發(fā)布時間：2018-01-31 03:17

  本文關(guān)鍵詞： 超聲血流成像 壁濾波 低秩模型 FIR濾波器　出處：《中國生物醫(yī)學(xué)工程學(xué)報(bào)》2016年04期 　論文類型：期刊論文

【摘要】：傳統(tǒng)的超聲血流壁濾波器采用單一的截止頻率,對于心跳、呼吸等因素所產(chǎn)生的不同組織運(yùn)動濾波效果不佳。提出一種基于低秩理論的超聲血流壁濾波方法。通過分析超聲血流的特點(diǎn),將其公式化并建立低秩模型,模型包括一個矩陣秩的最小化和一個稀疏矩陣問題。松弛后轉(zhuǎn)化為最小化核范數(shù)與1范數(shù)的線性組合,成為凸優(yōu)化可解問題,從而實(shí)現(xiàn)低秩濾波。這種濾波的創(chuàng)新性在于它是自適應(yīng)的,同時考慮了信號的低秩性與稀疏性兩個特點(diǎn),通過線性組合使得濾波效果達(dá)到最優(yōu)。通過低秩濾波,超聲血流仿真數(shù)據(jù)得到更加精確的血流信號。對比傳統(tǒng)的FIR濾波,分別采用12階、56階和92階的FIR濾波器,得到血流信號對比實(shí)際仿真數(shù)據(jù)的RMS誤差分別約為34%、16%和12%,而低秩濾波的RMS誤差則低于0.001%。低秩濾波相比傳統(tǒng)FIR濾波,不僅提高了精度,而且濾波后的信號長度不會損失。但是低秩模型計(jì)算過于復(fù)雜,因此目前還很難應(yīng)用在實(shí)時的超聲系統(tǒng)中。
[Abstract]:The traditional ultrasonic blood flow filter uses a single cutoff frequency for the heartbeat. A method of ultrasonic blood flow wall filtering based on low rank theory is proposed. By analyzing the characteristics of ultrasonic blood flow, the paper formulates it and establishes a low-rank model. The model consists of a matrix rank minimization and a sparse matrix problem, which is transformed into a linear combination of minimized kernel norm and 1-norm, and becomes a solvable problem for convex optimization. The innovation of this filter is that it is adaptive, considering the characteristics of low rank and sparsity of signal, the filtering effect is optimized by linear combination, and by low rank filter. Compared with the traditional FIR filter, the ultrasonic blood flow simulation data obtained more accurate blood flow signal. Compared with the traditional FIR filter, the FIR filter of 12 order 56 and 92 order respectively is used. The RMS error of the actual simulation data of the blood flow signal is about 34 ~ 16% and 12% respectively. The RMS error of low rank filter is less than 0. 001. Compared with traditional FIR filter, low rank filter not only improves the accuracy. The length of the filtered signal will not be lost, but the calculation of the low-rank model is too complicated, so it is difficult to be used in the real-time ultrasonic system.
【作者單位】： 深圳大學(xué)醫(yī)學(xué)部生物醫(yī)學(xué)工程學(xué)院醫(yī)學(xué)超聲關(guān)鍵技術(shù)國家地方聯(lián)合工程實(shí)驗(yàn)室;深圳邁瑞生物醫(yī)療電子股份有限公司;香港中文大學(xué)計(jì)算機(jī)科學(xué)與工程系;
【基金】：中國博士后科學(xué)基金(2014M562207) 國家自然科學(xué)基金(61372006;61427806)
【分類號】：TN713;R445.1
【正文快照】： 3(香港中文大學(xué)計(jì)算機(jī)科學(xué)與工程系,香港)引言超聲血流成像中最關(guān)鍵的一步是提取血流信號,因?yàn)檠旱姆瓷湎禂?shù)大約只有組織的1/500~1/10[1-4]。在超聲回波中,組織和血流信號混在一起,只有提取并得到信噪比高的血流信號,才能計(jì)算出高靈敏度和高精度的血流速度。這兩種信號在理，

本文編號：1478038