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三维表面测量中的高斯滤波快速算法
引用本文:张静,张浩.三维表面测量中的高斯滤波快速算法[J].工具技术,2011,45(9):83-86.
作者姓名:张静  张浩
作者单位:1. 解放军理工大学理学院,211101南京市
2. 南京林业大学
摘    要:基于中心极限定理提出了一个高斯滤波器逼近模型,并利用冲激响应不变法设计了数字高斯滤波器.通过级联方法,该滤波器的幅度传输特性偏差可控制在(-0.28%~+1.14%)以内,扩展为二维高斯滤波器,其三维幅度传输特性偏差可控制在(-0.42%~+1.12%)以内.该滤波器采用递归实现算法,算法简便,易于实现.在递归算法的基...

关 键 词:计量学  表面粗糙度  二维高斯滤波器  边缘效应

Fast Gaussian Filtering Algorithm for 3D Surface Measurement
Zhang Jing,Zhang Hao.Fast Gaussian Filtering Algorithm for 3D Surface Measurement[J].Tool Engineering(The Magazine for Cutting & Measuring Engineering),2011,45(9):83-86.
Authors:Zhang Jing  Zhang Hao
Affiliation:Zhang Jing,Institute of Science,PLA University of Science and Technology,Nanjing 211101,China,Zhang Hao
Abstract:Based on the central limit theorem,an approximation model of Gaussian filter is put forward.Then,a digital Gaussian filter is designed by combination with impulse invariant transformation and this model.Through the cascaded way,the amplitude transmission deviation of this filter can be controlled within (-0.28%~+1.14%).When extended to a two-dimensional(2D) Gaussian filter,the deviation of three-dimensional(3D) transmission characteristic can be controlled within(-0.42%~+1.12%).Its recursive algorithm is so simple that it is implemented easily.A method of forecasting the initial value of the edge is proposed to restrain the end effect caused by this recursive algorithm.Experimental results show that this filter can extract the reference surface of 3D surface stably and reliably,once extraction of 2000×2000 3D sampled data on a general computer only consumes 7s,efficiency is demonstrated.
Keywords:metrology  surface roughness  2D-Gaussian filter  end effect  
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