Structured Light Encoding and Decoding Algorithm Based on Adjacency-Hopping de Bruijn Sequences

Zhenglin Liang; Bin Chen; Shiqian Wu

doi:10.3788/AOS231652

Journals >Acta Optica Sinica >Volume 44 >Issue 8 >Page 0812002 > Article

Acta Optica Sinica
Vol. 44, Issue 8, 0812002 (2024)

Structured Light Encoding and Decoding Algorithm Based on Adjacency-Hopping de Bruijn Sequences

Zhenglin Liang^1、2, Bin Chen^1、2、*, and Shiqian Wu^1、2

Author Affiliations

¹School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, Hubei , China

²Institute of Robotics and Intelligent Systems, Wuhan University of Science and Technology, Wuhan 430081, Hubei , China

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DOI: 10.3788/AOS231652 Cite this Article Set citation alerts

Zhenglin Liang, Bin Chen, Shiqian Wu. Structured Light Encoding and Decoding Algorithm Based on Adjacency-Hopping de Bruijn Sequences[J]. Acta Optica Sinica, 2024, 44(8): 0812002 Copy Citation Text

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Directed graph G33 on S=0, 1, 2, the path demonstrated by a red directed dotted line is an Eulerian tour

Fig. 1. Directed graph

G_{33}

S = \{0, 1, 2\}

, the path demonstrated by a red directed dotted line is an Eulerian tour

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Relationship between four-step phase-shifting waveform, encoding sequence orders k', and phase orders k

Fig. 2. Relationship between four-step phase-shifting waveform, encoding sequence orders

k^{'}

, and phase orders

k

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Fig. 3. Encoded period order sequences in this paper

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Fig. 4. Generation of color fringe patterns. (a) Four phase-shifting patterns; (b) phase order encoded fringes; (c) four color phase-shifting encoded fringes

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Fig. 5. Fringe borders extraction. (a) Four captured color images; (b) average grayscale image

\bar{\tilde{I}}

; (c) combined gradient curve of a specific scanline in

\bar{\tilde{I}}

; (d) fringe borders

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Fig. 6. Decoding process. (a) Grayscale distribution in a specific scanline of

{\bar{\tilde{I}}}^{G}

and

{\bar{\tilde{I}}}^{B}

; (b) grayscale curves calculated by Eq. (8) from the curve in Fig. 6(a); (c) decoded results

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Fig. 7. Results of color crosstalk compensation. (a) Image before compensation; (b) image after compensation; grayscale values of (c) R channel, (d) G channel, and (e) B channel before and after compensation in a specific scanline

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Fig. 8.

Decoded results of four methods. (a) Adjacency-hopping de Bruijn sequence encoded pattern; (b) de Bruijn sequence encoded pattern; (c) de Bruijn sequence encoded pattern with black slits; (d) encoded pattern of Zhangsmethod^[14]; (e)-(h) images captured by camera and (i)-(l) decoded results of a scanline

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Fig. 9. Measurement of occluded workpieces. (a) Occluded workpiece; (b) rough matching result; (c) corrected result; (d) 3D measurement result

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Fig. 10. Measurement results of a fox mask. (a) Color fringe images captured by camera; (b) wrapped phase

ϕ

; (c) period orders

k

; (d) wrapped phase

ϕ

and period orders

k

in a specific scanline; (e) unwrapped phase

Φ

; (f) 3D measurement result

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Fig. 11. Measurement results of a plaster model. (a) Plaster model to be measured; (b) unwrapped phase

Φ

; (c) 3D measurement result

Zhenglin Liang, Bin Chen, Shiqian Wu. Structured Light Encoding and Decoding Algorithm Based on Adjacency-Hopping de Bruijn Sequences[J]. Acta Optica Sinica, 2024, 44(8): 0812002

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