Yibao Yuan

Work place: Harbin Institute of Technology, Harbin, China

E-mail: Yibaoyuan2008@yahoo.cn

Website:

Research Interests: Physics, Computational Physics

Biography

Yibao Yuan was born in Qidong, in 1964. He received the MS and PHD degrees from Harbin Institute of Technology, China, in 1987 and 1997, respectively.From 1997 to 2000, he worked as a guest scientist in the National Institute of Standards and Technology (NIST), Maryland, USA. Currently, he is a full professor of the School of Electrical engineering and Automation at HIT. His primary research interests are surface metrology, optical or electrical transducer, and precision instruments.

Author Articles
Approximating Spline filter: New Approach for Gaussian Filtering in Surface Metrology

By Hao Zhang Yibao Yuan

DOI: https://doi.org/10.5815/ijigsp.2009.01.02, Pub. Date: 8 Oct. 2009

This paper presents a new spline filter named approximating spline filter for surface metrology. The purpose is to provide a new approach of Gaussian filter and evaluate the characteristics of an engineering surface more accurately and comprehensively. First, the configuration of approximating spline filter is investigated, which describes that this filter inherits all the merits of an ordinary spline filter e.g. no phase distortion and no end distortion. Then, the approximating coefficient selection is discussed, which specifies an important property of this filter-the convergence to Gaussian filter. The maximum approximation deviation between them can be controlled below 4.36% , moreover, be decreased to less than 1% when cascaded. Since extended to 2 dimensional (2D) filter, the transmission deviation yields within -0.63% : +1.48% . It is proved that the approximating spline filter not only achieves the transmission characteristic of Gaussian filter, but also alleviates the end effect on a data sequence. The whole computational procedure is illustrated and applied to a work piece to acquire mean line whereas a simulated surface to mean surface. These experimental results indicate that this filtering algorithm for 11200 profile points and 2000 × 2000 form data, only spends 8ms and 2.3s respectively.

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