• Laser & Optoelectronics Progress
  • Vol. 59, Issue 18, 1810008 (2022)
Yunhong Li*, Lan Yao, Jie Ren, Xuemin Luo, Dengfei Ma, and Jiaojiao Duan
Author Affiliations
  • School of Electronics and Information, Xi'an Polytechnic University, Xi’an 710048, Shaanxi , China
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    DOI: 10.3788/LOP202259.1810008 Cite this Article Set citation alerts
    Yunhong Li, Lan Yao, Jie Ren, Xuemin Luo, Dengfei Ma, Jiaojiao Duan. Non-Uniform Image Segmentation Based on Adaptive Region Fitting[J]. Laser & Optoelectronics Progress, 2022, 59(18): 1810008 Copy Citation Text show less

    Abstract

    In this paper, we proposed an adaptive region fitting non-uniform image segmentation algorithm to solve the low segmentation accuracy of the traditional level set method in segmenting uneven grayscale images. First, we constructed an adaptive region fitting energy term to retain more detailed information in the local region of the image to be segmented, and to achieve accurate image segmentation. Second, we applied a non-convex regular term to smooth the curve and protect the edges of the image. Furthermore, we added an energy penalty term to constrain the level set function and improve the algorithm’s segmentation efficiency. Finally, the synthetic and real images were verified by experiments. Experimental results show that the average Dice similarity coefficient, Jaccard similarity coefficient, and accuracy of the proposed algorithm are 88.62%, 79.86%, and 92.48%, respectively, which are 18.19 percentage points, 16.10 percentage points, and 13 percentage points higher than those of Local Binary Fitting (LBF), Local and Global Intensity Fitting (LGIF), and Local Pre-fitting (LPF) respectively.
    ΕC,f1,f2=λ1ΩKσx-yHϕyIy-f1x2dydx+λ2ΩKσx-y1-HϕyIy-f2x2dydx
    Hεx=121+2πarctanxε
    ΕLBFϕ,f1,f2=λ1ΩKσx-yHϕyIy-f1x2dydx+λ2ΩKσx-y1-HϕyIy-f2x2dydx
    f1x=Kσx*IxHϕxKσx*Hϕx
    f2x=Kσx*Ix1-HϕxKσx*1-Hϕx
    ϕt=ELBFϕ=-δϕλ1e1-λ2e2
    eix=Kσx-yIy-fix2dyi=1,2。
    Fx=βfix
    Εϕ,f1,f2=λ1ΩKσx-yHϕyIy-βf1x2dydx+λ2ΩKσx-y1-HϕyIy-βf2x2dydx
    Lϕ=ηIxψHϕxdx
    Pϕ=12ϕ-12dx
    R=νLϕ+μPϕ
    Εϕ,f1,f2=λ1ΩKσx-yHϕyIy-βf1x2dydx+λ2ΩKσx-y1-HϕyIy-βf2x2dydx+νηIxψHεϕxdx+μ12ϕ-12dx
    Kσx-yMiϕyIy-βfiy2dy=0
    β=i=1NKσx-yIyfiyMiϕyi=1NKσx-yfi2yMiϕy
    ϕt=δεϕλ2e2-λ1e1+νηIδεϕHεϕ1+Hεϕ22+μ2ϕ-divϕϕ
    eix=Kσx-yIy-βfix2dy
    ϕn+1=ϕn+Δtϕt
    CD=2IoIgIo+IgCJ=IoIgIoIgP=NTPNTP+NFP
    NTP=IoIgIgNFP=IoIg-IgIg
    Yunhong Li, Lan Yao, Jie Ren, Xuemin Luo, Dengfei Ma, Jiaojiao Duan. Non-Uniform Image Segmentation Based on Adaptive Region Fitting[J]. Laser & Optoelectronics Progress, 2022, 59(18): 1810008
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