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基于壓縮感知的超聲逆散射成像研究

Study of the ultrasound inverse scattering imaging based on compressed sensing

作者:               花少炎  丁明躍  尉遲明          
單位:           華中科技大學生命科學與技術學院(武漢430074)    
關鍵詞:           壓縮感知;逆散射;隨機采樣;稀疏性      
分類號:
出版年·卷·期(頁碼):2015·34·1(24-31)
摘要:

目的 逆散射超聲成像具有較高的空間分辨率和圖像對比度,有著重大的臨床應用價值。傳統(tǒng)的基于逆問題理論的超聲逆散射重建算法存在重建系統(tǒng)穩(wěn)定性差,設備數(shù)據(jù)采集量大等問題。本文基于超聲逆散射理論,利用壓縮感知原理,對目標進行重建,以降低設備數(shù)據(jù)處理量,增強重建過程的穩(wěn)定性。方法 首先分別從時域和頻率兩個角度建立超聲散射正向模型;再根據(jù)壓縮感知原理,提出數(shù)據(jù)采集方案,獲得投影觀測數(shù)據(jù);然后,利用目標的稀疏性,建立基于壓縮感知的超聲逆散射重建逆問題;最后,以囊腫體模和點目標為例,求解逆問題,重建圖像。結果 提出的基于壓縮感知超聲逆散射重建算法,對囊腫體模采樣率降低50%,對點目標采樣率降低76%。結論 基于壓縮感知的超聲逆散射重建,能夠降低設備數(shù)據(jù)處理量,與傳統(tǒng)的延時疊加、合成孔徑等成像算法相比,重建的圖像具有更高的空間分辨率和對比度。

Objective Ultrasound inverse scattering possesses high clinical application value due to its characteristics of high spatial resolution and contrast. Conventional reconstruction methods based on inverse theory usually deteriorate the system stability and need a large amount of sampled data. Based on inverse scattering theory,we reconstruct the object under compressed sensing (CS) framework to reduce the amount of data processing and enhance the stability of the reconstruction system. Methods Firstly,we formulate the forward scattering model from time and frequency domain respectively. Secondly,we propose the data acquisition scheme to obtain projection data. Thirdly,the inverse problem under CS theory is formulated based on the sparsity of the object. Finally,the inverse problem is solved,and the cyst and point objects are constructed. Results The CS approach can faithfully reconstruct the object,the sample data is reduced 50% and 76% for cyst and point object,respectively. Conclusions The CS approach can reduce the amount of data processing,enhance the stability of the inverse problem. Compared to conventional methods such as delay and sum,synthetic aperture,the CS approach improves spatial resolution and contrast.

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