Experimental Sampling Strategy for Rapid Extraction of Morphological Features Based on Phase Edge Detection

Ying Ji; Xinyu Wei; Mingming Zhang; Yawei Wang

doi:10.3788/LOP202259.0617030

Laser & Optoelectronics Progress, Volume. 59, Issue 6, 0617030(2022)

Experimental Sampling Strategy for Rapid Extraction of Morphological Features Based on Phase Edge Detection

Ying Ji^1、*, Xinyu Wei¹, Mingming Zhang², and Yawei Wang¹

Author Affiliations

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

²School of Mechanical Engineering, Jiangsu University, Zhenjiang , Jiangsu 212013, China

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Figures & Tables(13)

Fig. 1. Simulation of cellular models. (a) Nucleated cell model; (b) physical thickness of the model at point A along the direction of light incidence; (c) phase distribution of the model

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Fig. 2. Gradient data of phase for cellular models. (a) Gradient processing distribution of the cell model phase; (b) gradient distribution curve of the model along the AD direction

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Fig. 3. Processing results of edge detection operator in cell model. (a) $\partial^{2} φ / \partial x^{2}$ distribution of model phase; (b) ${|\partial φ / \partial x|}^{2}$ distribution of model phase; (c) Canny distribution of model phase; (d) $\partial^{2} φ / \partial x^{2}$ curve of the model along the AD direction; (e) ${|\partial φ / \partial x|}^{2}$ curve of the model along the AD direction; (f) Canny curve of the model along the AD direction

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Fig. 4. Gradient processing results of polystyrene microspheres. (a) Fluorescence imaging of polystyrene fluorescent microspheres; (b) phase distribution of microspheres; (c) phase gradient distribution of microspheres; (d) curve of microsphere gradient distribution in the B₁B₃ direction; (e) curve of microsphere gradient distribution in the B₄B₂ direction

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Fig. 5. Laplacian processing results of polystyrene microspheres. (a) Laplacian processing result of polystyrene microsphere phase; (b) distribution curve of microspheres along the B₁B₃ direction; (c) distribution curve of microspheres along the B₄B₂ direction

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Fig. 6. Processing results of the phase of polystyrene microspheres. (a) Processing results of Canny operator for the phase distribution of polystyrene microspheres; (b) processing results of ${|\partial φ / \partial x|}^{2}$ operator for the phase distribution of polystyrene microspheres

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Fig. 7. Phase analysis of onion epidermal cells using gradient operator. (a) Fluorescence microscopy of onion epidermal cell; (b) bright field map of onion epidermal cell; (c) phase map of onion epidermal cell; (d) $\partial φ / \partial x$ distribution of onion epidermal cell phase; (e) $\partial φ / \partial x$ distribution curve of onion epidermal cell along C₁C₃ direction; (f) $\partial φ / \partial x$ distribution curve of onion epidermal cell along C₄C₂ direction

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Fig. 8. Phase analysis of onion epidermal cells using Laplacian operator. (a) $\partial^{2} φ / \partial x^{2}$ distribution of onion epidermal cell phases; (b) $\partial^{2} φ / \partial x^{2}$ distribution curve of cells along the C₁C₃ direction; (c) $\partial^{2} φ / \partial x^{2}$ distribution curve of cells along the C₄C₂ direction

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Table 1. Size analysis of sampling under different feature points in the sample model

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Table 1. Size analysis of sampling under different feature points in the sample model

Parameter	A₁‒D₁ （start point）	A₂‒D₂ （peak point）	B₁‒C₁ （start point）	B₂‒C₂ （peak point）
Pixel coordinate	32‒225	34‒223	102‒155	104‒153
Theoretical value /μm	30.00	30.00	8.00	8.00
Measured value /μm	30.27	29.65	8.31	7.69
Absolute error /μm	0.27	-0.35	0.31	-0.31
Relative error /%	0.90	1.17	1.03	1.03
Elapsed time /s	0.472

Table 2. Size analysis of polystyrene microspheres at different sampling points under phase gradient distribution

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Table 2. Size analysis of polystyrene microspheres at different sampling points under phase gradient distribution

Parameter	B₁₁‒B₃₁ （start point）	B₁₂‒B₃₂ （peak point）	B₄₁‒B₂₁ （start point）	B₄₂‒B₂₂ （peak point）
Pixel coordinate	376‒429	391‒414	207‒260	221‒243
Theoretical value /μm	4.236	4.236	4.236	4.236
Measured value /μm	7.844	3.404	7.844	3.256
Absolute error /μm	3.608	0.832	3.608	0.980
Relative error /%	85.17	19.64	85.17	23.14
Elapsed time /s	0.551

Table 3. Size analysis of polystyrene microspheres at different sampling points under phase Laplacian processing distribution

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Table 3. Size analysis of polystyrene microspheres at different sampling points under phase Laplacian processing distribution

Parameter	B₁₁‒B₃₁ （start point）	B₁₂‒B₃₂ （peak point）	B₄₁‒B₂₁ （start point）	B₄₂‒B₂₂ （peak point）
Pixel coordinate	387‒418	395‒411	216‒248	224‒239
Theoretical value /μm	4.236	4.236	4.236	4.236
Measured value /μm	4.588	2.368	4.736	2.220
Absolute error /μm	0.352	-1.868	0.500	-2.016
Relative error /%	8.310	44.098	11.80	47.592
Elapsed time /s	0.675

Table 4. Size analysis of onion epidermal cell nucleus under phase gradient treatment

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Table 4. Size analysis of onion epidermal cell nucleus under phase gradient treatment

Parameter	C₁₁‒C₃₁ （start point）	C₁₂‒C₃₂ （peak point）	C₄₁‒C₂₁ （start point）	C₄₂‒C₂₂ （peak point）
Pixel coordinate	518‒595	537‒580	379‒435	387‒427
Theoretical value /μm	17.142	15.824	20.608	17.142
Measured value /μm	28.336	15.824	20.608	14.72
Absolute error /μm	11.194	-1.318	3.466	-2.422
Relative error /%	65.302	7.689	20.189	14.129
Elapsed time /s	0.614

Table 5. Size analysis of onion epidermal cell nucleus under $\partial^{2} φ / \partial x^{2}$ phase treatment

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Table 5. Size analysis of onion epidermal cell nucleus under $\partial^{2} φ / \partial x^{2}$ phase treatment

Parameter	C₁₁‒C₃₁ （start point）	C₁₂‒C₃₂ （peak point）	C₄₁‒C₂₁ （start point）	C₄₂‒C₂₂ （peak point）
Pixel coordinate	535‒582	538‒576	383‒429	389‒425
Theoretical value /μm	17.142	17.142	17.142	17.142
Measured value /μm	17.296	13.984	16.928	13.248
Absolute error /μm	0.154	-3.158	-0.214	-3.894
Relative error /%	0.898	18.423	1.248	22.716
Elapsed time /s	0.733

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Ying Ji, Xinyu Wei, Mingming Zhang, Yawei Wang. Experimental Sampling Strategy for Rapid Extraction of Morphological Features Based on Phase Edge Detection[J]. Laser & Optoelectronics Progress, 2022, 59(6): 0617030

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Paper Information

Category: Medical Optics and Biotechnology

Received: Sep. 9, 2021

Accepted: Oct. 13, 2021

Published Online: Mar. 8, 2022

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

DOI:10.3788/LOP202259.0617030

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Size analysis of sampling under different feature points in the sample model

Table 1. Size analysis of sampling under different feature points in the sample model

Table 2. Size analysis of polystyrene microspheres at different sampling points under phase gradient distribution

Table 2. Size analysis of polystyrene microspheres at different sampling points under phase gradient distribution

Table 3. Size analysis of polystyrene microspheres at different sampling points under phase Laplacian processing distribution

Table 3. Size analysis of polystyrene microspheres at different sampling points under phase Laplacian processing distribution

Table 4. Size analysis of onion epidermal cell nucleus under phase gradient treatment

Table 4. Size analysis of onion epidermal cell nucleus under phase gradient treatment

Table 5. Size analysis of onion epidermal cell nucleus under ∂2φ/∂x2 phase treatment

Table 5. Size analysis of onion epidermal cell nucleus under ∂2φ/∂x2 phase treatment

Table 5. Size analysis of onion epidermal cell nucleus under $\partial^{2} φ / \partial x^{2}$ phase treatment

Table 5. Size analysis of onion epidermal cell nucleus under $\partial^{2} φ / \partial x^{2}$ phase treatment