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GB/T 26958.21-2020Geometrical product specifications (GPS). Filtration - Part 21: Linear profile filters: Gaussian filters (English PDF)

产品几何技术规范(GPS) 滤波 第21部分:线性轮廓滤波器 高斯滤波器

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Issued by

State Administration for Market Regulation, China National Standardization Administration

Level / Type

National · Recommended

Issue date

December 14, 2020

Implementation date

July 1, 2021

Scope

GB/T 26958.21-2020 is the English-translated version of 产品几何技术规范(GPS) 滤波 第21部分:线性轮廓滤波器 高斯滤波器.

GB/T 26958.21-2020 is Part 21 of GB/T 26958 and specifies the metrological characteristics of the Gaussian filter used for profile filtering, giving the way the long wave and short wave components of a surface profile are separated.

It treats the Gaussian profile filter of an open profile and that of a closed profile, and repeats the definitions of linear profile filter, open profile and closed profile taken from Parts 1 and 20.

Informative annexes give the implementation error of open and closed profile filtering by convolution, a worked example and the place of the filter in the filtration and GPS matrix models.

It applies to the extraction of surface roughness profile features and may be consulted for other signal filtering. An identical translation of ISO 16610-21:2011, it was issued on 14 December 2020 and has applied since 1 July 2021.

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Document preview — GB/T 26958.21-2020

National Standard of the People's Republic of China

ICS
17.040.20
Classification
J 04

Issued by: State Administration for Market Regulation, China National Standardization Administration

Contents

  • Foreword
  • 1 Scope
  • 2 Normative references
  • 3 Terms and definitions
  • 4 Gaussian contour filter characteristics of open contour
  • 5 Gaussian contour filter characteristics of closed contour
  • Appendix A (informative appendix) Execution error of open and closed contour filtering (convolution algorithm)
  • Appendix B (informative appendix) Example
  • Appendix C (informative appendix) and the relationship between the filter matrix model
  • Appendix D (informative appendix) and GPS matrix model relationship
  • Reference

Foreword

GB/T 26958 "Geometric Technical Specifications for Products (GPS) Filtering" is divided into 89 parts, and the following 12 parts have been released.

---Part 1: Overview and basic concepts;

---Part 20: Basic concepts of linear contour filters;

---Part 21: Linear contour filter Gaussian filter;

---Part 22: Linear contour filter spline filter;

---Part 28: End effect of contour filter;

---Part 29: Linear contour filter spline wavelet;

---Part 30: Basic concepts of robust contour filter;

---Part 31: Robust contour filter Gaussian regression filter;

---Part 32: Robust contour filter spline filter;

---Part 40: Basic concepts of morphological contour filter;

---Part 41: Morphological contour filter disc and horizontal line segment filter;

---Part 49: Morphological contour filter scale space technology.

This part is part 21 of GB/T 26958.

This section was drafted in accordance with the rules given in GB/T 1.1-2009.

The translation method used in this part is equivalent to the ISO 16610-21:2011 "Geometric Technical Specification for Products (GPS) Filtering Part 21: Line Characteristic contour filter Gaussian filter".

The Chinese documents that have a consistent correspondence with the international documents cited in this section are as follows:

---JJF1001-2011 General measurement terms and definitions (ISO/IEC Guide 99:2007, MOD);

---JJF1059.1-2012 Measurement Uncertainty Evaluation and Expression (ISO/IEC Guide 98-3:2008, MOD). This section has made the following editorial changes.

---Rewrite Appendix D in accordance with the requirements of GB/T 20308-2020.

1 Scope

This part of GB/T 26958 specifies the metrological characteristics of Gaussian filters for contour filtering, and gives the long wave and shortwave component method.

This section applies to the extraction of surface profile roughness features, and other signal filtering and analysis occasions can be used as a reference.

2 Normative references

The following documents are indispensable for the application of this document. For dated reference documents, only the dated version applies to this document. For undated references, the latest version (including all amendments) applies to this document.

GB/Z 26958.1-2011 Product Geometric Technical Specification (GPS) Filtering Part 1: Overview and Basic Concepts (ISO/TS 16610-1:2006, IDT)

GB/Z 26958.20-2011 Geometric Technical Specifications for Products (GPS) Filtering Part 20: Basic Outline of Linear Contour Filter Read (ISO/TS 16610-20:2006, IDT)

ISO/IEC Guide 98-3:2008 Measurement Uncertainty Evaluation and Expression [Uncertaintyofmeasurement-Part 3:Guide totheexpressionofuncertaintyinmeasurement(GUM:1995)]

ISO/IEC Guide 99:2007 General Metrology Terms and Definitions [Internationalvocabularyofmetrology-Basicand generalconceptsandassociatedterms(VIM)]

3 Terms and definitions

The terms and definitions defined in GB/Z 26958.1, GB/Z 26958.20, ISO/IEC Guide 98-3 and ISO/IEC Guide 99 are applicable to this document. For ease of use, some terms and definitions in GB/Z 26958.1 and GB/Z 26958.20 are listed repeatedly below.

3.1 Linear profile filter

A contour filter that divides the contour into long wave and short wave components. [GB/Z 26958.20-2011, definition 3.1]

3.2 Open profile

A surface profile with two end points and a finite length. [GB/Z 26958.1-2011, definition 3.7]

3.3 Closed profile

Surface profile with no endpoints and limited length. [GB/Z 26958.1-2011, definition 3.8]

......
This preview omits tables, figures, formulas and parts of the technical clauses. The complete document — 20 pages — is available in the English PDF.

Referenced standards

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