CN108182329A - A kind of radio frequency coil designs method and loop construction using particle cluster algorithm - Google Patents
A kind of radio frequency coil designs method and loop construction using particle cluster algorithm Download PDFInfo
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Abstract
本发明属于磁共振成像技术领域,涉及一种应用粒子群算法的射频线圈设计方法及线圈结构,主要应用于对人体脑部的磁共振成像,射频线圈布线区域选择在一个半球面上,其内部形成用于包裹脑部的半球形空腔,其下方的线圈形成磁场组成单元,建立起射频磁场的主要部分,其上方的线圈用于补偿磁场,使得在半球形空腔内部的特定区域内的磁场趋于均匀;通过调节线圈的个数N以及线圈所在的高度来调节线圈的性能,通过粒子群算法大范围的搜索最优的线圈结构,通过算法设计代替了传统的盲目多次试验,提高了设计效率、减轻了设计的繁琐程度,提高了线圈结构的设计质量。
The invention belongs to the technical field of magnetic resonance imaging, and relates to a radio frequency coil design method and a coil structure using a particle swarm algorithm. It is mainly used in magnetic resonance imaging of the human brain. Form a hemispherical cavity for wrapping the brain, the coils below it form a magnetic field component unit, and establish the main part of the radio frequency magnetic field, and the coils above it are used to compensate the magnetic field, so that in a specific area inside the hemispherical cavity The magnetic field tends to be uniform; the performance of the coil is adjusted by adjusting the number N of coils and the height of the coil, and the optimal coil structure is searched in a wide range through the particle swarm algorithm, and the traditional blind multiple tests are replaced by algorithm design, improving The design efficiency is improved, the complexity of the design is reduced, and the design quality of the coil structure is improved.
Description
技术领域technical field
本发明属于磁共振成像技术领域,涉及一种应用粒子群算法的射频线圈设计方法及线圈结构。The invention belongs to the technical field of magnetic resonance imaging, and relates to a radio frequency coil design method and a coil structure using a particle swarm algorithm.
背景技术Background technique
磁共振成像技术在医学诊断领域广泛应用,高场磁共振医学成像系统由于其使用条件的限制,无法配备于一般科室中,低场永磁结构的磁共振成像设备相对高场的超低场磁共振成像系统,具有重量轻、费用低、维护方便等特点,可以进入到各类科室中作为专用的检测仪器。而相应的低场磁共振较高场磁共振信噪比低、图像质量差,需要各方面来保障设备的图像质量。Magnetic resonance imaging technology is widely used in the field of medical diagnosis. Due to the limitation of its use conditions, high-field magnetic resonance medical imaging system cannot be equipped in general departments. Magnetic resonance imaging equipment with low-field permanent magnet structure is relatively high-field ultra-low-field magnetic The resonance imaging system has the characteristics of light weight, low cost, and convenient maintenance, and can be used as a special detection instrument in various departments. However, the corresponding low-field magnetic resonance and high-field magnetic resonance have low signal-to-noise ratio and poor image quality, and various aspects are required to ensure the image quality of the equipment.
射频线圈是磁共振系统中的一个重要组成部件,主要用于发射射频信号激励氢质子产生共振,及接受质子所产生磁共振信号。线圈的射频磁场均匀性及射频磁场强度是衡量射频线圈的一个重要参数,影响接受信号的信噪比以及图像质量。The radio frequency coil is an important component of the magnetic resonance system. It is mainly used to transmit radio frequency signals to excite hydrogen protons to generate resonance, and to receive magnetic resonance signals generated by protons. The uniformity of the radio frequency magnetic field and the strength of the radio frequency magnetic field of the coil are an important parameter to measure the radio frequency coil, which affects the signal-to-noise ratio of the received signal and the image quality.
因此,为改善头部专用低场垂直磁场磁共振医学成像设备的图像质量,有必要提出一种用于头部成像的射频线圈结构,并提出用于对该结构进行优化设计的设计方法。Therefore, in order to improve the image quality of the head-specific low-field vertical magnetic resonance medical imaging equipment, it is necessary to propose a radio frequency coil structure for head imaging, and propose a design method for the optimal design of the structure.
发明内容Contents of the invention
有鉴于此,本发明的目的在于提供一种应用粒子群算法的射频线圈设计方法及线圈结构。In view of this, the object of the present invention is to provide a radio frequency coil design method and coil structure using particle swarm optimization algorithm.
为达到上述目的,本发明提供如下技术方案:To achieve the above object, the present invention provides the following technical solutions:
一种应用粒子群算法的射频线圈设计方法,包括以下步骤:A method for designing a radio frequency coil using a particle swarm algorithm, comprising the following steps:
S1:设置线圈匝数范围,线圈匝数n∈[a,b],进行步骤S2S1: Set the range of coil turns, the number of coil turns n∈[a,b], go to step S2
S2:初始化线圈模型参数种群,Pi,进行步骤S3S2: Initialize the coil model parameter population, Pi, proceed to step S3
S3:检测线圈匝数n是否在区间[a,b]内,若n∈[a,b],则进行步骤S4;若则得到最优的线圈结构;S3: Detect whether the number of coil turns n is in the interval [a,b], if n∈[a,b], go to step S4; if The optimal coil structure is obtained;
S4:根据线圈模型计算出区域内的磁场均匀性及磁场强度,计算出各个粒子对应的适应度Fi,进行步骤S5;S4: Calculate the magnetic field uniformity and magnetic field strength in the area according to the coil model, calculate the fitness Fi corresponding to each particle, and proceed to step S5;
S5:计算最优粒子的适应度,若其满足优化目标函数的要求或达到最大迭代步骤,则进行S6;若其不满足优化目标函数的要求,则进行步骤S7;S5: Calculate the fitness of the optimal particle, if it meets the requirements of the optimization objective function or reaches the maximum iteration step, proceed to S6; if it does not meet the requirements of the optimization objective function, proceed to step S7;
S6:记录最优粒子的参数,将线圈匝数n替换成(n+1),返回步骤S3;S6: Record the parameters of the optimal particle, replace the number of coil turns n with (n+1), and return to step S3;
S7:更新各个粒子信息,返回步骤S4;S7: update each particle information, return to step S4;
其中,a<b,且a、b均为正整数。Wherein, a<b, and both a and b are positive integers.
可选地,步骤S5中所述的优化目标函数为其中表示目标区域内磁场均匀性,BzAVG为目标区域内磁场强度值,γ为权重系数。Optionally, the optimization objective function described in step S5 is in Indicates the uniformity of the magnetic field in the target area, B zAVG is the magnetic field strength value in the target area, and γ is the weight coefficient.
可选地,步骤S7中所述的粒子更新函数为:Optionally, the particle update function described in step S7 is:
vi(t+1)=w×vi(t)+c1×randi(Pi-xi(t))+c2×randi(Qi-xi(t)),v i (t+1)=w×v i (t)+c 1 ×rand i (P i -xi (t))+c 2 ×rand i (Q i -xi (t)),
一种应用粒子群算法的射频线圈结构,包括n个线圈,所述若干个线圈的同轴设置,设第一个线圈所在平面与该轴的交点为O,则沿远离O点的方向,线圈的半径逐渐减小,在所述射频线圈结构的内部空间形成均匀磁场,n为正整数且n≥2。A radio frequency coil structure applying particle swarm optimization algorithm, comprising n coils, the coaxial arrangement of the several coils, assuming that the intersection point of the plane where the first coil is located and the axis is O, then along the direction away from point O, the coil The radius of is gradually reduced to form a uniform magnetic field in the inner space of the radio frequency coil structure, n is a positive integer and n≥2.
可选地,所述第一个线圈的半径为r0,第i个线圈的半径为ri,第i个线圈的几何中心与O点的距离为hi则第i个线圈的半径i为正整数。Optionally, the radius of the first coil is r 0 , the radius of the i-th coil is r i , and the distance between the geometric center of the i-th coil and point O is h i , then the radius of the i-th coil i is a positive integer.
可选地,相邻的线圈之间通过连接带进行固定。Optionally, adjacent coils are fixed by connecting strips.
可选地,所述连接带在第一个线圈上的正投影均在一条直线上。Optionally, the orthographic projections of the connecting strips on the first coil are all on a straight line.
可选地,所述射频线圈结构的内部空间与人体头部的尺寸相匹配。Optionally, the internal space of the radio frequency coil structure matches the size of the human head.
可选地,所述线圈包括相邻的磁场组成单元以及磁场补偿单元,第一个线圈到第x个线圈构成磁场组成单元,用于建立射频磁场;其余线圈构成磁场补偿单元,用于补偿所述射频磁场以形成均匀磁场,x<n,x为正整数。Optionally, the coils include adjacent magnetic field composition units and magnetic field compensation units, the first coil to the xth coil form a magnetic field composition unit for establishing a radio frequency magnetic field; the remaining coils form a magnetic field compensation unit for compensating all The radio frequency magnetic field is used to form a uniform magnetic field, x<n, where x is a positive integer.
可选地,所述射频线圈结构的内部空间为半球形。Optionally, the inner space of the radio frequency coil structure is hemispherical.
本发明的有益效果在于:The beneficial effects of the present invention are:
1、本发明中所涉及的一种应用粒子群算法的射频线圈结构主要应用于对人体脑部的磁共振成像,射频线圈布线区域选择在一个半球面上,其内部形成用于包裹脑部的半球形空腔,其下方的线圈形成磁场组成单元,建立起射频磁场的主要部分,其上方的线圈用于补偿磁场,使得在半球形空腔内部的特定区域内的磁场趋于均匀。1. A radio frequency coil structure using particle swarm algorithm involved in the present invention is mainly used in magnetic resonance imaging of the human brain. The radio frequency coil wiring area is selected on a hemispherical surface, and the inner part is formed to wrap the brain. In the hemispherical cavity, the coils below it form a magnetic field component unit, which establishes the main part of the radio frequency magnetic field, and the coils above it are used to compensate the magnetic field, so that the magnetic field in a specific area inside the hemispherical cavity tends to be uniform.
2、本发明中所涉及的一种应用粒子群算法的射频线圈设计方法,通过调节线圈的个数N以及线圈所在的高度来调节线圈的性能,通过粒子群算法大范围的搜索最优的线圈结构,通过算法设计代替了传统的盲目多次试验,提高了设计效率、减轻了设计的繁琐程度,提高了线圈结构的设计质量。2. A radio frequency coil design method using particle swarm algorithm involved in the present invention adjusts the performance of the coil by adjusting the number N of coils and the height of the coil, and searches for the optimal coil in a wide range by particle swarm algorithm The structure is replaced by the traditional blind multiple tests through algorithm design, which improves the design efficiency, reduces the complexity of the design, and improves the design quality of the coil structure.
本发明的其他优点、目标和特征在某种程度上将在随后的说明书中进行阐述,并且在某种程度上,基于对下文的考察研究对本领域技术人员而言将是显而易见的,或者可以从本发明的实践中得到教导。本发明的目标和其他优点可以通过下面的说明书来实现和获得。Other advantages, objects and features of the present invention will be set forth in the following description to some extent, and to some extent, will be obvious to those skilled in the art based on the investigation and research below, or can be obtained from It is taught in the practice of the present invention. The objects and other advantages of the invention may be realized and attained by the following specification.
附图说明Description of drawings
为了使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明作优选的详细描述,其中:In order to make the purpose of the present invention, technical solutions and advantages clearer, the present invention will be described in detail below in conjunction with the accompanying drawings, wherein:
图1为本发明中所涉及的一种应用粒子群算法的射频线圈结构的线圈计算优化模型图;Fig. 1 is the coil calculation optimization model figure of a kind of application particle swarm algorithm involved in the present invention radio frequency coil structure;
图2为本发明中所涉及的一种应用粒子群算法的射频线圈结构的实际线圈连接结构图;Fig. 2 is the actual coil connection structure diagram of a kind of radio frequency coil structure of application particle swarm algorithm involved in the present invention;
图3为单个线圈所产生的空间磁场的计算模型;Fig. 3 is the computational model of the spatial magnetic field produced by a single coil;
图4为本发明中所涉及的一种应用粒子群算法的射频线圈设计方法的流程图;Fig. 4 is the flow chart of a kind of radio frequency coil design method using particle swarm algorithm involved in the present invention;
图5为在线圈优化结构之前的磁场场强模拟结果;Fig. 5 is the simulation result of the magnetic field strength before the coil optimization structure;
图6为采用本发明中所涉及的一种应用粒子群算法的射频线圈设计方法对线圈结构进行优化结构后的磁场场强模拟结果。FIG. 6 is a simulation result of the magnetic field strength after the coil structure is optimized by using a radio frequency coil design method involving particle swarm optimization algorithm involved in the present invention.
具体实施方式Detailed ways
以下通过特定的具体实例说明本发明的实施方式,本领域技术人员可由本说明书所揭露的内容轻易地了解本发明的其他优点与功效。本发明还可以通过另外不同的具体实施方式加以实施或应用,本说明书中的各项细节也可以基于不同观点与应用,在没有背离本发明的精神下进行各种修饰或改变。需要说明的是,以下实施例中所提供的图示仅以示意方式说明本发明的基本构想,在不冲突的情况下,以下实施例及实施例中的特征可以相互组合。Embodiments of the present invention are described below through specific examples, and those skilled in the art can easily understand other advantages and effects of the present invention from the content disclosed in this specification. The present invention can also be implemented or applied through other different specific implementation modes, and various modifications or changes can be made to the details in this specification based on different viewpoints and applications without departing from the spirit of the present invention. It should be noted that the diagrams provided in the following embodiments are only schematically illustrating the basic concept of the present invention, and the following embodiments and the features in the embodiments can be combined with each other in the case of no conflict.
请参阅图1-图6,附图中的元件标号分别表示:磁场补偿单元1、磁场组成单元2、第一个线圈3、射频线圈结构的内部空间4、连接带5。Please refer to Fig. 1-Fig. 6, the component numbers in the accompanying drawings represent respectively: magnetic field compensating unit 1, magnetic field forming unit 2, first coil 3, internal space 4 of the radio frequency coil structure, and connecting strip 5.
本发明涉及一种应用粒子群算法的射频线圈设计方法及线圈结构,所述的一种应用粒子群算法的射频线圈设计方法的流程图如图4所示,其主要步骤如下。The present invention relates to a radio frequency coil design method using particle swarm optimization algorithm and a coil structure. The flow chart of the radio frequency coil design method using particle swarm optimization algorithm is shown in Figure 4, and its main steps are as follows.
S1:设置线圈匝数范围,线圈匝数n∈[a,b],进行步骤S2S1: Set the range of coil turns, the number of coil turns n∈[a,b], go to step S2
S2:初始化线圈模型参数种群,Pi,进行步骤S3S2: Initialize the coil model parameter population, Pi, proceed to step S3
S3:检测线圈匝数n是否在区间[a,b]内,若n∈[a,b],则进行步骤S4;若则得到最优的线圈结构;S3: Detect whether the number of coil turns n is in the interval [a,b], if n∈[a,b], go to step S4; if The optimal coil structure is obtained;
S4:根据线圈模型计算出区域内的磁场均匀性及磁场强度,计算出各个粒子对应的适应度Fi,进行步骤S5;S4: Calculate the magnetic field uniformity and magnetic field strength in the area according to the coil model, calculate the fitness Fi corresponding to each particle, and proceed to step S5;
S5:计算最优粒子的适应度,若其满足优化目标函数的要求或达到最大迭代步骤,则进行S6;若其不满足优化目标函数的要求,则进行步骤S7;S5: Calculate the fitness of the optimal particle, if it meets the requirements of the optimization objective function or reaches the maximum iteration step, proceed to S6; if it does not meet the requirements of the optimization objective function, proceed to step S7;
S6:记录最优粒子的参数,将线圈匝数n替换成(n+1),返回步骤S3;S6: Record the parameters of the optimal particle, replace the number of coil turns n with (n+1), and return to step S3;
S7:更新各个粒子信息,返回步骤S4;S7: update each particle information, return to step S4;
其中,a<b,且a、b均为正整数。Wherein, a<b, and both a and b are positive integers.
优选地,步骤S5中所述的优化目标函数为其中表示目标区域内磁场均匀性,BzAVG为目标区域内磁场强度值,γ为权重系数;步骤S7中所述的粒子更新函数为:vi(t+1)=w×vi(t)+c1×randi(Pi-xi(t))+c2×randi(Qi-xi(t)), Preferably, the optimization objective function described in step S5 is in Represents the homogeneity of the magnetic field in the target area, B zAVG is the magnetic field strength value in the target area, and γ is a weight coefficient; the particle update function described in step S7 is: v i (t+1)=w×v i (t)+ c 1 ×rand i (P i -x i (t))+c 2 ×rand i (Q i -x i (t)),
该射频线圈所产生的空间磁场可以看做多个单圆环线圈所产生磁场的叠加,其中单个圆环线圈于空间中所产生的磁场可以由下式进行计算。The spatial magnetic field generated by the RF coil can be regarded as the superposition of the magnetic fields generated by multiple single-loop coils, and the magnetic field generated by a single circular-loop coil in space can be calculated by the following formula.
其中,r2=x2+y2+z2,ρ2=x2+y2,α2=a2+r2-2aρ,k2=1-α2/β2,E(k2)、K(k2)为椭圆积分。该射频线圈结构的优化设计参数为圆环线圈的匝数n以及各个圆环线圈的半径ri,主要用来平衡均匀性与磁场强度。线圈结构优化之前的模拟结果如图5所示,采用本发明中的设计方法进行线圈优化后的结果如图6所示。图6中的模拟结果显然比图5中的模拟结果的场强均匀度更优。Among them, r 2 =x 2 +y 2 +z 2 , ρ 2 =x 2 +y 2 , α 2 =a 2 +r 2 -2aρ, k 2 =1-α 2 /β 2 , E(k 2 ) , K(k 2 ) is an elliptic integral. The optimal design parameters of the radio frequency coil structure are the number of turns n of the toroidal coil and the radius r i of each toroidal coil, which are mainly used to balance the uniformity and magnetic field strength. The simulation result before coil structure optimization is shown in FIG. 5 , and the coil optimization result using the design method in the present invention is shown in FIG. 6 . The simulation results in Fig. 6 are obviously better than the simulation results in Fig. 5 in field intensity uniformity.
采用本发明中所涉及的一种应用粒子群算法的射频线圈设计方法设计出的线圈结构如下,包括n个线圈,所述若干个线圈的同轴设置,设第一个线圈3所在平面与该轴的交点为O,则沿远离O点的方向,线圈的半径逐渐减小,在所述射频线圈结构的内部空间4形成均匀磁场,n为正整数且n≥2。The coil structure designed by a radio frequency coil design method using the particle swarm algorithm involved in the present invention is as follows, including n coils, the coaxial arrangement of the several coils, assuming that the plane where the first coil 3 is located is the same as the plane of the coil. If the intersection point of the axes is O, the radius of the coil gradually decreases along the direction away from point O, and a uniform magnetic field is formed in the internal space 4 of the radio frequency coil structure, n is a positive integer and n≥2.
优选地,所述第一个线圈3的半径为r0,第i个线圈的半径为ri,第i个线圈的几何中心与O点的距离为hi则第i个线圈的半径i为正整数。Preferably, the radius of the first coil 3 is r 0 , the radius of the i-th coil is r i , and the distance between the geometric center of the i-th coil and point O is h i , then the radius of the i-th coil i is a positive integer.
在本实施例中,相邻的线圈之间通过连接带5进行固定;所述连接带5在第一个线圈3上的正投影均在一条直线上;所述射频线圈结构的内部空间4与人体头部的尺寸相匹配;所述线圈包括相邻的磁场组成单元2以及磁场补偿单元1,第一个线圈3到第x个线圈构成磁场组成单元2,用于建立射频磁场;其余线圈构成磁场补偿单元1,用于补偿所述射频磁场以形成均匀磁场,x<n,x为正整数;所述射频线圈结构的内部空间4为半球形。In this embodiment, the adjacent coils are fixed by connecting strips 5; the orthographic projections of the connecting strips 5 on the first coil 3 are all on a straight line; the inner space 4 of the radio frequency coil structure and The size of the human head matches; the coils include adjacent magnetic field composition units 2 and magnetic field compensation units 1, and the first coil 3 to the xth coil form the magnetic field composition unit 2 for establishing a radio frequency magnetic field; the remaining coils form The magnetic field compensation unit 1 is used to compensate the radio frequency magnetic field to form a uniform magnetic field, x<n, where x is a positive integer; the internal space 4 of the radio frequency coil structure is hemispherical.
本发明中所涉及的一种应用粒子群算法的射频线圈结构主要应用于对人体脑部的磁共振成像,射频线圈布线区域选择在一个半球面上,其内部形成用于包裹脑部的半球形空腔,其下方的线圈形成磁场组成单元2,建立起射频磁场的主要部分,其上方的线圈用于补偿磁场,使得在半球形空腔内部的特定区域内的磁场趋于均匀。而本发明中所涉及的一种应用粒子群算法的射频线圈设计方法,通过调节线圈的个数N以及线圈所在的高度来调节线圈的性能,通过粒子群算法大范围的搜索最优的线圈结构,通过算法设计代替了传统的盲目多次试验,提高了设计效率、减轻了设计的繁琐程度,提高了线圈结构的设计质量A radio frequency coil structure using the particle swarm algorithm involved in the present invention is mainly used in magnetic resonance imaging of the human brain. The radio frequency coil wiring area is selected on a hemispherical surface, and its interior forms a hemispherical shape for wrapping the brain. In the cavity, the coils below it form the magnetic field composition unit 2, which establishes the main part of the radio frequency magnetic field, and the coils above it are used to compensate the magnetic field, so that the magnetic field in a specific area inside the hemispherical cavity tends to be uniform. And a kind of radio frequency coil design method using particle swarm algorithm involved in the present invention adjusts the performance of the coil by adjusting the number N of coils and the height of the coil, and searches for the optimal coil structure in a large scale through the particle swarm algorithm , the traditional blind multiple tests are replaced by algorithm design, which improves the design efficiency, reduces the complexity of the design, and improves the design quality of the coil structure
最后说明的是,以上实施例仅用以说明本发明的技术方案而非限制,尽管参照较佳实施例对本发明进行了详细说明,本领域的普通技术人员应当理解,可以对本发明的技术方案进行修改或者等同替换,而不脱离本技术方案的宗旨和范围,其均应涵盖在本发明的权利要求范围当中。Finally, it is noted that the above embodiments are only used to illustrate the technical solutions of the present invention without limitation. Although the present invention has been described in detail with reference to the preferred embodiments, those of ordinary skill in the art should understand that the technical solutions of the present invention can be carried out Modifications or equivalent replacements, without departing from the spirit and scope of the technical solution, should be included in the scope of the claims of the present invention.
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