Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry
Three-dimensional (3D) shape measurement for specular surfaces is becoming increasingly important in various applications. A novel orthogonal dual-frequency fringe is proposed in the specular surface shape measurement to overcome the phase jumping and discontinuities in spatial phase unwrapping. The...
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| Format: | Article |
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MDPI AG
2023-01-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/23/2/674 |
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| author | Zhiming Li Dayi Yin Yuanyu Yang Quan Zhang Huixing Gong |
| author_facet | Zhiming Li Dayi Yin Yuanyu Yang Quan Zhang Huixing Gong |
| author_sort | Zhiming Li |
| collection | DOAJ |
| description | Three-dimensional (3D) shape measurement for specular surfaces is becoming increasingly important in various applications. A novel orthogonal dual-frequency fringe is proposed in the specular surface shape measurement to overcome the phase jumping and discontinuities in spatial phase unwrapping. The fringe recalibrated high-accuracy phase information from its high-frequency fringe component with low-ambiguity phase information from its low-frequency fringe component. An improved Fourier transform deflectometry method based on the orthogonal dual-frequency fringe is proposed to measure 3D specular surface shapes. Simulation results showed that the orthogonal dual-frequency Fourier transform deflectometry (ODD) method could precisely reconstruct flat surfaces with an error of 2.16 nm rms, and concave surfaces with an error of 1.86 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">m</mi></mrow></mrow></semantics></math></inline-formula> rms. Experimental results showed that the reconstructed shapes of both the flat mirror and the concave mirror measured by the ODD measurement system were highly comparable to those obtained by the phase-measuring deflectometry (PMD) method. This new fringe provides a distinctive approach to structured pattern construction and reduces the phase unwrapping ambiguities in specular surface shape measurement. The ODD method can achieve accurate 3D shape measurement for specular surfaces by sampling only one fringe, providing a possible basis for future real-time measurement of specular surfaces. |
| first_indexed | 2024-03-09T11:18:24Z |
| format | Article |
| id | doaj.art-910fd5930d864dfaae1b48c854fbe411 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-09T11:18:24Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-910fd5930d864dfaae1b48c854fbe4112023-12-01T00:25:37ZengMDPI AGSensors1424-82202023-01-0123267410.3390/s23020674Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform DeflectometryZhiming Li0Dayi Yin1Yuanyu Yang2Quan Zhang3Huixing Gong4Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, ChinaShanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, ChinaShanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, ChinaShanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, ChinaShanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, ChinaThree-dimensional (3D) shape measurement for specular surfaces is becoming increasingly important in various applications. A novel orthogonal dual-frequency fringe is proposed in the specular surface shape measurement to overcome the phase jumping and discontinuities in spatial phase unwrapping. The fringe recalibrated high-accuracy phase information from its high-frequency fringe component with low-ambiguity phase information from its low-frequency fringe component. An improved Fourier transform deflectometry method based on the orthogonal dual-frequency fringe is proposed to measure 3D specular surface shapes. Simulation results showed that the orthogonal dual-frequency Fourier transform deflectometry (ODD) method could precisely reconstruct flat surfaces with an error of 2.16 nm rms, and concave surfaces with an error of 1.86 <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi mathvariant="sans-serif">μ</mi><mi mathvariant="normal">m</mi></mrow></mrow></semantics></math></inline-formula> rms. Experimental results showed that the reconstructed shapes of both the flat mirror and the concave mirror measured by the ODD measurement system were highly comparable to those obtained by the phase-measuring deflectometry (PMD) method. This new fringe provides a distinctive approach to structured pattern construction and reduces the phase unwrapping ambiguities in specular surface shape measurement. The ODD method can achieve accurate 3D shape measurement for specular surfaces by sampling only one fringe, providing a possible basis for future real-time measurement of specular surfaces.https://www.mdpi.com/1424-8220/23/2/674orthogonal dual-frequency fringethree-dimensional shape measurementFourier transform deflectometryspecular surface measurement |
| spellingShingle | Zhiming Li Dayi Yin Yuanyu Yang Quan Zhang Huixing Gong Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry Sensors orthogonal dual-frequency fringe three-dimensional shape measurement Fourier transform deflectometry specular surface measurement |
| title | Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry |
| title_full | Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry |
| title_fullStr | Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry |
| title_full_unstemmed | Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry |
| title_short | Specular Surface Shape Measurement with Orthogonal Dual-Frequency Fourier Transform Deflectometry |
| title_sort | specular surface shape measurement with orthogonal dual frequency fourier transform deflectometry |
| topic | orthogonal dual-frequency fringe three-dimensional shape measurement Fourier transform deflectometry specular surface measurement |
| url | https://www.mdpi.com/1424-8220/23/2/674 |
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