Analysis of the boundary conditions of the spline filter

Tong, Mingsi; Zhang, Hao; Ott, Daniel; Zhao, Xuezeng; Song, Junyeob

doi:10.1088/0957-0233/26/9/095001

Cited by 9 publications

(12 citation statements)

References 9 publications

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“…The edge-effect can also be reduced when high-order spline [ 35 ] approaches are used, which is a typical example of an extension of the spline filtering [ 36 ]. Fourteen different combinations of boundary conditions of the spline filter [ 37 ], wavelets or its combinations [ 38 ] were thoroughly analyzed and compared to provide satisfactory end-data analysis. Areal spline filtering was compared with Gaussian approaches or extended Tetrolet transform [ 39 ].…”

Section: Introductionmentioning

confidence: 99%

Suppression of the High-Frequency Errors in Surface Topography Measurements Based on Comparison of Various Spline Filtering Methods

Podulka

2021

Materials

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The metrology of so-called “engineering surfaces” is burdened with a substantial risk of both measurement and data analysis errors. One of the most encouraging issues is the definition of frequency-defined measurement errors. This paper proposes a new method for the suppression and reduction of high-frequency measurement errors from the surface topography data. This technique is based on comparisons of alternative types of noise detection procedures with the examination of profile (2D) or surface (3D) details for both measured and modelled surface topography data. In this paper, the results of applying various spline filters used for suppressions of measurement noise were compared with regard to several kinds of surface textures. For the purpose of the article, the influence of proposed approaches on the values of surface topography parameters (from ISO 25178 for areal and ISO 4287 for profile standards) was also performed. The effect of the distribution of some features of surface texture on the results of suppressions of high-frequency measurement noise was also closely studied. Therefore, the surface topography analysis with Power Spectral Density, Autocorrelation Function, and novel approaches based on the spline modifications or studies of the shape of an Autocorrelation Function was presented.

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Section: Introductionmentioning

confidence: 99%

Suppression of the High-Frequency Errors in Surface Topography Measurements Based on Comparison of Various Spline Filtering Methods

Podulka

2021

Materials

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“…The Gaussian band pass filter used for the breech face impressions had cutoff wavelengths of 10 μm and 200 μm and the firing pin impressions were filtered using cutoff wavelengths of 1.6 μm and 110 μm. The high pass filter used for the firing pin impressions is a spline filter with modified boundary conditions intended to remove edge effects that occur at the perimeters of a domain [14]. …”

Section: Introductionmentioning

confidence: 99%

Applying 3D measurements and computer matching algorithms to two firearm examination proficiency tests

Ott

Thompson

Song

2017

Forensic Science International

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In order for a crime laboratory to assess a firearms examiner’s training, skills, experience, and aptitude, it is necessary for the examiner to participate in proficiency testing. As computer algorithms for comparisons of pattern evidence become more prevalent, it is of interest to test algorithm performance as well, using these same proficiency examinations. This article demonstrates the use of the Congruent Matching Cell (CMC) algorithm to compare 3D topography measurements of breech face impressions and firing pin impressions from a previously distributed firearms proficiency test. In addition, the algorithm is used to analyze the distribution of many comparisons from a collection of cartridge cases used to construct another recent set of proficiency tests. These results are provided along with visualizations that help to relate the features used in optical comparisons by examiners to the features used by computer comparison algorithms.

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“…26. End effects are thought to be excluded by selecting appropriate initial values for the filter difference equations in the recursive implementation of Gaussian filters [52] and is also claimed to have been erased by improving boundary condition in spline filters [18]. Since open profiles or surfaces are asymmetric and aperiodic, neither symmetric nor periodic expansions can represent the real situation.…”

Section: Discussion On End Effectsmentioning

confidence: 99%

“…To overcome this problem, many efforts have been made [11]- [16], and the profile spline filter was recommended as a further substitute for the profile Gaussian filter [17]. By applying an optimal boundary condition [18], the end effect is well compressed. And the filtering calculation efficiency is sped up by the matrix factorization algorithm [19].…”

Section: Introductionmentioning

confidence: 99%

An Isotropic Areal Filter Based on High-Order Thin-Plate Spline for Surface Metrology

et al. 2019

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Isotropy, end effect suppression, calculation efficiency and robustness are basic requirements of areal filters for surface metrology. However, current areal filters cause problems in different aspects, which cripples the operation of surface metrology like roughness evaluation. In this paper, a high-order thin-plate spline (TPS) filter is proposed to construct a real isotropic areal spline filter with minimum end effects and high efficiency, aiming to provide a more universal and efficient topography filtration method. The new filter is structured by approximating Gaussian filter to ensure uniform transmission characteristics. The robust algorithm is derived to process surface data with outliers and defects. A fast implementation is also provided in this paper. Performances of various areal metrology filters are illustrated by processing both simulated and practical surfaces, through which the proposed high-order TPS filter herein manifests real isotropy, higher calculation efficiency, slighter end effect as well as robustness comparing to current areal surface metrology filters. Comparing with the ISO 16610-61, the new areal filter can obtain more ideal results, therefore it can take the place of ISO 16610-61 on most occasions.INDEX TERMS Areal spline filter, isotropy, high-order thin-plate spline, end effect, surface metrology.

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Analysis of the boundary conditions of the spline filter

Cited by 9 publications

References 9 publications

Suppression of the High-Frequency Errors in Surface Topography Measurements Based on Comparison of Various Spline Filtering Methods

Suppression of the High-Frequency Errors in Surface Topography Measurements Based on Comparison of Various Spline Filtering Methods

Applying 3D measurements and computer matching algorithms to two firearm examination proficiency tests

An Isotropic Areal Filter Based on High-Order Thin-Plate Spline for Surface Metrology

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