Geometrical product specification (GPS) - Filtration - Part 61: Linear areal filters - Gaussian filters (ISO 16610-61:2015)

ISO 16610-61:2015 specifies linear areal Gaussian filters for the rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical surfaces. It specifies, in particular, how to separate long and short wave components of a surface.

Geometrische Produktspezifikation (GPS) - Filterung - Teil 61: Lineare Flächenfilter: Gauß-Filter (ISO 16610-61:2015)

Dieser Teil von ISO 16610 legt die linearen, flächenhaften Gauß Filter zur rotationssymmetrischen Filterung nominal ebener Oberflächen und der Filterung nominal zylindrischer Oberflächen fest. Er legt insbesondere fest, wie langwellige und kurzwellige Komponenten einer Oberfläche voneinander getrennt werden.

Spécification géométrique des produits (GPS) - Filtrage - Partie 61: Filtres surfaciques linéaires: Filtres Gaussiens (ISO 16610-61:2015)

L'ISO 16610-61:2015 spécifie les filtres gaussiens surfaciques linéaires pour le filtrage symétrique en rotation des surfaces planes nominales et le filtrage des surfaces cylindriques nominales. Elle spécifie notamment la façon de séparer les composantes à longueur d'onde longue et les composantes à longueur d'onde courte d'une surface.

Specifikacija geometrijskih veličin izdelka (GPS) - Filtriranje - 61. del: Linearni ravni filtri - Gaussovi filtri (ISO 16610-61:2015)

Ta del standarda ISO 16610 določa meroslovne značilnosti linearnih ravnih Gaussovih filtrov za rotacijsko simetrično filtriranje nominalnih planarnih površin in filtriranje nominalnih cilindričnih površin. Zlasti določa, kako ločiti dolgovalovne in kratkovalovne dele površine.

General Information

Status
Published
Publication Date
07-Jul-2015
Current Stage
6060 - Definitive text made available (DAV) - Publishing
Due Date
08-Jul-2015
Completion Date
08-Jul-2015

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SLOVENSKI STANDARD
SIST EN ISO 16610-61:2015
01-oktober-2015

6SHFLILNDFLMDJHRPHWULMVNLKYHOLþLQL]GHOND *36 )LOWULUDQMHGHO/LQHDUQL

UDYQLILOWUL*DXVVRYLILOWUL ,62

Geometrical Product Specification (GPS) - Filtration - Part 61: Linear areal filters -

Gaussian filters (ISO 16610-61:2015)

Geometrische Produktspezifikation (GPS) - Filterung - Teil 61: Lineare Flächenfilter -

Gauß-Filter (ISO 16610-61:2015)

Spécification géométrique des produits (GPS) - Filtrage - Partie 61: Filtres linéaires de

surface - Filtres Gaussian (ISO 16610-61:2015)
Ta slovenski standard je istoveten z: EN ISO 16610-61:2015
ICS:
17.040.20 Lastnosti površin Properties of surfaces
SIST EN ISO 16610-61:2015 en

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

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SIST EN ISO 16610-61:2015
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SIST EN ISO 16610-61:2015
EUROPEAN STANDARD
EN ISO 16610-61
NORME EUROPÉENNE
EUROPÄISCHE NORM
July 2015
ICS 17.040.20
English Version
Geometrical product specification (GPS) - Filtration - Part 61:
Linear areal filters - Gaussian filters (ISO 16610-61:2015)

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

Partie 61: Filtres surfaciques linéaires: Filtres Gaussiens 61: Lineare Flächenfilter: Gauß-Filter (ISO 16610-61:2015)

(ISO 16610-61:2015)
This European Standard was approved by CEN on 21 February 2015.

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

© 2015 CEN All rights of exploitation in any form and by any means reserved Ref. No. EN ISO 16610-61:2015 E

worldwide for CEN national Members.
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SIST EN ISO 16610-61:2015
EN ISO 16610-61:2015 (E)
Contents Page

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

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SIST EN ISO 16610-61:2015
EN ISO 16610-61:2015 (E)
European foreword

The text of (EN ISO 16610-61:2015) 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 January 2016, and conflicting national standards shall be withdrawn at

the latest by January 2016.

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 16610-61:2015 has been approved by CEN as EN ISO 16610-61:2015 without any

modification.
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SIST EN ISO 16610-61:2015
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SIST EN ISO 16610-61:2015
INTERNATIONAL ISO
STANDARD 16610-61
First edition
2015-07-01
Geometrical product specification
(GPS) — Filtration —
Part 61:
Linear areal filters — Gaussian filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 61: Filtres surfaciques linéaires : Filtres Gaussiens
Reference number
ISO 16610-61:2015(E)
ISO 2015
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SIST EN ISO 16610-61:2015
ISO 16610-61:2015(E)
COPYRIGHT PROTECTED DOCUMENT
© ISO 2015, 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 2015 – All rights reserved
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SIST EN ISO 16610-61:2015
ISO 16610-61:2015(E)
Contents Page

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

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

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

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

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

4 Characteristics of linear planar Gaussian filters ................................................................................................................. 2

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

4.2 Weighting function of linear planar filters ...................................................................................................................... 2

4.3 Transmission characteristics of linear planar Gaussian filters ..................................................................... 4

4.3.1 Transmission characteristic of the long wave component .......................................................... 4

4.3.2 Transmission characteristic of the short wave component ........................................................ 5

4.4 Separable weighting functions .................................................................................................................................................. 6

5 Characteristics of linear cylindrical Gaussian filters...................................................................................................... 6

5.1 General ........................................................................................................................................................................................................... 6

5.2 Weighting function of linear cylindrical Gaussian filters ................................................................................... 6

5.3 Transmission characteristics of a linear cylindrical profile ............................................................................. 7

5.3.1 Transmission characteristic of the long wave component .......................................................... 7

5.3.2 Transmission characteristic of the short wave component ........................................................ 9

6 Other Information ............................................................................................................................................................................................11

6.1 General ........................................................................................................................................................................................................11

6.2 Filter Designations ............................................................................................................................................................................11

Annex A (informative) Examples ...........................................................................................................................................................................12

Annex B (informative) Concept diagram .......................................................................................................................................................15

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

Annex D (informative) Relationship to the GPS matrix model ...............................................................................................17

Bibliography .............................................................................................................................................................................................................................18

© ISO 2015 – All rights reserved iii
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SIST EN ISO 16610-61:2015
ISO 16610-61:2015(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
— Part 20: Linear profile filters: Basic concepts
— Part 21: Linear profile filters: Gaussian filters
— Part 22: Linear profile filters: Spline filters
— Part 28: Profile filters: End effects
— Part 29: Linear profile filters: Spline wavelets
— Part 30: Robust profile filters: Basic concepts
— Part 31: Robust profile filters: Gaussian regression filters
— Part 32: Robust profile filters: Spline filters
— Part 40: Morphological profile filters: Basic concepts

— Part 41: Morphological profile filters: Disk and horizontal line-segment filters

— Part 49: Morphological profile filters: Scale space techniques
— Part 60: Linear areal filters: Basic concepts
— Part 61: Linear areal filters: Gaussian filters
— Part 71: Robust areal filters: Gaussian regression filters
iv © ISO 2015 – All rights reserved
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SIST EN ISO 16610-61:2015
ISO 16610-61:2015(E)
— Part 85: Morphological areal filters: 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 45: Morphological profile filters: Segmentation
— 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 89: Morphological areal filters: Scale space techniques
© ISO 2015 – All rights reserved v
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SIST EN ISO 16610-61:2015
ISO 16610-61:2015(E)
Introduction

This part of ISO 16610 is a geometrical product specification (GPS) standard and is to be regarded as a

general GPS standard (see ISO/TR 14638). It influences chain links 3 and 5 in the GPS matrix structure..

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

part of ISO 16610 is a part. The fundamental rules of ISO/GPS given in ISO 8015 apply to this part of

ISO 16610 and the default decision rules given in ISO 14253-1 apply to specifications made in accordance

with this part of ISO 16610, unless otherwise indicated.

For more detailed information about the relation of this part of ISO 16610 to the GPS matrix model, see

Annex D.

This part of ISO 16610 specifies the metrological characteristics of linear areal Gaussian filters for the

rotationally symmetric filtration of nominal planar surfaces and the filtration of nominal cylindrical

surfaces. It specifies, in particular, how to separate long and short wave components of a surface.

vi © ISO 2015 – All rights reserved
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SIST EN ISO 16610-61:2015
INTERNATIONAL STANDARD ISO 16610-61:2015(E)
Geometrical product specification (GPS) — Filtration —
Part 61:
Linear areal filters — Gaussian filters
1 Scope

This part of ISO 16610 specifies linear areal Gaussian filters for the rotationally symmetric filtration of

nominal planar surfaces and the filtration of nominal cylindrical surfaces. It specifies, in particular, how

to separate long and short wave 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 specification (GPS) — Filtration — Part 1: Overview and basic terminology

ISO 16610-20, Geometrical product specification (GPS) — Filtration — Part 20: Linear profile filters:

basic concepts

ISO 16610-21:2011, Geometrical product specifications (GPS) — Filtration — Part 21: Linear profile filters:

Gaussian filters

ISO 16610-60, Geometrical product specification (GPS) — Filtration — Part 60: Linear areal filters:

Basic concepts

ISO/IEC Guide 99:2007, International vocabulary of metrology — Basic and general concepts and

associated terms (VIM)

ISO/IEC Guide 98-3:2008, Uncertainty of measurement — Part 3: Guide to the expression of uncertainty in

measurement (GUM)
3 Terms and definitions

For the purposes of this document, the terms and definitions given in ISO 16610-1, ISO 16610-20,

ISO 16610-21, ISO 16610-60, ISO/IEC Guide 98-3:2008, ISO/IEC Guide 99, and the
...

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