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

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 BS EN ISO 16610-29:2020 supersedes BS EN ISO 16610-29:2015, which is withdrawn.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