Geometrical product specifications (GPS). Filtration - Linear profile filters: Wavelets
Geometrical product specifications (GPS). Filtration - Linear profile filters: Wavelets
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Geometrical product specifications (GPS). Filtration - Linear profile filters: Wavelets

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What is ISO 16610-29- Wavelets about? 

ISO 16610-29 specifies biorthogonal wavelets for profiles and contains the relevant concepts.  

ISO 16610-29 gives the basic terminology for biorthogonal wavelets of compact support, together with their usage.  

Who is ISO 16610-29 - Wavelets for?  

ISO 16610-29 on linear profile filters is beneficial for: 

  • Manufacturers of measuring instruments 
  • Electronics engineers 
  • People working for transmission technology 
  • Telecommunications industries 
  • Designers and metrologists 
  • Chemical engineers 
  • Geoscience data processors 

Why should you use ISO 16610-29 - Wavelets? 

ISO 16610-29 is a geometrical product specification (GPS) standard and is to be regarded as a general GPS standard.  

ISO 16610-29 influences chain-link C of the chains of standards on profile and areal surface texture. ISO 16610-29 develops the terminology and concepts for wavelets. Wavelet analysis consists of decomposing a profile into a linear combination of wavelets ga,b(x), all generated from a single mother wavelet. This is like Fourier analysis, which decomposes a profile into a linear combination of sinewaves. In ISO 16610-29 a cubic b-spline function is used, which has compact support. The lifting scheme is used to define a fast in-place wavelet transform. Starting with the original profile, each rung in the multiresolution ladder is calculated from the previous rung in three stages. These stages are called: 

  • Splitting 
  • Prediction 
  • Updating 

Overall, ISO 16610-29 is useful as it provides guidance on lifting schemes which uses cubic interpolation for the wavelet transform. ISO 16610-29 defines the basic terminology for spline wavelets filters. 

What’s changed since the last update? 

BS EN ISO 16610-29:2020 supersedes BS EN ISO 16610-29:2015, which is withdrawn. 

BS EN ISO 16610-29:2020 cancels and replaces the first edition (ISO 16610-29:2015), which has been technically revised. 

The main changes compared to the previous edition are as follows: 

  • The terminology and requirements around wavelets have been clarified and expanded to cover biorthogonal wavelets more fully 
  • The requirements for cubic prediction wavelets are set out in Annex A 
  • The requirements for cubic b-spline wavelets are given in Annex B