Analysis of the boundary conditions of the spline filter. (21st July 2015)

• Record Type: Journal Article
• Authors: Tong, Mingsi; Zhang, Hao; Ott, Daniel; Zhao, Xuezeng; Song, John
• Is Part Of: Measurement science & technology. Volume 26:Number 9(2015:Sep.)
• Publication Date: 2015-07-21
• Subjects: spline filter -- end-effect -- boundary condition -- filtration -- surface metrology; Physical measurements -- Periodicals; Scientific apparatus and instruments -- Periodicals; Equipment and Supplies -- Periodicals; Science -- instrumentation -- Periodicals; Technology -- instrumentation -- Periodicals; Mesures physiques -- Périodiques; Physical measurements; Scientific apparatus and instruments; Periodicals; 502.87
• DOI: 10.1088/0957-0233/26/9/095001
• Languages: English
• ISSNs: 0957-0233

Abstract

Abstract: The spline filter is a standard linear profile filter recommended by ISO/TS 16610–22 (2006). The main advantage of the spline filter is that no end-effects occur as a result of the filter. The ISO standard also provides the tension parameter to make the transmission characteristic of the spline filter approximately similar to the Gaussian filter. However, when the tension parameter β is not zero, end-effects appear. To resolve this problem, we analyze 14 different combinations of boundary conditions of the spline filter and propose a set of new boundary conditions in this paper. The new boundary conditions can provide satisfactory end portions of the output form without end-effects for the spline filter while still maintaining the value of .