Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation
Isotropy is an important feature of an area filter in the three-dimensional surface roughness evaluation. First, the transmission characteristic deviation between the approximating spline filter and the Gaussian filter is reduced by cascading approximating. Second, the approximating spline filter is...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/11/2/761 |
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| author | Baofeng He Haibo Zheng Ruizhao Yang Zhaoyao Shi |
| author_facet | Baofeng He Haibo Zheng Ruizhao Yang Zhaoyao Shi |
| author_sort | Baofeng He |
| collection | DOAJ |
| description | Isotropy is an important feature of an area filter in the three-dimensional surface roughness evaluation. First, the transmission characteristic deviation between the approximating spline filter and the Gaussian filter is reduced by cascading approximating. Second, the approximating spline filter is superimposed on the orthogonal direction to obtain an isotropic areal filter. Then, four direct methods for the solving approximating spline matrix are applied. Based on the profile filtering and areal filtering, the computational efficiency and accuracy are compared. The experimental results show that the improved square root method (LDLT decomposition) combines both computational efficiency and filtering precision, and is a good choice for solving the approximating spline matrix. Finally, six kinds of robust approximating spline filters are constructed. Taking the output value of robust Gaussian regression filter (RGRF) as reference, and the honing profile and step surface with deep valley characteristics were used as test surfaces to compare their robustness and iteration time. The experimental results show that the approximating spline filter based on the ADRF function has the shortest iteration times, while its roughness is close to the robust Gaussian regression filter. |
| first_indexed | 2024-03-09T04:47:11Z |
| format | Article |
| id | doaj.art-afd9cb9728e946308243e25a4d454e4c |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-09T04:47:11Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-afd9cb9728e946308243e25a4d454e4c2023-12-03T13:14:40ZengMDPI AGApplied Sciences2076-34172021-01-0111276110.3390/app11020761Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness EvaluationBaofeng He0Haibo Zheng1Ruizhao Yang2Zhaoyao Shi3Beijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and manufacturing, Beijing University of Technology, Beijing 100124, ChinaBeijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and manufacturing, Beijing University of Technology, Beijing 100124, ChinaBeijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and manufacturing, Beijing University of Technology, Beijing 100124, ChinaBeijing Engineering Research Center of Precision Measurement Technology and Instruments, Faculty of Materials and manufacturing, Beijing University of Technology, Beijing 100124, ChinaIsotropy is an important feature of an area filter in the three-dimensional surface roughness evaluation. First, the transmission characteristic deviation between the approximating spline filter and the Gaussian filter is reduced by cascading approximating. Second, the approximating spline filter is superimposed on the orthogonal direction to obtain an isotropic areal filter. Then, four direct methods for the solving approximating spline matrix are applied. Based on the profile filtering and areal filtering, the computational efficiency and accuracy are compared. The experimental results show that the improved square root method (LDLT decomposition) combines both computational efficiency and filtering precision, and is a good choice for solving the approximating spline matrix. Finally, six kinds of robust approximating spline filters are constructed. Taking the output value of robust Gaussian regression filter (RGRF) as reference, and the honing profile and step surface with deep valley characteristics were used as test surfaces to compare their robustness and iteration time. The experimental results show that the approximating spline filter based on the ADRF function has the shortest iteration times, while its roughness is close to the robust Gaussian regression filter.https://www.mdpi.com/2076-3417/11/2/761surface roughnessapproximating splinecascade approximatingisotropymatrix algorithmrobustness |
| spellingShingle | Baofeng He Haibo Zheng Ruizhao Yang Zhaoyao Shi Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation Applied Sciences surface roughness approximating spline cascade approximating isotropy matrix algorithm robustness |
| title | Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation |
| title_full | Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation |
| title_fullStr | Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation |
| title_full_unstemmed | Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation |
| title_short | Study on the Performances of an Approximating Spline Filter Based on the ADRF Function in Surface Roughness Evaluation |
| title_sort | study on the performances of an approximating spline filter based on the adrf function in surface roughness evaluation |
| topic | surface roughness approximating spline cascade approximating isotropy matrix algorithm robustness |
| url | https://www.mdpi.com/2076-3417/11/2/761 |
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