust areal filters: Gaussian regression filters (ISO 16610-
71:2014)

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

Partie 71: Filtres surfaciques robustes: Filtres de régression 71: Robuste Flächenfilter: Gaußsche Regressionsfilter (ISO

gaussiens (ISO 16610-71:2014) 16610-71:2014)
This European Standard was approved by CEN on 16 August 2014.

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

© 2014 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-71:2014 E

worldwide for CEN national Members.
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SIST EN ISO 16610-71:2014
EN ISO 16610-71:2014 (E)
Contents Page

Foreword ..............................................................................................................................................................3

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SIST EN ISO 16610-71:2014
EN ISO 16610-71:2014 (E)
Foreword

This document (EN ISO 16610-71:2014) 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 March 2015, and conflicting national standards shall be withdrawn at

the latest by March 2015.

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 16610-71:2014 has been approved by CEN as EN ISO 16610-71:2014 without any

modification.
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SIST EN ISO 16610-71:2014
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SIST EN ISO 16610-71:2014
INTERNATIONAL ISO
STANDARD 16610-71
First edition
2014-09-15
Geometrical product specifications
(GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian
regression filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 71: Filtres surfaciques robustes: Filtres de régression gaussiens
Reference number
ISO 16610-71:2014(E)
ISO 2014
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2014

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
Case postale 56 • CH-1211 Geneva 20
Tel. + 41 22 749 01 11
Fax + 41 22 749 09 47
E-mail [e-mail]
Web www.iso.org
Published in Switzerland
ii © ISO 2014 – All rights reserved
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)
Contents Page

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

Introduction ................................................................................................................................................................................................................................vi

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

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

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

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

4.1 General ........................................................................................................................................................................................................... 2

4.2 Weighting function .............................................................................................................................................................................. 2

4.3 Filter equation ......................................................................................................................................................................................... 3

4.4 Transmission characteristics ...................................................................................................................................................... 5

5 Robust cylindrical Gaussian regression filter ........................................................................................................................ 5

5.1 General ........................................................................................................................................................................................................... 5

5.2 Weighting function .............................................................................................................................................................................. 5

5.3 Filter equation ......................................................................................................................................................................................... 6

5.4 Transmission characteristics ...................................................................................................................................................... 7

6 Nesting Index for planar and cylinder surfaces ................................................................................................................... 8

7 Filter designation................................................................................................................................................................................................. 8

Annex A (informative) Regression filter ........................................................................................................................................................... 9

Annex B (informative) Examples ...........................................................................................................................................................................11

Annex C (informative) Relationship to the filtration matrix model ..................................................................................16

Annex D (informative) Relation to the GPS matrix model ...........................................................................................................18

Bibliography .............................................................................................................................................................................................................................20

© ISO 2014 – All rights reserved iii
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(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 WTO principles in the Technical Barriers

to Trade (TBT) see the following URL: Foreword - Supplementary information

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

specifications and verification.

ISO 16610 consists of the following parts, under the general title Geometrical product specifications

(GPS) — Filtration:
— Part 1: Overview and basic concepts [Technical Specification]
— Part 20: Linear profile filters: Basic concepts [Technical Specification]
— Part 21: Linear profile filters: Gaussian filters
— Part 22: Linear profile filters: Spline filters [Technical Specification]
— Part 28: Profile filters: End effects [Technical Specification]
— Part 29: Linear profile filters: Spline wavelets [Technical Specification]
— Part 30: Robust profile filters: Basic concepts [Technical Specification]

— Part 31: Robust profile filters: Gaussian regression filters [Technical Specification]

— Part 32: Robust profile filters: Spline filters [Technical Specification]

— Part 40: Morphological profile filters: Basic concepts [Technical Specification]

— Part 41: Morphological profile filters: Disk and horizontal line-segment filters [Technical Specification]

— Part 49: Morphological profile filters: Scale space techniques [Technical Specification]

— Part 60: Linear areal filters — Basic concepts
— Part 61: Linear areal filters — Gaussian filters
— Part 71: Robust areal filters: Gaussian regression filters
iv © ISO 2014 – All rights reserved
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)
— Part 85: Areal Morphological: Segmentation
The following parts are planned:

— Part 26: Linear profile filters: Filtration on nominally orthogonal grid planar data sets

— Part 27: Linear profile filters: Filtration on nominally orthogonal grid cylindrical data sets

— Part 42: Morphological profile filters: Motif filters
— Part 62: Linear areal filters: Spline filters
— Part 69: Linear areal filters: Spline wavelets
— Part 70: Robust areal filters: Basic concepts
— Part 72: Robust areal filters: Spline filters
— Part 80: Morphological areal filters: Basic concepts

— Part 81: Morphological areal filters: Sphere and horizontal planar segment filters

— Part 82: Morphological areal filters: Motif filters
— Part 89: Morphological areal filters: Scale space techniques
© ISO 2014 – All rights reserved v
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)
Introduction

This part of ISO 16610 is a Geometrical Product Specification (GPS) standard and is to be regarded as a

Global GPS standard (see ISO/TR 14638). It influences the chain links 3 and 5 of all chains of standards.

The ISO/GPS Masterplan given in ISO/TR 14638 gives an overview of the ISO/GPS system of which

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

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

standard, unless otherwise indicated.

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

This part of ISO 16610 specifies the metrological characteristics of robust areal Gaussian regression

filters, for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal

cylindrical surfaces.

The filter is insensitive against specific phenomena in the input data (e.g. spike discontinuities as well as

deep valleys and high peaks, etc.). The boundaries of the measured surface are still usable.

vi © ISO 2014 – All rights reserved
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SIST EN ISO 16610-71:2014
INTERNATIONAL STANDARD ISO 16610-71:2014(E)
Geometrical product specifications (GPS) — Filtration —
Part 71:
Robust areal filters: Gaussian regression filters
1 Scope

This part of ISO 16610 specifies the characteristics of the robust areal Gaussian regression filter for the

evaluation of surfaces that may contain spike discontinuities as well as deep valleys and high peaks. It

specifies in particular how to separate large scale lateral components and short scale lateral components

of a surface.
2 Normative references

The following documents, in whole or in part, are normatively referenced in this document and are

indispensable for its application. For dated references, only the edition cited applies. For undated

references, the latest edition of the referenced document (including any amendments) applies.

ISO 16610-1, Geometrical product specifications (GPS) — Filtration — Part 1: Overview and basic concepts

ISO 16610-30:— , Geometrical product specifications (GPS) — Filtration — Part 30: Robust profile filters:

Basic concepts

ISO/IEC Guide 99, International vocabulary of metrology — Basic and general concepts and associated

terms (VIM)

ISO/IEC Guide 98-3, Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in

measurement (GUM:1995)
3 Terms and definitions

For the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-30,

ISO/IEC Guide 99 and ISO/IEC Guide 98-3 and the following apply.
3.1
robust planar filter

non linear areal filter to separate a planar surface with specific phenomena (e.g. spike discontinuities

as well as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral

components
3.2
robust cylindrical filter

non linear areal filter to separate a cylindrical surface with specific phenomena (e.g. spike discontinuities

as well as deep valleys and high peaks etc.) into large scale lateral components and short scale lateral

components
1) To be published. (Revision of ISO/TS 16610-30:2009)
© ISO 2014 – All rights reserved 1
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SIST EN ISO 16610-71:2014
ISO 16610-71:2014(E)
3.3
biweight function
asymmetric influence function defined by
 
 
 
u 1− for uc≤
 
ψ uc, = (1)
  
B c
 
 
0 for uc>
where c is the real scale parameter and u is a real number
Note 1 to entry: See ISO 16610-30:—, Figure 4.
3.4
robust areal regression filter

weighted M–estimator based on the areal local complete polynomial modelling of the surface

Note 1 to entry: See ISO 16610-30 for the definition of the weighted M-estimator.

Note 2 to entry: See Annex A for the mathematical definition of the robust areal regression filter.

3.5
robus
...