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基于磁致邊界振動(dòng)希爾伯特變換的電導(dǎo)率重建簡(jiǎn)化算法

發(fā)布時(shí)間:2019-03-01 16:13
【摘要】:磁聲成像是一種結(jié)合電阻抗成像和超聲成像優(yōu)點(diǎn)的多物理場(chǎng)耦合新型成像方法,能實(shí)現(xiàn)組織的電阻抗對(duì)比成像,重建組織內(nèi)部電阻抗分布的邊界.本研究首先利用強(qiáng)指向性換能器來提高磁致振動(dòng)檢測(cè)的方向精確性,通過磁聲聲壓導(dǎo)數(shù)實(shí)現(xiàn)邊界振動(dòng)聲源法向聲壓的提取;然后從換能器的接收聲壓出發(fā),利用三維空間的格林函數(shù)推導(dǎo)了一種基于磁致邊界振動(dòng)法向聲壓的電導(dǎo)率重建算法,明確了重建過程中聲壓及其導(dǎo)數(shù)的物理意義;最后建立了圓柱坐標(biāo)下的柱狀掃描系統(tǒng),對(duì)雙層偏心圓柱組織模型所產(chǎn)生的聲壓和換能器所接收到的磁聲聲波進(jìn)行了模擬,利用Hilbert變換實(shí)現(xiàn)波簇包絡(luò)定位和相位分析,恢復(fù)磁致邊界振動(dòng)聲壓,重建掃描面的二維電導(dǎo)率分布和模型截面具有較高的一致性,不但獲得了組織的邊界信息,還實(shí)現(xiàn)了組織內(nèi)部電導(dǎo)率分布的精確重建.所提出的基于磁致邊界振動(dòng)希爾伯特變換的電阻抗重建簡(jiǎn)化算法為組織病變的電阻抗成像和磁聲診斷提供了新方法.
[Abstract]:Magnetic acoustic imaging is a new method of multi-physical field-coupled imaging combined with the advantages of electrical impedance imaging and ultrasonic imaging, which can realize the contrast imaging of the electrical impedance of the tissue and reconstruct the boundary of the electrical impedance distribution inside the tissue. In this study, a strong directional transducer is used to improve the directional accuracy of the magnetic vibration detection, and the normal sound pressure of the boundary vibration sound source is extracted by the magnetic sound pressure derivative, and then the sound pressure of the transducer is obtained from the received sound pressure of the transducer, The electric conductivity reconstruction algorithm based on the normal sound pressure of the magnetic boundary is derived by the Green's function of the three-dimensional space, the physical meaning of the sound pressure and its derivative in the reconstruction process is defined, and the cylindrical scanning system under the cylindrical coordinates is finally established. the sound pressure generated by the double-layer eccentric cylindrical tissue model and the magnetic sound acoustic wave received by the transducer are simulated, the wave cluster envelope positioning and the phase analysis are realized by using the Hilbert transform, the magnetic sound pressure of the magnetic boundary is recovered, The two-dimensional conductivity distribution and the model cross-section of the reconstructed scan plane have higher consistency, not only the boundary information of the tissue is obtained, but also the accurate reconstruction of the conductivity distribution inside the tissue is realized. The proposed electrical impedance reconstruction algorithm based on the magnetic boundary vibration Hilbert transform provides a new method for the electrical impedance imaging and the magnetic acoustic diagnosis of the tissue lesions.
【作者單位】: 南京師范大學(xué)物理科學(xué)與技術(shù)學(xué)院;
【基金】:國(guó)家自然科學(xué)基金(11604156) 江蘇省高校自然科學(xué)研究項(xiàng)目(16KJB430020) 江蘇省自然科學(xué)基金(BK20161013) 中國(guó)博士后科學(xué)基金(2016M591874)
【分類號(hào)】:O441

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