A Fast Algorithm for Determining the Gaussian Filter Mean Line in Surface Metrology

Published: January 01, 2000


Y B. Yuan, X F. Qiang, Jun-Feng Song, Theodore V. Vorburger


A fast algorithm for assessing the Gaussian filtered mean line was deduced using the central limit theorem and an approximation method. This algorithm only uses simple computer operations such as addition, subtraction and digit shifting, and avoids complicated ones such as multiplication and division, and therefore, can achieve a very high speed and accuracy without phase distortion. A new relationship between the Gaussian filtering method and the classical 2RC filtering method was also established using this algorithm.
Citation: Precision Engineering-Journal of the International Societies for Precision Engineering and Nanotechnology
Volume: 24
Issue:  No. 1
Pub Type: Journals


digital filter, Gaussian filter, mean line, surface
Created January 01, 2000, Updated February 19, 2017