CAJ | 학술논문

将添加了速度项抄s（xi）抄xi 的平滑变分公式引入广义B样条滤波器，通过速度项э s（xi）э xi 来增加数字滤波器传输特性对参数t1，t2的敏感性，推导出一个小尺度且能够快速逼近高斯滤波的平滑数字滤波器，并且讨论在不同截止角频率ωc 下文中算法与标准高斯滤波器的逼近程度。最后对一个长度为19000的实测轮廓数据进行滤波，实验结果表明：该滤波器一定程度上抑制了传统高斯滤波边界畸变的缺陷，且响应时间短，整个过程耗时1．6ms，仅为传统高斯滤波的1/40，为工程表面滤波提供了一种新方法。
장첨가료속도항초s（xi）초xi 적평활변분공식인입엄의B양조려파기，통과속도항э s（xi）э xi 래증가수자려파기전수특성대삼수t1，t2적민감성，추도출일개소척도차능구쾌속핍근고사려파적평활수자려파기，병차토론재불동절지각빈솔ωc 하문중산법여표준고사려파기적핍근정도。최후대일개장도위19000적실측륜곽수거진행려파，실험결과표명：해려파기일정정도상억제료전통고사려파변계기변적결함，차향응시간단，정개과정모시1．6ms，부위전통고사려파적1/40，위공정표면려파제공료일충신방법。
It introduces the smooth variational formula with speed item э s(xi)э xi into the Generalized B-spline fil-ter, so as to increase the sensitivity of the parameter of generalized B -spline t1 ,t2 to the transmission characteris-tic of the final digital filter , and deduce a fast smooth digital filter which is the approximation to the Gaussian fil-ter with small scale .It discusses the amplitude -deviation between the introduced algorithm and standard Gauss-ian filter in different cut -off angle frequencyωc .Appling the smooth digital filter to a measured profile contained 19000 data points , it obtains the result .The data show that the filter restrains the boundary distortion to some ex-tent which always happens in traditional Gaussian filtering .The whole procedure is merely 1.6ms, which means it has a fast response time .The conclusion provides a new method for the practical engineering surface filtering .