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Proceedings Paper

A fast algorithm of Gaussian filtering for three-dimensional surface topography
Author(s): Jingbo Xu; Yibao Yuan
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Paper Abstract

The 2D Gaussian filter was realized in approximation method. A fast algorithm of 2D Gaussian filtering is presented to determine the reference surface for 3D surface topography. The 2D Gaussian filter can be separated into two 1D Gaussian filters, an x-direction Gaussian filter and a y-direction Gaussian filter. A 1D Gaussian filter can be implemented approximately by the cascaded moving average filters. More cascaded moving average filters result in higher filtering accuracy. A recursive algorithm for 2D Gaussian filtering is deduced from a moving average algorithm. This algorithm requires only some simple mathematical operations such as addition, subtraction and a small number of multiplications, so that it has considerable computational efficiency which is very important for 3D surface topography measurement.

Paper Details

Date Published: 20 February 2006
PDF: 7 pages
Proc. SPIE 6041, ICMIT 2005: Information Systems and Signal Processing, 60411C (20 February 2006); doi: 10.1117/12.664330
Show Author Affiliations
Jingbo Xu, Harbin Institute of Technology (China)
Yibao Yuan, Harbin Institute of Technology (China)

Published in SPIE Proceedings Vol. 6041:
ICMIT 2005: Information Systems and Signal Processing
Yunlong Wei; Kil To Chong; Takayuki Takahashi, Editor(s)

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