Improved Gradient Threshold Image Sharpness Evaluation Algorithm

Haifei Zeng; Changpei Han; Kai Li; Huangwei Tu

doi:10.3788/LOP202158.2211001

Laser & Optoelectronics Progress, Volume. 58, Issue 22, 2211001(2021)

Improved Gradient Threshold Image Sharpness Evaluation Algorithm

Haifei Zeng^1,2,3, Changpei Han^1,2、*, Kai Li^1,2,3, and Huangwei Tu^1,2,3

Author Affiliations

¹Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China

²Key Laboratory of Infrared Detection and Imaging Technology, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai 200083, China

³University of Chinese Academy of Sciences, Beijing 100049, China

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Figures & Tables(8)

Fig. 1. Sample image 1. (a) 1^st frame image; (b) focusing image; (c) 25^th frame image

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Fig. 2. Sample image 2. (a) 1^st frame image; (b) focusing image; (c) 17^th frame image

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Fig. 3. Sample image 3. (a) 1^st frame image; (b) focusing image; (c) 24^th frame image

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Fig. 4. Normalized sharpness evaluation curves of different images. (a) Sample image 1; (b) sample image 2; (c) sample image 3

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Fig. 5. Normalized sharpness evaluation curves of different noised images. (a) Sample image 1 after adding Gaussian noise; (b) sample image 1 after adding salt and pepper noise; (c) sample image 2 after adding Gaussian noise; (d) sample image 2 after adding salt and pepper noise; (e) sample image 3 after adding Gaussian noise; (f) sample image 3 after adding salt and pepper noise

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Table 1. Time delay required by different sharpness evaluation algorithms to process a frame of image unit: ms

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Table 1. Time delay required by different sharpness evaluation algorithms to process a frame of image unit: ms

Type of image	Brenner	Roberts	Roberts-energy	SMD	EOG	SML	Sobel	Proposed algorithm
Sample image 1	32.48	27.20	27.46	26.52	37.05	43.38	46.96	25.18
Sample image 2	32.37	27.20	27.37	26.39	36.48	42.65	46.72	25.23
Sample image 3	32.24	27.20	27.39	26.45	36.61	42.96	47.22	25.29

Table 2. Sensitivity index of different algorithms

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Table 2. Sensitivity index of different algorithms

Type of image	Index
Sample image 1	f_sen	0.539	0.387	0.584	0.389	0.585	0.650	0.318	0.688
Sample image 1	S	0.316	0.238	0.325	0.238	0.321	0.333	0.203	0.345
Sample image 2	f_sen	0.885	0.810	0.873	0.818	0.868	0.854	0.783	0.912
Sample image 2	S	0.432	0.380	0.428	0.385	0.426	0.423	0.364	0.447
Sample image 3	f_sen	0.776	0.596	0.800	0.613	0.814	0.863	0.540	0.789
Sample image 3	S	0.393	0.302	0.402	0.309	0.409	0.431	0.272	0.398

Table 3. Sharpness ratio of different sharpness evaluation algorithms in different noise environments

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Table 3. Sharpness ratio of different sharpness evaluation algorithms in different noise environments

Image type	Noise type	Noise parameter	Brenner	Roberts	RbtEnergy	SMD	EOG	SML	Sobel	Proposed algorithm
Sample image 1	Gaussiannoise	0.01	1.230	1.060	1.170	1.030	1.100	1.050	1.130	6.630
		0.02	1.110	1.030	1.080	1.020	1.050	1.030	1.080	7.520
		0.05	1.040	1.020	1.030	1.020	1.030	1.030	1.030	9.790
	Salt & peppernoise	0.05	1.200	1.290	1.150	1.200	1.100	1.080	1.220	6.600
		0.10	1.100	1.140	1.080	1.090	1.060	1.050	1.120	7.560
		0.20	1.070	1.060	1.050	1.040	1.040	1.030	1.050	9.870
Sample image 2	Gaussiannoise	0.01	1.647	1.191	1.490	1.110	1.280	1.130	1.406	18.330
		0.02	1.313	1.096	1.230	1.050	1.120	1.050	1.260	21.720
		0.05	1.100	1.029	1.069	1.020	1.040	1.050	1.110	30.510
	Salt & peppernoise	0.05	1.510	1.970	1.410	1.700	1.270	1.190	1.930	18.410
		0.10	1.270	1.460	1.220	1.330	1.160	1.120	1.420	22.580
		0.20	1.150	1.200	1.130	1.140	1.100	1.090	1.170	30.720
Sample image 3	Gaussiannoise	0.01	1.224	1.073	1.166	1.035	1.077	1.057	1.191	70.299
		0.02	1.057	1.027	1.040	1.344	1.049	1.066	1.070	96.661
		0.05	1.038	1.017	1.026	1.023	1.023	1.031	1.044	111.138
	Salt & peppernoise	0.05	1.139	1.044	1.099	1.032	1.051	1.065	1.133	78.777
		0.10	1.049	1.023	1.033	1.030	1.036	1.051	1.059	101.441
		0.20	1.025	1.010	1.018	1.013	1.008	1.011	1.027	122.629

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Haifei Zeng, Changpei Han, Kai Li, Huangwei Tu. Improved Gradient Threshold Image Sharpness Evaluation Algorithm[J]. Laser & Optoelectronics Progress, 2021, 58(22): 2211001

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Paper Information

Category: Imaging Systems

Received: Dec. 16, 2020

Accepted: Jan. 21, 2021

Published Online: Nov. 5, 2021

The Author Email: Changpei Han (changpei_han@mail.sitp.ac.cn)

DOI:10.3788/LOP202158.2211001

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology