Fast Three-Dimensional Morphological Reconstruction Algorithm of Phase objects Based on Orthogonal Sampling

Ying Ji; Jinbin Huang; Xiang Li; Yawei Wang

doi:10.3788/AOS202141.2312006

Acta Optica Sinica, Volume. 41, Issue 23, 2312006(2021)

Fast Three-Dimensional Morphological Reconstruction Algorithm of Phase objects Based on Orthogonal Sampling

Ying Ji^1、*, Jinbin Huang¹, Xiang Li², and Yawei Wang¹

Author Affiliations

¹School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang, Jiangsu 212013, China

²College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen, Guangdong 518061, China

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Figures & Tables(15)

Fig. 1. Flow chart of fast three-dimensional morphological reconstruction algorithm based on two orthogonal phase images

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$Nucleated cell model for concentric ellipsoid simulation in two media. (a) Schematic diagram of model space structure; (b) refractive index distribution of model; (c) phase shift distribution of model in XOY plane$

Fig. 2. Nucleated cell model for concentric ellipsoid simulation in two media. (a) Schematic diagram of model space structure; (b) refractive index distribution of model; (c) phase shift distribution of model in XOY plane

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Fig. 3. Gradient distribution of model phase image along X direction shown in fig. 2(c). (a) Gradient processing diagram of cell model phase; (b) phase gradient curve along AD direction of cell model

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Fig. 4. Imaging device of orthogonal interference phase^[22]

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Fig. 5. Schematic of direct linear transformation algorithm

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Fig. 6. Contour reconstruction image of two-medium concentric ellipsoid model

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Fig. 7. Three-dimensional shape reconstruction result of concentric ellipsoid phase volume model based on phase data along Y direction

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Fig. 8. Two-medium eccentric sphere model. (a) Schematic diagram of model space structure; (b) phase map of model in XOZ plane; (c) phase map of model in YOZ plane

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Fig. 9. Three-dimensional shape reconstruction result of eccentric phase volume model based on phase data along Y direction

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Fig. 10. Three-dimensional reconstruction result of polystyrene microsphere

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Table 1. Orthogonal boundary point coordinates of two-medium concentric ellipsoid model

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Table 1. Orthogonal boundary point coordinates of two-medium concentric ellipsoid model

Serial number	Light along Y direction		Light along Z direction
Serial number	XOZ projection facecoordinate x /pixle	XOZ projection facecoordinate z /pixle	XOY projection face coordinate x /pixle	XOY projection facecoordinates y /pixle
1	116	40	119	27
2	142	40	139	27
3	108	41	111	28
4	150	41	147	28
5	102	42	105	29
6	156	42	153	29
︙	︙	︙	︙	︙

Table 2. Control point coordinates of two-medium concentric ellipsoid model in different orthogonal directions

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Table 2. Control point coordinates of two-medium concentric ellipsoid model in different orthogonal directions

Serialnumber	XOZ projection face coordinate		XOY projection face coordinate		Spatial coordinate
Serialnumber	x /pixle	z /pixle	x /pixle	y /pixle	X /μm	Y /μm	Z /μm
1	210	174	210	180	12.7	8	7
2	210	84	210	180	12.7	8	-7
3	210	174	210	78	12.7	-8	7
4	210	84	210	78	12.7	-8	-7
5	48	174	48	180	-12.7	8	7
6	48	84	48	180	-12.7	8	-7
︙	︙	︙	︙	︙	︙	︙	︙

Table 3. Contour extraction results of two-medium concentric ellipsoid model

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Table 3. Contour extraction results of two-medium concentric ellipsoid model

Direction	Spheroid axis long		Ball diameter		Δn_1m		Δn₂₁		Rebuildingtime /s
Direction	Solutionvalue /μm	Error /%	Solutionvalue /μm	Error /%	Solutionvalue /μm	Error /%	Solutionvalue /μm	Error /%	Rebuildingtime /s
X	37.7	4.7	8.4	5.0	0.029	3.3	0.086	4.4
Z	28.0	0	7.9	1.25	0.03	0	0.092	2.2	0.48

Table 4. Reconstruction data of tow-medium eccentric sphere model
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Table 4. Reconstruction data of tow-medium eccentric sphere model
Direction ThicknessΔh₁ /μm Refractive indexdifference Δn₁₀ ThicknessΔh₂ /μm Refractive indexdifference Δn₂₁ Time /s
Standard 8.0 0.03 4.0 0.09
Z 8.1 0.029 4.01 0.089 0.21
Error /% 1.25 3.33 0.25 0.11

Table 5. Three-dimensional shape reconstruction information of polystyrene microsphere
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Table 5. Three-dimensional shape reconstruction information of polystyrene microsphere
Parameter ThicknessΔh₁ /μm Refractive indexdifference n₁₀ Time /s
Standard 8.0 0.1698
Value 7.8 0.1657 0.19
Error /% 2.5 2.4

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Ying Ji, Jinbin Huang, Xiang Li, Yawei Wang. Fast Three-Dimensional Morphological Reconstruction Algorithm of Phase objects Based on Orthogonal Sampling[J]. Acta Optica Sinica, 2021, 41(23): 2312006

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Paper Information

Category: Instrumentation, Measurement and Metrology

Received: Apr. 22, 2021

Accepted: Jul. 6, 2021

Published Online: Nov. 29, 2021

The Author Email: Ji Ying (jy@ujs.edu.cn)

DOI:10.3788/AOS202141.2312006

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Orthogonal boundary point coordinates of two-medium concentric ellipsoid model

Table 1. Orthogonal boundary point coordinates of two-medium concentric ellipsoid model

Table 2. Control point coordinates of two-medium concentric ellipsoid model in different orthogonal directions

Table 2. Control point coordinates of two-medium concentric ellipsoid model in different orthogonal directions

Table 3. Contour extraction results of two-medium concentric ellipsoid model

Table 3. Contour extraction results of two-medium concentric ellipsoid model

Table 4. Reconstruction data of tow-medium eccentric sphere model

Table 4. Reconstruction data of tow-medium eccentric sphere model

Table 5. Three-dimensional shape reconstruction information of polystyrene microsphere

Table 5. Three-dimensional shape reconstruction information of polystyrene microsphere