ISO 16610-21:2011 PDF

Geometrical product specifications (GPS) — Filtration — Part 21: Linear profile filters: Gaussian filters

First page of standard ISO 16610-21:2011

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Title (English):

ISO 16610-21:2011

Geometrical product specifications (GPS) — Filtration — Part 21: Linear profile filters: Gaussian filters

Document status:: Withdrawn
Format:: Electronic (PDF)
Number of pages:: 23
Publication date:: May 27, 2011
Edition:: ISO IS 16610 edition 1 version 1
ICS:: 17.040.20

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Description (English):

ISO 16610-21:2011 specifies the metrological characteristics of the Gaussian filter, for the filtration of profiles. It specifies, in particular, how to separate long and short wave components of a surface profile.

Technical details

Technical committee: ISO/TC 213 - Dimensional and geometrical product specifications and verification
SKU: ISO 16610-21:2011

Abstract

Overview

ISO 16610-21:2011 - "Geometrical product specifications (GPS) - Filtration - Part 21: Linear profile filters: Gaussian filters" defines the metrological characteristics of the Gaussian filter used for profile filtration in surface metrology. The standard explains how to separate a measured surface profile into long-wave (form/waviness) and short-wave (roughness) components by using a Gaussian weighting function with a cut-off wavelength that transmits 50% amplitude at the cut-off.

Key topics and technical requirements

Gaussian weighting function: Defines the mathematical form of the Gaussian kernel used for profile convolution. The standard specifies the weighting function for both open and closed profiles and gives the constant α (α ≈ 0.4697) required to achieve 50% transmission at the cut-off wavelength.
Transmission characteristics: Transmission curves for the long-wave and short-wave profile components are derived from the weighting function by Fourier transform. The long- and short-wave characteristics are complementary.
Open vs closed profiles:
- Open profiles: finite-length profiles with two ends; the standard addresses end effects and recommends strategies to reduce them (e.g., truncating end regions or other techniques referenced in ISO/TS 16610-28).
- Closed profiles: weighting function is the Gaussian density wrapped around the profile circumference; the standard warns a closed-profile filter is not recommended if circumference

Related standards

Mentioned in the description and other ISO standards

Overview

Key topics and technical requirements

Gaussian weighting function: Defines the mathematical form of the Gaussian kernel used for profile convolution. The standard specifies the weighting function for both open and closed profiles and gives the constant α (α ≈ 0.4697) required to achieve 50% transmission at the cut-off wavelength.
Transmission characteristics: Transmission curves for the long-wave and short-wave profile components are derived from the weighting function by Fourier transform. The long- and short-wave characteristics are complementary.
Open vs closed profiles:
- Open profiles: finite-length profiles with two ends; the standard addresses end effects and recommends strategies to reduce them (e.g., truncating end regions or other techniques referenced in ISO/TS 16610-28).
- Closed profiles: weighting function is the Gaussian density wrapped around the profile circumference; the standard warns a closed-profile filter is not recommended if circumference

ISO 16610-21:2011 PDF

Technical details

Abstract

Overview

Key topics and technical requirements

Related standards

Abstract

Overview

Key topics and technical requirements

Related standards

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