• Acta Optica Sinica
  • Vol. 40, Issue 7, 0710001 (2020)
Yufang Cai1、2、*, Taoyan Chen1、2, Jue Wang1、2, and Gongjie Yao1、2
Author Affiliations
  • 1Engineering Research Center of Industrial CT Nondestructive Testing, Ministry of Education, Chongqing University, Chongqing 400044, China
  • 2College of Optoelectronic Engineering, Chongqing University, Chongqing 400044, China
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    DOI: 10.3788/AOS202040.0710001 Cite this Article Set citation alerts
    Yufang Cai, Taoyan Chen, Jue Wang, Gongjie Yao. Image Noise Reduction in Computed Tomography with Non-Local Means Algorithm Based on Adaptive Filtering Coefficients[J]. Acta Optica Sinica, 2020, 40(7): 0710001 Copy Citation Text show less
    Relationship diagram of similar window and search window of NLM algorithm
    Fig. 1. Relationship diagram of similar window and search window of NLM algorithm
    Structural tensor decomposition. (a) Original image; (b) schematic of structure tensor
    Fig. 2. Structural tensor decomposition. (a) Original image; (b) schematic of structure tensor
    Flowchart of ST-NLM algorithm
    Fig. 3. Flowchart of ST-NLM algorithm
    Gaussian noise simulated image and local magnification of filtering results at different noise levels. (a) Simulated image; (b) σ=1; (c) σ=4; (d) σ=5; (e) σ=12
    Fig. 4. Gaussian noise simulated image and local magnification of filtering results at different noise levels. (a) Simulated image; (b) σ=1; (c) σ=4; (d) σ=5; (e) σ=12
    CT image of spatial resolution testing card. (a) Original image; (b) NLM; (c) method in Ref. [12]; (d) ST-NLM
    Fig. 5. CT image of spatial resolution testing card. (a) Original image; (b) NLM; (c) method in Ref. [12]; (d) ST-NLM
    Gray curves obtained by different filtering methods
    Fig. 6. Gray curves obtained by different filtering methods
    Typical CT slices of insect 1. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    Fig. 7. Typical CT slices of insect 1. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    CT image of the 520th slice of insect 1. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    Fig. 8. CT image of the 520th slice of insect 1. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    CT image of the 434th slice of insect 2. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    Fig. 9. CT image of the 434th slice of insect 2. (a) Original image; (b) locally enlarged image; (c) NLM; (d) method in Ref. [12]; (e) ST-NLM
    Evaluation parameterσNoisy imageNLMMethod in Ref. [12]ST-NLM
    10.27710.94440.95530.9556
    SSIM40.19870.84720.90250.9101
    50.16290.79970.82410.8663
    120.11500.62760.67220.7309
    123.5430.8632.0436.39
    RPSN /dB421.8430.1131.1733.35
    518.6428.0329.0629.67
    1215.3124.1925.0125.08
    Table 1. Quantitative evaluation of SSIM and PSNR by different methods
    ObjectCT systemX-ray energy /keVDetector size /mmExposure time /msViews of projection
    Spatial resolution testing cardLinear array40001.500202048
    Insect 1Planer array1500.200500500
    Insect 2Planer array600.0751000500
    Table 2. CT system parameters for experiment
    ImageImage sizeSimilar window sizeSearch window sizeσ
    Fig. 5336×2833×37×70.34
    768×10243×37×70.11
    Fig. 7768×10243×37×70.14
    768×10243×37×70.12
    768×10243×37×70.10
    Fig. 8768×10243×37×70.15
    Fig. 91200×12003×37×70.25
    Table 3. Experimental parameters of different images
    ImageEvaluation parameterSlice No.NLMMethod in Ref. [12]ST-NLM
    340th0.08680.09410.0995
    Fig. 7Global Tenengrad592th0.11270.12090.1416
    636th0.10630.11350.1355
    710th0.09060.09780.0966
    Fig. 8Global Tenengrad520th0.08820.09020.1021
    Fig. 9Global Tenengrad434th0.09110.09440.1113
    Table 4. Index of image sharpness
    ImageImage sizeNLMNLM integrating image accelerationMethod in Ref. [12]ST-NLM
    Fig. 5336×2833.180.533.212.05
    Fig. 8768×102420.101.7821.108.06
    Fig. 91200×120037.903.8638.3015.30
    Table 5. Comparison of operating time among various filtering algorithmss
    Yufang Cai, Taoyan Chen, Jue Wang, Gongjie Yao. Image Noise Reduction in Computed Tomography with Non-Local Means Algorithm Based on Adaptive Filtering Coefficients[J]. Acta Optica Sinica, 2020, 40(7): 0710001
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