ISO 11562:1996
(Main)Geometrical Product Specifications (GPS) — Surface texture: Profile method — Metrological characteristics of phase correct filters
Geometrical Product Specifications (GPS) — Surface texture: Profile method — Metrological characteristics of phase correct filters
Describes the metrological characteristics of phase correct filters for the measurement of surface profiles. In particular it specifies how to separate the long and short wave content of a surface profile.
Spécification géométrique des produits (GPS) — État de surface: Méthode du profil — Caractéristiques métrologiques des filtres à phase correcte
La présente Norme internationale prescrit les caractéristiques métrologiques des filtres à phase correcte utilisés pour le mesurage des profils de surface. Elle prescrit notamment la façon de séparer les composantes de longueurs d'onde longue et courte du profil.
Specifikacija geometrijskih veličin izdelka - Tekstura površine: profilna metoda - Meroslovne značilnosti filtrov za fazno korekcijo
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IS0
INTERNATIONAL
11562
STANDARD
First edition
1996-12-01
Geometrical Product Specifications (GPS)
- Surface texture: Profile method -
Metrological characteristics of phase
correct filters
Spkcifica tion gbom&rique des produits (GPS) - &at de surface: Mb thode
du profil- Caractkistiques mktrologiques des filtres a phase correcte
Reference number
IS0 11562:1996(E)
---------------------- Page: 1 ----------------------
IS0 11562:1996(E)
Forevvord
IS0 (the International Organization for Standardization) is a worldwide fed-
eration of national standards bodies (IS0 member bodies). The work of
preparing International Standards is normally carried out through IS0
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. IS0
collaborates closely with the International Electrotechnical Commission
(I EC) on all matters of electrotechnical standardization.
Draft International Standards adopted by the technical committees are
circulated to the member bodies for voting. Publication as an International
Standard requires approval by at least 75 % of the member bodies casting
a vote.
International Standard IS0 II 562 was prepared jointly by Technical Com-
mittees lSO/TC 57, Metrology and properties of surfaces, Subcommittee
SC 1, Geometrical parameters - Instruments and procedures for
measurement of surface roughness and waviness, lSO/TC 3, limits and
fits, and lSO/TC I 0, Technical drawings, product definition and related
documentation, Subcommittee SC 5, Dimensioning and toierancing.
Annexes A, B and C of this International Standard are for information only.
0 IS0 1996
All rights reserved. Unless otherwise specified, no part of this publication may be
reproduced or utilized in any form or by any means, electronic or mechanical, including
photocopying and microfilm, without permrssron rn writing from the publisher.
International Organization for Standardization
Case Postale 56 l CH-1211 Geneve 20 l Switzerland
Printed in Switzerland
---------------------- Page: 2 ----------------------
@ IS0 IS0 11562:1996(E)
Introduction
This International Standard is a Geometrical Product Specification (GPS)
standard and is to be regarded as a General GPS standard (see
ISO/rR 14638). It influences chain links 2 and 3 of the chains of standards
for roughness profile and waviness profile and chain link 2 of the chain of
standards for primary profile and is envisaged also to cover roundness and
other form characteristics.
For more detailed information of the relation of this standard to other
standards and the GPS matrix model, see annex B.
For digital instruments, the appropriate filter for surface profile information
is a phase correct filter. The chosen weighting function, for the phase
correct filter, is Gaussian with a 50 % transmission at the cut-off
wavelength. This provides a transmission characteristic with a relatively
sharp cut-off.
It is of importance that the transmission for the cut-off wavelength is 50 %
since the short wave and long wave portions of the surface profile are
separated and can be recombined without altering the surface profile.
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This page intentionally left blank
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IS0 11562:1996(E)
INTERNATIONAL STANDARD @ IS0
Geometrical Product Specifications (GPS) - Surface
texture: Profile method - Metrological characteristics of phase
correct filters
1 Scope
This International Standard specifies the metrological characteristics of phase correct filters for the measurement
of surface pofiles.
In particular it specifies how to separate the long and short wave content of a surface profile.
2 Definitions
For the purposes of this International Standard, the following definitions apply.
2.1 profile filter: Filter which serapates profiles into longwave and shortwave components.
2.1.1 phase correct profile filter: Profile filter which does not cause phase shifts which lead to asymmetrical
profile distortions.
phase correct filter mean line (mean line): Long wave profile component which is determined for any point
2.2
of the profile by a weighted mean value derived from adjacent points.
2.3 transmission characteristic of a filter: Characteristic which indicates the amount by which the amplitude of
a sinusoidal profile is attenuated as a function of its wavelength.
2.4 weighting function: Function for calculating the mean line which indicates for each point the weight attached
by the profile in the neighbourhood of that point.
The transmission characteristic of the mean line is the Fourier transformation of the weighting function.
NOTE -
2.5 cut-off wavelength of the phase correct filter: Wavelength of a sinusoidal profile of which 50 5% of the
amplitude is transmitted by the profile filter.
NOTE - Profile filters are identified by their cut-off wavelength value.
---------------------- Page: 5 ----------------------
Q IS0
IS0 11562:1996(E)
Band of sinusoidal profile wavele ngth s which are transmitted at more than
2.6 transmission band for profiles:
different cut-off wavelengths are ied to th e profile.
50 % when two phase correct filters of
aPPl
NOTE - The profile filter with the shorter cut-off wavelength retains the long wave profile component and the profile filter
with the longer cut-off wavelength retains the short wave profile component.
2.7 cut-off ratio: Ratio of the long wavelength characteristic cut-off to the short wavelength characteristic cut-off
of a given transmission band.
3 Characteristics of phase correct profile filters
3.1 Weighting function for the phase correct profile filter
The weighting function of the phase correct filter (see figure I) corresponds to the equation of the Gaussian
density function. With the cut-off wavelength ko (where co = cut-off), the equation is as follows:
2
-n x
1
CY ace
( 1
. . .
s (x) = e (1)
a AC0
where
is the position in relation to the centre of the weighting function;
A:
hco is the cut-off wavelength of the profile filter;
= 0,469 7 . . .
(2)
Figure 1 - Weighting function of the profile filter
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0 IS0 IS0 11562:1996(E)
3.2 Transmission characteristic
32.1 Transmission characteristic of the long wave profi
...
SLOVENSKI STANDARD
SIST ISO 11562:2001
01-julij-2001
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0HURVORYQH]QDþLOQRVWLILOWURY]DID]QRNRUHNFLMR
Geometrical Product Specifications (GPS) -- Surface texture: Profile method --
Metrological characteristics of phase correct filters
Spécification géométrique des produits (GPS) -- État de surface: Méthode du profil --
Caractéristiques métrologiques des filtres à phase correcte
Ta slovenski standard je istoveten z: ISO 11562:1996
ICS:
17.040.20 Lastnosti površin Properties of surfaces
SIST ISO 11562:2001 en
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.
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SIST ISO 11562:2001
---------------------- Page: 2 ----------------------
SIST ISO 11562:2001
IS0
INTERNATIONAL
11562
STANDARD
First edition
1996-12-01
Geometrical Product Specifications (GPS)
- Surface texture: Profile method -
Metrological characteristics of phase
correct filters
Spkcifica tion gbom&rique des produits (GPS) - &at de surface: Mb thode
du profil- Caractkistiques mktrologiques des filtres a phase correcte
Reference number
IS0 11562:1996(E)
---------------------- Page: 3 ----------------------
SIST ISO 11562:2001
IS0 11562:1996(E)
Forevvord
IS0 (the International Organization for Standardization) is a worldwide fed-
eration of national standards bodies (IS0 member bodies). The work of
preparing International Standards is normally carried out through IS0
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. IS0
collaborates closely with the International Electrotechnical Commission
(I EC) on all matters of electrotechnical standardization.
Draft International Standards adopted by the technical committees are
circulated to the member bodies for voting. Publication as an International
Standard requires approval by at least 75 % of the member bodies casting
a vote.
International Standard IS0 II 562 was prepared jointly by Technical Com-
mittees lSO/TC 57, Metrology and properties of surfaces, Subcommittee
SC 1, Geometrical parameters - Instruments and procedures for
measurement of surface roughness and waviness, lSO/TC 3, limits and
fits, and lSO/TC I 0, Technical drawings, product definition and related
documentation, Subcommittee SC 5, Dimensioning and toierancing.
Annexes A, B and C of this International Standard are for information only.
0 IS0 1996
All rights reserved. Unless otherwise specified, no part of this publication may be
reproduced or utilized in any form or by any means, electronic or mechanical, including
photocopying and microfilm, without permrssron rn writing from the publisher.
International Organization for Standardization
Case Postale 56 l CH-1211 Geneve 20 l Switzerland
Printed in Switzerland
---------------------- Page: 4 ----------------------
SIST ISO 11562:2001
@ IS0 IS0 11562:1996(E)
Introduction
This International Standard is a Geometrical Product Specification (GPS)
standard and is to be regarded as a General GPS standard (see
ISO/rR 14638). It influences chain links 2 and 3 of the chains of standards
for roughness profile and waviness profile and chain link 2 of the chain of
standards for primary profile and is envisaged also to cover roundness and
other form characteristics.
For more detailed information of the relation of this standard to other
standards and the GPS matrix model, see annex B.
For digital instruments, the appropriate filter for surface profile information
is a phase correct filter. The chosen weighting function, for the phase
correct filter, is Gaussian with a 50 % transmission at the cut-off
wavelength. This provides a transmission characteristic with a relatively
sharp cut-off.
It is of importance that the transmission for the cut-off wavelength is 50 %
since the short wave and long wave portions of the surface profile are
separated and can be recombined without altering the surface profile.
---------------------- Page: 5 ----------------------
SIST ISO 11562:2001
This page intentionally left blank
---------------------- Page: 6 ----------------------
SIST ISO 11562:2001
IS0 11562:1996(E)
INTERNATIONAL STANDARD @ IS0
Geometrical Product Specifications (GPS) - Surface
texture: Profile method - Metrological characteristics of phase
correct filters
1 Scope
This International Standard specifies the metrological characteristics of phase correct filters for the measurement
of surface pofiles.
In particular it specifies how to separate the long and short wave content of a surface profile.
2 Definitions
For the purposes of this International Standard, the following definitions apply.
2.1 profile filter: Filter which serapates profiles into longwave and shortwave components.
2.1.1 phase correct profile filter: Profile filter which does not cause phase shifts which lead to asymmetrical
profile distortions.
phase correct filter mean line (mean line): Long wave profile component which is determined for any point
2.2
of the profile by a weighted mean value derived from adjacent points.
2.3 transmission characteristic of a filter: Characteristic which indicates the amount by which the amplitude of
a sinusoidal profile is attenuated as a function of its wavelength.
2.4 weighting function: Function for calculating the mean line which indicates for each point the weight attached
by the profile in the neighbourhood of that point.
The transmission characteristic of the mean line is the Fourier transformation of the weighting function.
NOTE -
2.5 cut-off wavelength of the phase correct filter: Wavelength of a sinusoidal profile of which 50 5% of the
amplitude is transmitted by the profile filter.
NOTE - Profile filters are identified by their cut-off wavelength value.
---------------------- Page: 7 ----------------------
SIST ISO 11562:2001
Q IS0
IS0 11562:1996(E)
Band of sinusoidal profile wavele ngth s which are transmitted at more than
2.6 transmission band for profiles:
different cut-off wavelengths are ied to th e profile.
50 % when two phase correct filters of
aPPl
NOTE - The profile filter with the shorter cut-off wavelength retains the long wave profile component and the profile filter
with the longer cut-off wavelength retains the short wave profile component.
2.7 cut-off ratio: Ratio of the long wavelength characteristic cut-off to the short wavelength characteristic cut-off
of a given transmission band.
3 Characteristics of phase correct profile filters
3.1
...
NORME
INTERNATIONALE
11562
Premikre kdition
1996-I Z-01
Spbcification gbombtrique des produits
- &at de surface: M&hode du profil
WS)
- Caractbristiques mbtrologiques des
filtres 5 phase correcte
Geometrical Product Specifica Cons (G PS) - Surface texture: Profile
method - Metrological characteristics of phase correct filters
Numbo de rbf&-ence
IS0 11562:1996(F)
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IS0 11562:1996(F)
Avant-propos
L’ISO (Organisation internationale de normalisation) est une federation
mondiale d’organismes nationaux de normalisation (comites membres de
I’ISO). L’elaboration des Normes internationales est en general confiee aux
comites techniques de I’ISO. Chaque comite membre inter-es& par une
etude a le droit de faire partie du comite technique tree a cet effet. Les
organisations internationales, gouvernementales et non gouvernemen-
tales, en liaison avec I’ISO participent egalement aux travaux. L’ISO colla-
bore etroitement avec la Commission electrotechnique internationale (CEI)
en ce qui concerne la normalisation electrotechnique.
Les projets de Normes internationales adopt& par les comites techniques
sont soumis aux comites membres pour vote. Leur publication comme
Normes internationales requiert I’approbation de 75 % au moins des co-
mites membres votants.
La Norme internationale IS0 11562 a ete elaboree conjointement par les
comites techniques lSO/TC 57, M&ro/ogie et propriGt& des surfaces,
sous-comite SC 1, Param&tres g&om&riques - Instruments et pro&-
dures pour la mesure de la rugositb et de I’ondulation des surfaces,
l’lSO/TC 3, Ajustements et I’lSOfK 10, Dessins techniques, definition de
produits et documentation y relative, sous-comite SC 5, Cotation et to/&
rancemen t.
Les an nexes A, B et C de la pres ente Norme internationale sont donnees
unique ment a titre d’i nformation.
0 IS0 1996
Droits de reproduction reserves. Sauf prescription differente, aucune partie de cette publi-
cation ne peut etre reproduite ni utilisee sous quelque forme que ce soit et par aucun pro-
cede, electronique ou mecanique, y compris la photocopie et les microfilms, sans I’accord
ecrit de I’editeur.
Organisation internationale de normalisation
Case postale 56. CH-1211 Geneve 20 l Suisse
lmprime en Suisse
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@ IS0 IS0 11562:1996(F)
Introduction
La presente Norme internationale qui traite de la specification geometrique
des produits (GPS), est consideree comme une norme GPS get-&ale (voir
l’lSO/TR 14638). Elle influence les maillons 2 et 3 des chaPnes de normes
relatives au ((profil de rugosite)) et au ((profil d’ondulation)) et le maillon 2
de la chaine de normes relative au ((profil primaire)); il est egalement prevu
qu’elle s’applique a la circularite et a d’autres caracteristiques de forme.
Pour de plus informations s ur la relation de la presente Norme
amples
internationale avec les autres normes et la matrice GPS, voir l’annexe B.
Le filtre qui convient aux instruments numeriques qui relevent le profil de
surface est un filtre a phase correcte. La fonction de ponderation retenue
pour ce filtre est gaussienne avec une transmission de 50 % pour la
longueur d’onde de coupure. Cela donne une caracteristique de trans-
mission relativement pentue.
II est important que la transmission soit de 50 % pour la longueur d’onde
de coupure dans la mesure ou les composantes de longueur d’onde courte
et de longueur d’onde longue sont separees et peuvent etre recombinees
sans alterer le profil de la surface.
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IS0 11562:1996(F)
NORME INTERNATIONALE @ IS0
Spbcification geomktrique des produits (GPS) - &at de surface:
Mbthode du profil- Caracthristiques mbtrologiques des filtres
& phase correcte
1 Domaine d’application
La presente Norme internationale prescrit les caracteristiques metrologiques des filtres a phase correcte utilises
pour le mesurage des profils de surface.
Elle prescrit notamment la facon de &parer les composantes de longueurs d’onde longue et courte du profil.
2 Dhfinitions
Pour les besoins de la presente Norme internationale, les definitions suivantes s’appliquent.
2.1 filtre de profil: Filtre qui &pare le profil en composantes de longueur d’onde longue et composantes de
longueur d’onde courte.
2.1.1 filtre & phase correcte: Filtre de profil qui ne tree pas de dephasages et qui ne produit pas de distorsions
dissymetriques du profil.
2.2 ligne moyenne du filtre & phase correcte (ligne moyenne): Composante du profil de longueur d’onde
longue, qui est determinee en tout point du profil par une valeur moyenne ponderee obtenue a partir des points
adjacents.
2.3 caractbristique de transmission d’un filtre: Caracteristique qui indique la proportion suivant laquelle
I’amplitude d’un profil sinuso’l’dal est attenuee en fonction de sa longueur d’onde.
2.4 fonction de pondbration: Fonction utilisee pour le calcul de la I igne moyenne, qui indique, pour chaque point,
le poids des autres points du profil situ& au voisinage de celui-ci.
NOTE - La caractbristique de transmission de la ligne moyenne est la tran sformee de Fourier de la fonction de pondkation.
2.5 longueur d’onde de coupure du filtre 6 phase correcte: Longueur d’onde d’un profil sinuso’idal dent 50%
de I’amplitude est transmise par le filtre de profil.
NOTE - Les filtres de profil sont identifiits par la valeur de Peur longueur d’onde de coupure.
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@ IS0
IS0 11562:1996(F)
2.6 bande de transmission des profils: Bande des longueurs d’onde d’un profil sinusoidal qui sont transmises a
plus de 50 % lorsque deux filtres a phase correcte de longueurs d’onde de coupure differentes sont appliques au
profil.
NOTE - Le filtre ayant la longueur d’onde de coupure la plus courte retient les composantes du profil a longueur d’onde
longue, et le filtre ayant la longueur d’onde de coupure la plus Pongue retient les composantes du profil 3 longueur d’onde
courte.
2.7 rapport des longueurs de coupure: Rapport de la longueur d’onde de coupure caracteristique de la longueur
d’onde longue a la longueur d’onde de coupure caracteristique de la longueur d’onde courte d’une bande de
transmission donnee.
3
Caractbristiques des filtres de profil & phase correcte
3.1 Fonction de pondbration du filtre ;h phase correcte
deration du a phase correcte (voir figure fonction de densite
La fonction de pon filtre I) co rrespond a I’equation de la
de probabili t6 gaus sienne. Pou r une longueur d’onde de coupure ace (co pour ((Cut-off ))), I’equ ati on est la sui vante:
2
x
--x -
1
a ace
( 1
=-
s (xl e . . . (‘1)
a AC0
x est la position par rapport au centre de la fonction de ponderation;
ace est la longueur d’onde de coupure du filtre de profil;
= 0,469 7 . . .
(2)
Figure 1 - Fonction de pondhation du filtre de profil
2
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IS0 11562:1996(F)
0 IS0
3.2 Caractbristique de transmission
3.2.1 Caractbristique de transmission de la composante du profil 3 longueur d’onde longue (li
...
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