• Acta Photonica Sinica
  • Vol. 50, Issue 6, 197 (2021)
Haoyang ZHOU1, Bao FENG1、*, Feifei QI2, Zhuangsheng LIU3, and Wansheng LONG3
Author Affiliations
  • 1Medical Artificial Intelligence Laboratory, Guilin University of Aerospace Technology,Guilin,Guangxi54004, China
  • 2School of Internet Finance and Information Engineering, Guangdong University of Finance, Guangzhou51051, China
  • 3Institute of Medical Imaging,Affiliated Jiangmen Hospital of Sun Yat-sen University, Jiangmen,Guangdong529000, China
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    DOI: 10.3788/gzxb20215006.0610002 Cite this Article
    Haoyang ZHOU, Bao FENG, Feifei QI, Zhuangsheng LIU, Wansheng LONG. Combining MRF Energy and DCE-MRI Time-domain Features for Breast Tumors Segmentation Algorithm[J]. Acta Photonica Sinica, 2021, 50(6): 197 Copy Citation Text show less

    Abstract

    To solve the low contrast, blurred boundry and intensity inhomogeous of the breast cancer lesions in the dynamic contrast-enhanced magnetic resonance imaging images, an integrated active contour model is proposed by combining markov random field energy with time-domain features. First, the edge-stop function of active contour model is derived from a fuzzy c-means cluster which treat the intensity and variation of time-domain as the feature. Then, markov random field energy is constructed to improve the difference between the lesions and other tissues. Finally, the region term is derived from k-nearest neighbor method which treat markov random field energy as dataset. The evolution of the contour curve stops at the boundary of lesions, and the energy function constructed by region term and edge term is minimized.The experiment proved that markov random field energy and time-domain feature can improve the contrast between the breast tumours and other tissues. Compared with state of the art of active contours models, the result segmented by the proposed method is more similar to the artificial segmentation, so that the proposed method is meaningful for breast cancer segmentation.
    T(x,y)=IP3(x,y)-IP1(x,y)(1)

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    J=j=1Ni=12uij2aj-vi2(2)

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    uij=1k=12aj-vi2aj-vk2(3)

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    vi=j=1Nuij2ajj=1Nuij2(4)

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    e(uLj)=exp[(uLj-0.5)2]-1(5)

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    P(b|I)exp-i=1Nβn(bi)+(Ii-μbi)22σbi2+log(σbi)(6)

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    μm=1Nmbi=mIi(7)

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    σm2=1Nm-1bi=m(Ii-μm)2(8)

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    E(bi)=βn(bi)+(Ii-μbi)22σbi2+log(σbi)(9)

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    bt,i=argminbiE(bi)=argminbiβnt-1(bi)+(Ii-μt-1,bi)22σt-1,bi2+log(σt-1,bi)(10)

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    EMRF(i)=bi=1MβnTbi+(Ii-μbi)22σbi2+log(σbi)(11)

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    EKNN(i)=P(ri|qi)=jNi,k[1-H(rj-ri)]jNi,kH(rj)(12)

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    ER(C,f1,f2)=i=12λiΩΩig(x-y)EKNN(y)-fi(x)2dydxx,yΩ(13)

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    g(x-y)=exp(-x-y2/2σ2)2πσ2(14)

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    fi(x)=Ωig(x-y)EKNN(y)dyΩig(x-y)dy(15)

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    EACM(ϕ(x))=Ωe(UL(x))δ(ϕ(x))ϕ(x)+νδ(ϕ(x))ϕ(x)+i=12λiΩg(x-y)Mi(ϕ(y))EKNN(y)-fi(x)2dydx(16)

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    Hε(ϕ)=12+1πarctanϕε(17)

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    fi(x)=g(x)*Mi(ϕ(x))EKNN(x)g(x)*Mi(ϕ(x))i=1,2(18)

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    0=Ω12(ϕ-1)2dx(19)

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    ϕt=μdiv1-1ϕϕ+δϕdive(UL(x))ϕϕ+νdivϕϕ-                    λ1Ω1g(x-y)EKNN(y)-f1(x)2dy+λ2Ω2g(x-y)EKNN(y)-f2(x)2dy(20)

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    pMI=i=13wig(I | μi,Σi)(21)

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    m=argmaxiμi(22)

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    DICE=2N(S1S2)N(S1)+N(S2)(23)

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    HD=maxmaxxS1minyS2(x-y),maxyS2minxS1(x-y)(24)

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    Haoyang ZHOU, Bao FENG, Feifei QI, Zhuangsheng LIU, Wansheng LONG. Combining MRF Energy and DCE-MRI Time-domain Features for Breast Tumors Segmentation Algorithm[J]. Acta Photonica Sinica, 2021, 50(6): 197
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