Hermitian Compressed Sensing Reconstruction Algorithm for Hyperspectral Images

Fig. 3. Influence of evolution generation, population size, and atom number on HA_OMP. (a) Atom number is 50; (b) population size is 10; (c) evolution generation is 5

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Fig. 4. Reconstructed PSNR of Cuprite1 vs atom number. (a) OMP; (b) HA_OMP

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Fig. 5. Comparison between two reconstructed Cuprite2 images. (a) Reconstructed image of OMP algorithm; (b) reconstructed image of HA_OMP algorithm

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Fig. 6. Comparison between two reconstructed Pavia University images. (a) Reconstructed image of OMP algorithm; (b) reconstructed image of HA_OMP algorithm

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Table 1. Basic situation of four datasets
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Table 1. Basic situation of four datasets
Scene Originalbands Originalimage size Availablebands Croppedimage size
Cuprite1 224 614×512 188 256×256
Cuprite2 224 614×512 188 256×256
Indian Pines 220 145×145 200 128×128
Pavia University 115 610×340 103 256×256

Table 2. Optimal PSNR for single band and required atom number

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Table 2. Optimal PSNR for single band and required atom number

Scene	Algorithm	S_R=0.1		S_R=0.2		S_R=0.3		S_R=0.4		S_R=0.5
Scene	Algorithm	PSNR /dB	Atomnumber	PSNR /dB	Atomnumber	PSNR /dB	Atomnumber	PSNR /dB	Atomnumber	PSNR /dB	Atomnumber
Cuprite1	OMP	24.12	3	29.67	6	32.37	9	34.73	14	36.18	20
Cuprite1	HA_OMP	24.76	5	28.76	6	31.90	21	34.75	33	36.76	50
Cuprite2	OMP	21.88	3	27.22	5	29.12	8	31.04	14	32.05	18
Cuprite2	HA_OMP	23.04	4	26.79	6	28.70	19	30.12	34	32.79	46
Indian Pines	OMP	13.01	3	16.75	3	17.85	6	19.09	11	20.34	18
Indian Pines	HA_OMP	14.85	5	16.91	6	17.56	12	19.70	25	21.02	34
PaviaUniversity	OMP	19.78	2	22.03	4	23.54	7	25.38	14	27.02	22
PaviaUniversity	HA_OMP	20.24	4	22.57	7	24.05	14	25.79	27	27.26	43

Table 3. Matching and updating time required for reconstructing single bands

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Table 3. Matching and updating time required for reconstructing single bands

Scene	Algorithm	Time	S_R=0.1	S_R=0.2	S_R=0.3	S_R=0.4	S_R=0.5
Cuprite1	OMP	Matching	1031.98	1054.99	1049.73	1063.31	1086.11
	OMP	Updating	9.65	11.36	12.13	11.57	12.50
	HA_OMP	Matching	40.02	41.79	43.59	45.26	47.52
	HA_OMP	Updating	1.90	2.12	2.20	2.19	2.13
Cuprite2	OMP	Matching	1056.40	1062.29	1079.52	1060.32	1090.40
	OMP	Updating	11.30	12.72	12.11	14.66	12.65
	HA_OMP	Matching	39.62	42.35	44.08	45.27	46.51
	HA_OMP	Updating	1.66	1.88	2.15	2.25	2.28

Table 4. Average optimal PSNR of two algorithms under different sampling ratesdB

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Table 4. Average optimal PSNR of two algorithms under different sampling ratesdB

Scene	Algorithm	S_R=0.1	S_R=0.2	S_R=0.3	S_R=0.4	S_R=0.5
Cuprite1	OMP	24.50	29.69	32.63	35.05	36.43
Cuprite1	HA_OMP	24.54	28.96	33.06	34.70	37.19
Cuprite2	OMP	21.96	27.49	29.42	31.34	32.52
Cuprite2	HA_OMP	22.68	27.33	29.30	32.09	33.15
Indian Pines	OMP	14.94	18.86	20.27	21.79	22.93
Indian Pines	HA_OMP	17.09	19.21	21.51	21.90	23.53
Pavia University	OMP	19.22	21.85	23.36	24.99	26.48
Pavia University	HA_OMP	20.64	22.38	23.74	25.43	26.59

Table 5. Acceleration times of HA_OMP relative to OMP under different sampling rates

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Table 5. Acceleration times of HA_OMP relative to OMP under different sampling rates

Scene	Algorithm	S_R=0.1	S_R=0.2	S_R=0.3	S_R=0.4	S_R=0.5
Cuprite1	OMP	1	1	1	1	1
Cuprite1	HA_OMP	15.10	8.62	12.39	12.71	11.34
Cuprite2	OMP	1	1	1	1	1
Cuprite2	HA_OMP	15.71	9.59	9.80	10.88	10.42
Indian Pines	OMP	1	1	1	1	1
Indian Pines	HA_OMP	17.67	14.11	9.58	11.82	11.19
Pavia University	OMP	1	1	1	1	1
Pavia University	HA_OMP	15.53	13.99	10.80	10.63	12.18

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Li Wang, Wei Wang, Boni Liu. Hermitian Compressed Sensing Reconstruction Algorithm for Hyperspectral Images[J]. Laser & Optoelectronics Progress, 2020, 57(14): 141032

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Paper Information

Category: Image Processing

Received: Mar. 6, 2020

Accepted: Apr. 10, 2020

Published Online: Jul. 28, 2020

The Author Email: Wang Li (wangli871016@163.com), Wang Wei (weiiiwang@qq.com), Liu Boni (271629953@qq.com)

DOI:10.3788/LOP57.141032

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Basic situation of four datasets

Table 1. Basic situation of four datasets

Table 2. Optimal PSNR for single band and required atom number

Table 2. Optimal PSNR for single band and required atom number

Table 3. Matching and updating time required for reconstructing single bands

Table 3. Matching and updating time required for reconstructing single bands

Table 4. Average optimal PSNR of two algorithms under different sampling ratesdB

Table 4. Average optimal PSNR of two algorithms under different sampling ratesdB

Table 5. Acceleration times of HA_OMP relative to OMP under different sampling rates

Table 5. Acceleration times of HA_OMP relative to OMP under different sampling rates