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Related Experiment Video

Updated: Mar 24, 2026

Micro/Nano-scale Strain Distribution Measurement from Sampling Moiré Fringes
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A Simple and Fast Spline Filtering Algorithm for Surface Metrology.

Hao Zhang1, Daniel Ott2, John Song2

  • 1College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, 210037, China; National Institute of Standards and Technology, Gaithersburg, MD 20899 USA.

Journal of Research of the National Institute of Standards and Technology
|March 10, 2016
PubMed
Summary
This summary is machine-generated.

A new spline filter algorithm simplifies surface evaluation, offering an easier implementation than traditional iterative methods. This approach enhances efficiency and convenience for engineers adhering to International Organization for Standardization standards.

Keywords:
discrete Fourier transformdiscrete cosine transformspline filtersurface metrology

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Area of Science:

  • Metrology and Surface Engineering
  • Computational Geometry

Background:

  • Spline filters are integral to International Organization for Standardization (ISO) standards for surface evaluation.
  • Current methods, often iterative and based on Cholesky decomposition, are complex to implement despite their efficiency.

Purpose of the Study:

  • To introduce a novel, simplified spline-filter algorithm.
  • To improve the ease of implementation for surface evaluation filters.

Main Methods:

  • The new algorithm utilizes the discrete cosine transform (DCT) or discrete Fourier transform (DFT).
  • It replaces complex iterative solutions with a more direct transform-based approach.

Main Results:

  • The proposed algorithm demonstrates conceptual simplicity.
  • It offers significantly improved convenience in implementation compared to existing methods.

Conclusions:

  • The DCT/DFT-based spline-filter algorithm provides a practical and user-friendly alternative.
  • This innovation facilitates wider adoption and application of standardized surface evaluation techniques.