• Laser & Optoelectronics Progress
  • Vol. 57, Issue 22, 221007 (2020)
Yafeng Zhang1、*, Zexun Geng1、2, and Junmin Wang1
Author Affiliations
  • 1College of Information Engineering, Pingdingshan University, Pingdingshan, Henan 467000, China
  • 2Institute of Surveying and Mapping, Information Engineering University, Zhengzhou, Henan 450001, China
  • show less
    DOI: 10.3788/LOP57.221007 Cite this Article Set citation alerts
    Yafeng Zhang, Zexun Geng, Junmin Wang. Multi-focus Image Fusion Algorithm Based on Extended Phase Stretch Transform[J]. Laser & Optoelectronics Progress, 2020, 57(22): 221007 Copy Citation Text show less
    Results comparison. (a) Operation results by PST; (b) Operation results by Eq. (13)
    Fig. 1. Results comparison. (a) Operation results by PST; (b) Operation results by Eq. (13)
    Error curve of the calculation result in Fig.1
    Fig. 2. Error curve of the calculation result in Fig.1
    Grayscale variance and angle map variance maps of the source images. (a)(d) Blurred and clear source images;(b)(e) grayscale variance of Fig. (a) and (d); (c)(f) angle map variance of Fig. (a) and (d)
    Fig. 3. Grayscale variance and angle map variance maps of the source images. (a)(d) Blurred and clear source images;(b)(e) grayscale variance of Fig. (a) and (d); (c)(f) angle map variance of Fig. (a) and (d)
    Original image and high-frequency information extraction results. (a)(b) Original images; (c)(d) high-frequency information extracted by kernel function in Ref. [9] and proposed kernel function
    Fig. 4. Original image and high-frequency information extraction results. (a)(b) Original images; (c)(d) high-frequency information extracted by kernel function in Ref. [9] and proposed kernel function
    Flow chart of proposed multi-focus image fusion algorithm
    Fig. 5. Flow chart of proposed multi-focus image fusion algorithm
    Fusion results of Lytro-07. (a) Fusion result by DWT; (b) fusion result by Laplace operator; (c) fusion result by SR; (d) fusion result by guided filter; (e) fusion result by JCAN; (f) fusion result using the kernel function in Ref. [9]; (g) fusion result using the proposed kernel function
    Fig. 6. Fusion results of Lytro-07. (a) Fusion result by DWT; (b) fusion result by Laplace operator; (c) fusion result by SR; (d) fusion result by guided filter; (e) fusion result by JCAN; (f) fusion result using the kernel function in Ref. [9]; (g) fusion result using the proposed kernel function
    Difference maps of fusion results. (a)-(g) Corresponding to the difference maps in Fig. 6 (a)--(g)
    Fig. 7. Difference maps of fusion results. (a)-(g) Corresponding to the difference maps in Fig. 6 (a)--(g)
    Local enlarged drawing. (a)(b) Corresponding to the local enlarged drawing in Fig. 7 (f) and (g)
    Fig. 8. Local enlarged drawing. (a)(b) Corresponding to the local enlarged drawing in Fig. 7 (f) and (g)
    Source images and fusion results of proposed algorithm. (a)(b) Source images; (c) fusion results
    Fig. 9. Source images and fusion results of proposed algorithm. (a)(b) Source images; (c) fusion results
    Source imageVariance ofblurred imagesVariance ofclear imagesVariance of anglemap of blurred imagesVariance of anglemap of clear images
    1409.11584.31972.721031.26
    2907.29967.251210.741318.45
    Table 1. Grayscale variance and angle map variance of the blurred and clear images
    SourceimageMethodMutualinformationAveragegradientInformationentropySpatialFrequencyStructuralsimilarityCorrelationcoefficient
    Lytro-07DWT1.25962.0817.7257.97210.85050.9846
    Laplace1.28142.0857.72657.81910.85180.9844
    SR1.31252.0977.72998.01130.85580.9847
    Guided filter1.32612.0907.72797.98900.86270.9842
    JCAN1.32742.1127.73228.13430.88410.9871
    Kernel function of Ref. [9]1.32752.1107.73568.08910.88080.9849
    Proposed algorithm1.32682.1167.73578.09580.89580.9852
    Lytro-01DWT1.2222.3207.8666.87990.84190.9558
    Laplace1.2212.4407.9956.78780.84210.957
    SR1.41032.5297.94316.90710.87110.9515
    Guided filter1.41512.5027.9236.90790.89020.9561
    JCAN1.42602.6608.08427.16540.89920.9625
    Kernel function of Ref. [9]1.2512.6107.9857.16440.85240.9578
    Proposed algorithm1.4222.6308.11257.16760.87310.959
    Lytro-03DWT1.2151.9507.62146.58130.8790.9864
    Laplace1.2161.9807.59316.5170.88020.9862
    SR1.21292.0137.61976.50450.88120.9869
    Guided filter1.22242.0107.62586.60140.88650.9865
    JCAN1.24872.0707.62726.55540.88730.9875
    Kernel function of Ref. [9]1.2192.0307.63176.52390.88170.9882
    Proposed algorithm1.2232.0407.63286.55930.89530.9885
    Lytro-12DWT1.4363.2417.460811.65370.87150.9865
    Laplace1.4413.2477.433511.50880.88010.9869
    SR1.43293.2657.466711.66110.91140.9876
    Guided filter1.43433.2707.461411.67230.90250.9873
    JCAN1.4683.2807.473311.69420.91700.9889
    Kernel function of Ref. [9]1.4433.2837.472111.67620.87670.9893
    Proposed algorithm1.4463.2867.472611.69730.91350.9892
    Lytro-14DWT1.3372.8107.57529.81570.88710.9692
    Laplace1.3392.8207.55989.80790.88740.9698
    SR1.34232.8307.56019.85470.88830.9694
    Guided Filter1.3412.8307.55769.85280.8890.9692
    JCAN1.3472.8407.57049.85520.88970.9771
    Kernel function of Ref. [9]1.3442.8607.56099.80470.89040.9700
    Proposed algorithm1.3432.8707.56069.87170.89100.9703
    Table 2. Objective evaluation indexes of fusion results
    Yafeng Zhang, Zexun Geng, Junmin Wang. Multi-focus Image Fusion Algorithm Based on Extended Phase Stretch Transform[J]. Laser & Optoelectronics Progress, 2020, 57(22): 221007
    Download Citation