NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

A simple and fast spline filtering algorithm for surface metrology

Published

Author(s)

Hao H. Zhang, Daniel B. Ott, Jun-Feng Song, D Ott, Wei Chu

Abstract

The spline filters and the corresponding robust filters are commonly used filters recommended in ISO standards for surface evaluation. Generally, these linear and non-linear spline filters, composed of symmetric, positive-definite matrices, are always solved in an iterative fashion based on Cholesky decomposition. They have been demonstrated to be relatively efficient, but complicated and inconvenient to implement. A new algorithm for the spline filter is proposed by means of the discrete cosine transform or the discrete Fourier transform. The algorithm is conceptually simple and very convenient to implement.
Citation
Journal of Research (NIST JRES) -
NIST Pub Series
Journal of Research (NIST JRES)
Pub Type
NIST Pubs

Download Paper

https://doi.org/10.6028/jres.120.010
Local Download

Keywords

Surface metrology, Spline filter, Discrete cosine transform, Discrete Fourier transform
Process measurement and control, Forensic Science and Firearms and toolmarks

Citation

Zhang, H. , Ott, D. , Song, J. , Ott, D. and Chu, W. (2015), A simple and fast spline filtering algorithm for surface metrology, Journal of Research (NIST JRES), National Institute of Standards and Technology, Gaithersburg, MD, [online], https://doi.org/10.6028/jres.120.010, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=918312 (Accessed October 30, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created July 13, 2015, Updated November 14, 2018
Was this page helpful?