prEN ISO 16610-21

SLOVENSKI STANDARD
01-januar-2024
Nadomešča:
SIST EN ISO 16610-21:2012
Geometrične specifikacije izdelkov - Filtriranje - 21. del: Filtri linearnih profilov:
Gaussovi filtri (ISO/DIS 16610-21:2023)
Geometrical product specifications (GPS) - Filtration - Part 21: Linear profile filters:
Gaussian filters (ISO/DIS 16610-21:2023)
Geometrische Produktspezifikation (GPS) - Filterung - Teil 21: Lineare Profilfilter: Gauß-
Filter (ISO/DIS 16610-21:2023)
Spécification géométrique des produits (GPS) - Filtrage - Partie 21: Filtres de profil
linéaires: Filtres gaussiens (ISO/DIS 16610-21:2023)
Ta slovenski standard je istoveten z: prEN ISO 16610-21
ICS:
17.040.20 Lastnosti površin Properties of surfaces
17.040.40 Specifikacija geometrijskih Geometrical Product
veličin izdelka (GPS) Specification (GPS)
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

DRAFT INTERNATIONAL STANDARD
ISO/DIS 16610-21
ISO/TC 213 Secretariat: BSI
Voting begins on: Voting terminates on:
2023-10-31 2024-01-23
Geometrical product specifications (GPS) — Filtration —
Part 21:
Linear profile filters: Gaussian filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 21: Filtres de profil linéaires: Filtres gaussiens
ICS: 17.040.20; 17.040.40
This document is circulated as received from the committee secretariat.
THIS DOCUMENT IS A DRAFT CIRCULATED
FOR COMMENT AND APPROVAL. IT IS
ISO/CEN PARALLEL PROCESSING
THEREFORE SUBJECT TO CHANGE AND MAY
NOT BE REFERRED TO AS AN INTERNATIONAL
STANDARD UNTIL PUBLISHED AS SUCH.
IN ADDITION TO THEIR EVALUATION AS
BEING ACCEPTABLE FOR INDUSTRIAL,
TECHNOLOGICAL, COMMERCIAL AND
USER PURPOSES, DRAFT INTERNATIONAL
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
POTENTIAL TO BECOME STANDARDS TO
WHICH REFERENCE MAY BE MADE IN
Reference number
NATIONAL REGULATIONS.
ISO/DIS 16610-21:2023(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
PROVIDE SUPPORTING DOCUMENTATION. © ISO 2023

ISO/DIS 16610-21:2023(E)
DRAFT INTERNATIONAL STANDARD
ISO/DIS 16610-21
ISO/TC 213 Secretariat: BSI
Voting begins on: Voting terminates on:

Geometrical product specifications (GPS) — Filtration —
Part 21:
Linear profile filters: Gaussian filters
Spécification géométrique des produits (GPS) — Filtrage —
Partie 21: Filtres de profil linéaires: Filtres gaussiens
ICS: 17.040.20; 17.040.40
This document is circulated as received from the committee secretariat.
THIS DOCUMENT IS A DRAFT CIRCULATED
FOR COMMENT AND APPROVAL. IT IS
© ISO 2023
ISO/CEN PARALLEL PROCESSING
THEREFORE SUBJECT TO CHANGE AND MAY
All rights reserved. Unless otherwise specified, or required in the context of its implementation, no part of this publication may
NOT BE REFERRED TO AS AN INTERNATIONAL
be reproduced or utilized otherwise in any form or by any means, electronic or mechanical, including photocopying, or posting on STANDARD UNTIL PUBLISHED AS SUCH.
the internet or an intranet, without prior written permission. Permission can be requested from either ISO at the address below
IN ADDITION TO THEIR EVALUATION AS
or ISO’s member body in the country of the requester. BEING ACCEPTABLE FOR INDUSTRIAL,
TECHNOLOGICAL, COMMERCIAL AND
ISO copyright office
USER PURPOSES, DRAFT INTERNATIONAL
CP 401 • Ch. de Blandonnet 8
STANDARDS MAY ON OCCASION HAVE TO
BE CONSIDERED IN THE LIGHT OF THEIR
CH-1214 Vernier, Geneva
POTENTIAL TO BECOME STANDARDS TO
Phone: +41 22 749 01 11
WHICH REFERENCE MAY BE MADE IN
Reference number
Email: copyright@iso.org
NATIONAL REGULATIONS.
Website: www.iso.org ISO/DIS 16610-21:2023(E)
RECIPIENTS OF THIS DRAFT ARE INVITED
Published in Switzerland
TO SUBMIT, WITH THEIR COMMENTS,
NOTIFICATION OF ANY RELEVANT PATENT
RIGHTS OF WHICH THEY ARE AWARE AND TO
ii
PROVIDE SUPPORTING DOCUMENTATION. © ISO 2023

ISO/DIS 16610-21:2023(E)
Contents Page
Foreword .iv
Introduction .v
1 Scope . 1
2 Normative references . 1
3 Terms and definitions . 1
4 Characteristics of the Gaussian filter for an unbounded open profile .3
4.1 General information. 3
4.2 Gaussian weighting function for an unbounded open profile . 3
4.3 Determination of the large lateral scale component for an unbounded open profile . 4
4.4 Determination of the small lateral scale component for an unbounded open profile . 4
4.5 Transmission characteristics for an unbounded open profile . 5
4.5.1 Transmission characteristic of the large lateral scale component for an
unbounded open profile . 5
4.5.2 Transmission characteristic of the small lateral scale component for an
unbounded open profile . 6
5 Characteristics of the Gaussian filter for a closed profile . 7
5.1 General information. 7
5.2 Gaussian weighting function for a closed profile. 7
5.3 Determination of the large lateral scale component for a closed profile . 8
5.4 Determination of the small lateral scale component for a closed profile . 9
5.5 Transmission characteristics for a closed profile . 9
5.5.1 Transmission characteristic of the large lateral scale component for a
closed profile . 9
5.5.2 Transmission characteristic of the small lateral scale component of a
closed profile . 10
6 Recommended series of nesting index values for unbounded open profiles, open
profiles and closed profiles .11
7 Filter designation .11
Annex A (informative) Gaussian filter for open profiles with finite length .12
Annex B (informative) Implementation details of the Gaussian filter for a closed profile .22
Annex C (informative) Relationship to the filtration matrix model .26
Annex D (informative) Relation to the GPS matrix model .27
Bibliography .28
iii
ISO/DIS 16610-21:2023(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 of the voluntary nature of standards, 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
www.iso.org/iso/foreword.html.
This document was prepared by Technical Committee ISO/TC 213, Dimensional and geometrical product
specifications and verification, in collaboration with the European Committee for Standardization (CEN)
Technical Committee CEN/TC 290, Dimensional and geometrical product specification and verification, in
accordance with the Agreement on technical cooperation between ISO and CEN (Vienna Agreement).
This edition of ISO 16610-21 cancels and replaces edition ISO 16610-21:2011, which has been technically
revised.
The main changes are as follows.
— This document defines ideal continuous Gaussian filters for unbounded open profiles of infinite
length and for closed profiles, exemplary applied to roundness profiles.
— Implementation details for open and closed profiles including the treatment of end effects are given
in Annex A and Annex B, respectively.
A list of all parts in the ISO 16610 series can be found on the ISO website.
Any feedback or questions on this document should be directed to the user’s national standards body. A
complete listing of these bodies can be found at www.iso.org/members.html.
iv
ISO/DIS 16610-21:2023(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 chain link C of all chains of standards.
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 the specifications made in accordance with this
document, unless otherwise indicated.
For more information on the relationship of this document to filtration matrix model, see Annex C.
For more detailed information of the relation of this document to other standards and the GPS matrix
model, see Annex D.
This document develops the terminology and a concept of linear Gaussian filters for profiles. The linear
Gaussian filter for profiles has a transmission of 50 % for sinusoidal surface profiles with a wavelength
equal to the cut-off wavelength. It separates the large and small lateral scale components of a surface
profile in such a way that the surface profile can be reconstructed without altering.
v
DRAFT INTERNATIONAL STANDARD ISO/DIS 16610-21:2023(E)
Geometrical product specifications (GPS) — Filtration —
Part 21:
Linear profile filters: Gaussian filters
1 Scope
This document specifies Gaussian filters for the filtration of surface profiles. It defines, in particular,
how to separate large and small lateral scale components of a surface profile.
The concepts presented for closed profiles are applicable to the case of roundness filtering. Where
appropriate, these concepts can be extended to generalized closed profiles, especially for profiles with
re-entrant features.
Implementation details are given in Annex A for open profiles and Annex B for closed profiles.
2 Normative references
The following documents ar
...