title: A Simple and Fast Spline Filtering Algorithm for Surface Metrology.
abstract: Spline filters and their corresponding robust filters are commonly used filters recommended in ISO (the International Organization for Standardization) standards for surface evaluation. Generally, these linear and non-linear spline filters, composed of symmetric, positive-definite matrices, are solved in an iterative fashion based on a Cholesky decomposition. They have been demonstrated to be relatively efficient, but complicated and inconvenient to implement. A new spline-filter algorithm is proposed by means of the discrete cosine transform or the discrete Fourier transform. The algorithm is conceptually simple and very convenient to implement.
authors.affiliation: College of Mechanical and Electronic Engineering, Nanjing Forestry University, Nanjing, 210037, China; National Institute of Standards and Technology, Gaithersburg, MD 20899 USA.
authors.forename: Hao
authors.initials: H
authors.lastname: Zhang
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899 USA.
authors.forename: Daniel
authors.initials: D
authors.lastname: Ott
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899 USA.
authors.forename: John
authors.initials: J
authors.lastname: Song
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899 USA; School of Mechatronics Engineering, Harbin Institute of Technology, Harbin, 150001, China.
authors.forename: Mingsi
authors.initials: M
authors.lastname: Tong
authors.affiliation: National Institute of Standards and Technology, Gaithersburg, MD 20899 USA.
authors.forename: Wei
authors.initials: W
authors.lastname: Chu
keywords: discrete Fourier transform; discrete cosine transform; spline filter; surface metrology