A fast Gaussian filtering algorithm for three-dimensional surface roughness measurements
The two-dimensional (2-D) Gaussian filter can be separated into two one-dimensional (1-D) Gaussian filters. The 1-D Gaussian filter can be implemented approximately by the cascaded Butterworth filters. The approximation accuracy will be improved with the increase of the number of the cascaded filters. a recursive algorithm for Gaussian filtering requires a relatively small number of simple mathematical operations such as addition, subtraction, multiplication, or division, so that it has considerable computational efficiency and it is very useful for three-dimensional (3-D) surface roughness measurements. The zero-phase-filtering technique is used in this algorithm, so there is no phase distortion in the Gaussian filtered mean surface. High-order approximation Gaussian filters are proposed for practical use to assure high accuracy of Gaussian filtering of 3-D surface roughness measurements.
Y B Yuan W Y Piao J B Xu
Harbin Institute of Technology (HIT), Harbin, China, 150001
国际会议
第四届仪器科学与技术国际会议( 4th International Symposium on Instrumentation and Science and Tcchnology)
哈尔滨
英文
1401-1406
2006-08-08（万方平台首次上网日期，不代表论文的发表时间）