GB/T 26958.71-2022Geometrical product specifications (GPS) - Filtration - Part 71: Robust areal filters - Gaussian regression filters (English PDF)

Foreword

This document was issued on 30 December 2022 by the State Administration for Market Regulation; Standardization Administration of the PRC and takes effect on 1 April 2023.

It is a GB/T standard: recommended rather than compulsory, but it is the text a Chinese reviewer applies when assessing a submission.

It is classified under ICS 17.040.20, Chinese classification J04.

This document is in accordance with the provisions of GB/T 1.1-2020 "Guidelines for Standardization Work Part 1.Structure and Drafting Rules for Standardization Documents"

drafting.

This document is part 71 of GB/T 26958 "Geometric Specifications for Products (GPS) Filtering". GB/T 26958 has been released

The following sections.

--- 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.Contour filter end effect;

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

--- Part 30.Basic concepts of robust contour filters;

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

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

--- Part 40.Basic concepts of morphological contour filters;

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

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

--- Part 60.Basic concepts of linear region filters;

--- Part 61.Linear region filter Gaussian filter;

--- Part 71.Robust region filter Gaussian regression filter;

--- Part 85.Morphological region filter segmentation.

This document is equivalent to ISO 16610-71.2014 "Product Geometric Specifications (GPS) Filtering Part 71.Robust Area Filtering

Filter. Gaussian Regression Filter".

Please note that some contents of this document may refer to patents. The issuing agency of this document assumes no responsibility for identifying patents.

This document is proposed and managed by the National Product Geometric Technical Specification Standardization Technical Committee (SAC/TC240).

This document is drafted by. AMETEK Trading (Shanghai) Co., Ltd., Chengdu University of Information Engineering, Xiamen Metrology Testing Institute, Beijing

Times Peak Technology Co., Ltd., Xiamen Wanming Electronics Co., Ltd., China Machinery Productivity Promotion Center Co., Ltd., China Institute of Metrology,

China Machine Research Institute of Standard Technology (Beijing) Co., Ltd., Shenzhen China Institute of Metrology Technology Innovation Research Institute, Guangdong Jinya Technology Co., Ltd.

Company, Shaanxi Yateny Electronics Co., Ltd., Guangdong Yingde Digital Technology Co., Ltd., Xi'an Kaiyijin Electronic Technology Co., Ltd.

The main drafters of this document. Zhang Tong, Xu Yuanping, Deng Shuifa, Hao Jianguo, Ming Cuixin, Shi Yushu, Zeng Li, Yu Qianqian, Wang Shuangying, Zhu Yue,

Yu Minming, Zhang Dejun, Quan Yongde, Zhang Zhijin, Xiang Mei.

Introduction

In the process of analyzing the feature information of product surface topography and roughness, the filter model, filter parameters, filter transmission characteristics, table

There are no consistent standards and specifications for the separation, extraction and reconstruction of long-wave components and short-wave components of surface profiles, and the treatment of end effects.

In line with the concept requirements of the GPS consistent specification. Focus on the processing technology and filtering of surface roughness feature information with Gaussian statistical distribution

Method to build a new generation of GPS surface roughness filtering specification system.

GB/T 26958 "Product Geometric Specifications (GPS) Filtering" is based on the new generation of GPS product geometric specification system, providing industrial production with

A complete set of filtering calculation tools has been established, which can be used together with other calculation tools to ensure the smooth and reasonable progress of product specification and certification. wide filter

It is widely used in surface topography measurement and analysis, and has become an important analysis tool for existing surface topography measuring instruments. The formulation and implementation of GB/T 26958

The measurement and analysis of surface topography information in the manufacturing field provides unified specification support for the development and application standardization of related instruments. This standard

The formulation of the standard is conducive to improving the diversified surface topography analysis tools and improving the quality, performance and international competitiveness of the company's products.

GB/T 26958 is proposed to be composed of 16 parts.

--- Part 1.Overview and basic concepts. The purpose is to specify the basic terms of GPS filtering and the basic flow used by GPS filtering

program framework.

--- Part 20.Basic concepts of linear contour filters. The purpose is to specify the basic concept of linear contour filters.

--- Part 21.Linear contour filter Gaussian filter. The purpose is to specify the metrological characteristics of the Gaussian filter used for contour filtering.

A method for separating the long-wave and short-wave components of the surface profile is given.

--- Part 22.Linear contour filter spline filter. The purpose is to specify spline filters for contour filtering, especially

Shows how to separate the longwave and shortwave components of a profile.

--- Part 28.Contour filter end effects. The purpose is to give a method to deal with the end effect of linear contour filter

method.

--- Part 29.Linear contour filter spline wavelet. The purpose is to specify the spline wavelet and related concepts for contour filtering.

In this paper, the basic terms and applications of compactly supported spline wavelets are given.

--- Part 30.Basic concepts of robust contour filters. The purpose is to specify the basic concept of robust contour filters.

--- Part 31.Robust contour filter Gaussian regression filter. The purpose is to specify the discrete robust Gaussian regression filter

characteristic.

--- Part 32.Robust contour filter spline filter. The purpose is to specify a robust spline filter suitable for surface contours

properties, and a detailed method for separating the long-wave and short-wave components of the surface profile.

--- Part 40.Basic concepts of morphological contour filters. The purpose is to specify morphological operations and filters, including envelope filtering

Basic terminology and concepts of oscilloscopes.

--- Part 41.Morphological contour filter disc and horizontal line segment filter. The purpose is to stipulate the use of disks and horizontal line segments to construct

Techniques for element-wise computation of morphological filters including envelope filters.

--- Part 49.Morphological contour filter scale space techniques. The purpose is to specify the shape-scale space technology, and to give the scale

Basic terminology and usage of dimensional space technology.

--- Part 60.Basic concepts of linear region filters. The purpose is to specify the basic concept of linear domain filters.

--- Part 61.Linear region filter Gaussian filter. The purpose is to specify the linear domain Gaussian filter, in particular the

How to separate the longwave and shortwave components of a surface.

--- Part 71.Robust region filter Gaussian regression filter. The purpose is to specify the characteristics of the robust domain Gaussian regression filter.

properties, especially methods for separating the large-scale and small-scale lateral components of a surface.

--- Part 85.Morphological region filter segmentation. The purpose is to establish terms and concepts related to the morphological segmentation of regions. Fake

As a continuous surface, in particular the watershed segmentation algorithm and the Wolfe pruning algorithm are described.

Product Geometry Specification (GPS) Filtering

Part 71.Robust region filters

Gaussian regression filter

1 Scope

GB/T 26958.71-2022 is the part of the GB/T 26958 filtration series that covers robust areal Gaussian regression filters, the tools used to separate the long-wave and short-wave components of a measured surface. Two are set out: the robust planar Gaussian regression filter and the robust cylindrical one, so that the same treatment applies whether the measured area is nominally flat or wrapped around an axis. Worked examples are given in an annex, together with the position these filters occupy in the filtration matrix model and in the general GPS matrix model, which is how a user finds the filter that belongs with a given surface parameter. The reason for the robust form is the way an ordinary Gaussian filter behaves on real surfaces. A deep valley, a pore, a scratch or a plateau left by honing pulls the fitted mean surface towards itself, so the reference surface bends into the very features being measured and the roughness values computed from it come out wrong — the same part is then judged differently depending on where it happened to be measured. A robust regression fit resists that pull. Written for metrology laboratories, instrument and software suppliers implementing areal surface texture analysis, and engineers who put surface specifications on drawings.

This document specifies robust area Gaussian filters, specifying in particular how to separate the long-wave and short-wave components of a surface.

This document is intended for use in the evaluation of surfaces that may contain peaked discontinuities, deep valleys, and peak features.

2 Normative references

The contents of the following documents constitute the essential provisions of this document through normative references in the text. Among them, dated references

For documents, only the version corresponding to the date is applicable to this document; for undated reference documents, the latest version (including all amendments) is applicable to

this document.

ISO 16610-1 Geometric product specification (GPS) filtering Part 1.Overview and basic concepts [Geometricalproduct

Note. GB /Z 26958.1-2011 Product Geometric Specifications (GPS) Filtering Part 1.Overview and Basic Concepts (ISO /T S16610-1.2006,

IDT)

ISO 16610-30 Product Geometric Specifications (GPS) Filtering Part 30.Basic Concepts of Robust Contour Filters [Geo-

Note. GB /Z 26958.30-2017 Product Geometric Specifications (GPS) Filtering Part 30.Basic Concepts of Robust Contour Filters

(ISO /T S16610-30.2009, IDT)

ISO /IEC Guide 98-3 Uncertainty of Measurement Part 3.Guidelines for the Expression of Uncertainty in Measurement (GUM.1995)

(GUM.1995)]

Note. GB/T 27418-2017 Evaluation and Expression of Measurement Uncertainty (ISO /IEC Guide 98-3.2008, MOD)

3 Terms and Definitions

As defined in ISO 16610-1, ISO 16610-30, ISO /IEC Guide 99 and ISO /IEC Guide 98-3 and the following terms and definitions

apply to this document.

3.1

Robust planar filter robustplanarfilter

Planar surfaces with specific phenomena (such as sudden jumps, deep valleys, and peaks, etc.) can be separated into large-scale lateral components and small-scale lateral components.

Component nonlinear region filters.

3.2

Cylindrical surfaces with specific phenomena (e.g. peak discontinuities, deep valleys and peaks, etc.) can be separated into large-scale lateral components and small-scale