CN103913288A - Rainbow schlieren measurement imaging system and method - Google Patents
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Abstract
一种彩虹纹影测量成像系统和方法,该系统包括光源,用于输出光信号;以及沿所述光源输出光信号路径依次设置的第一聚焦透镜、狭缝光阑、第一准直透镜、流场观测区域、第二聚焦透镜、彩虹滤波片、第二准直透镜、数字微阵列反射镜、汇聚透镜和三色单点光电探测器;与三色单点光电探测器电信号连接的压缩算法模块,用于重构彩色图像,依据图像的彩虹纹影计算方法计算出观测流场的密度变化分布。本发明将压缩感知理论与彩虹纹影测量相结合,创造性的提出稀疏彩虹纹影测量方法,具有高通量、高信噪比、快速灵活的特点,适宜于常规光强、弱光、微弱光、超微弱光和单光子彩虹纹影测量方式,是一种大动态范围的稀疏彩虹纹影测量方法。
A rainbow schlieren measurement imaging system and method, the system includes a light source for outputting optical signals; and a first focusing lens, a slit stop, a first collimating lens, Flow field observation area, second focusing lens, rainbow filter, second collimating lens, digital microarray mirror, converging lens and three-color single-point photodetector; compression connected with electrical signal of three-color single-point photodetector The algorithm module is used for reconstructing the color image, and calculates the density change distribution of the observed flow field according to the rainbow schlieren calculation method of the image. The present invention combines compressed sensing theory with rainbow schlieren measurement, and creatively proposes a sparse rainbow schlieren measurement method, which has the characteristics of high throughput, high signal-to-noise ratio, fast and flexible, and is suitable for conventional light intensity, weak light, and weak light , ultra-weak light and single-photon rainbow schlieren measurement method, which is a sparse rainbow schlieren measurement method with a large dynamic range.
Description
技术领域technical field
本发明涉及彩虹纹影测量成像领域,尤其涉及一种基于压缩感知的彩虹纹影测量成像系统及方法。The invention relates to the field of rainbow schlieren measurement and imaging, in particular to a system and method for rainbow schlieren measurement and imaging based on compressed sensing.
背景技术Background technique
自Topler首先采用纹影测量技术定量测量流场以来,纹影逐渐成为风洞试验中常规测量仪器。使用纹影测量流体,与阴影测量技术相比,具有灵敏度高,图像分辨率较强。不足之处在于难以消除光路误差,图像对比度较差,定量测量气流难度较大。然而,彩色纹影成像系统和分析方法正针对纹影不足发展起来的一种测量技术。1952年,英国Holder,D.W.和North,R.J.首先发明了彩色纹影测量方法,与纹影测量技术相比,灵敏度高,图像对比度较高;在纹影场中固体呈现黑色,气体流动呈现彩色,边界条件可简化后测量与分析;彩色纹影更易于图像记录。经过较长时间发展,Holder和North提出的基于棱镜与狭缝和三色滤波片彩色纹影测量方法;Cords提出基于滤波片与狭缝的彩色纹影测量方法;Kaspar提出的多色滤波片彩色纹影测量方法。由上世纪,美国NASA、欧洲ESA和日本JAXA在Lewis落塔、日本微重力落井、自由落体等短时微重力环境中采用彩虹纹影法测量了火焰结构。我国近年来也开展了彩虹纹影法测量火焰结构的研究工作,中国科学院力学所和波兰科学家合作开展了相关研究,在风洞试验中常采用干涉法获得流场密度。干涉法是一种严格的定量测量技术,由流场干涉图可严格计算流场的折射率分布,进而由格拉斯通-戴尔常数公式可推算出流场密度及其它流体力学和气动力学参量。在激波风洞和弹道靶试验方面,马赫干涉、全息干涉和彩虹纹影干涉等技术得到应用,这些方法中都利用了彩虹纹影光路,并把该光路作为物光束的光路。通过这些方法获得了试验干涉照片,并获得了流场的密度定量值。Since Topler first used the schlieren measurement technique to quantitatively measure the flow field, the schlieren has gradually become a routine measurement instrument in wind tunnel tests. Fluids are measured using schlieren, which offers high sensitivity and image resolution compared to shadow measurement techniques. The disadvantage is that it is difficult to eliminate the optical path error, the image contrast is poor, and it is difficult to quantitatively measure the airflow. However, color schlieren imaging systems and analysis methods are being developed as a measurement technique for schlieren deficiency. In 1952, British Holder, D.W. and North, R.J. first invented the color schlieren measurement method. Compared with the schlieren measurement technology, it has high sensitivity and high image contrast; in the schlieren field, the solid appears black, and the gas flow appears colorful. Boundary conditions simplify post-measurement and analysis; color schlieren makes image recording easier. After a long period of development, Holder and North proposed a color schlieren measurement method based on prisms, slits and three-color filters; Cords proposed a color schlieren measurement method based on filters and slits; Kaspar proposed a multicolor filter color schlieren measurement method. Schlieren measurement method. In the last century, NASA in the United States, ESA in Europe and JAXA in Japan have used the rainbow schlieren method to measure flame structures in short-term microgravity environments such as Lewis drop towers, Japanese microgravity falling wells, and free-falling objects. In recent years, my country has also carried out research work on the measurement of flame structure by rainbow schlieren method. The Institute of Mechanics of the Chinese Academy of Sciences has cooperated with Polish scientists to carry out related research. Interference methods are often used to obtain flow field density in wind tunnel tests. Interferometry is a strict quantitative measurement technique. The refractive index distribution of the flow field can be strictly calculated from the flow field interferogram, and the flow field density and other hydrodynamic and aerodynamic parameters can be calculated from the Gladstone-Dell constant formula. In terms of shock wave wind tunnel and ballistic target tests, technologies such as Mach interference, holographic interference and rainbow schlieren interference have been applied. In these methods, the rainbow schlieren optical path is used, and this optical path is used as the optical path of the object beam. Experimental interferograms were obtained by these methods and quantitative values of the density of the flow field were obtained.
彩虹纹影成像技术在燃烧领域也有广泛的应用价值。燃烧是燃料与氧化剂发生强烈化学反应的现象,其过程涉及化学反应、流动、传热传质等复杂的相互作用。微重力燃烧实验中的诊断技术,要求实现对燃烧过程的温度、流场、气体成份和浓度、固体颗粒成份和浓度等进行定性或定量测量,并通过数据处理,对燃烧现象进行分析。在对彩虹纹影法所得结果进行数据处理时,由光场分布图像计算出彩虹纹影图的照度或对比度,获得激光偏转角度,由此计算出流场的折射率分布,再计算出流场密度变化或密度值,左后计算出流场的温度分布。Rainbow schlieren imaging technology also has wide application value in the field of combustion. Combustion is a phenomenon in which a fuel and an oxidant undergo a strong chemical reaction, and the process involves complex interactions such as chemical reaction, flow, heat and mass transfer. The diagnostic technology in the microgravity combustion experiment requires qualitative or quantitative measurement of the temperature, flow field, gas composition and concentration, and solid particle composition and concentration of the combustion process, and analyzes the combustion phenomenon through data processing. When processing the data obtained by the rainbow schlieren method, the illuminance or contrast of the rainbow schlieren image is calculated from the light field distribution image, and the laser deflection angle is obtained, and the refractive index distribution of the flow field is calculated, and then the flow field is calculated. Density change or density value, left after calculating the temperature distribution of the flow field.
彩虹纹影成像技术是利用气流对光波的扰动,将气流变化转换成图像。随着风洞气流研究的发展,特别是高速激波研究,使彩虹纹影成像技术得到广泛的应用。在反隐身飞机成像应用中,将红外彩虹纹影成像与被动光学测距技术相结合,可以实现对隐身飞机的成像和定位,其原理主要利用隐身飞机飞行过程中,产生气流的剧烈扰动,形成范围巨大、保持时间较长的涡流,通过测量隐身飞机扰动的气流轨迹,间接测量隐身飞机。Rainbow schlieren imaging technology uses the disturbance of airflow to light waves to convert airflow changes into images. With the development of wind tunnel airflow research, especially the research of high-speed shock waves, rainbow schlieren imaging technology has been widely used. In the application of anti-stealth aircraft imaging, the combination of infrared rainbow schlieren imaging and passive optical ranging technology can realize the imaging and positioning of stealth aircraft. The vortex with a huge range and a long retention time can indirectly measure the stealth aircraft by measuring the airflow trajectory disturbed by the stealth aircraft.
压缩感知是由E.J.Candes、J.Romberg、T.Tao和D.L.Donoho等研究人员于2004年提出,早在上世纪法国数学家Prony提出稀疏信号恢复方法,这种方法是通过解特征值问题估计稀疏三角多项式的非零幅度和对应的频率;B.Logan最早提出基于L1范数最小化的稀疏约束方法。随后发展出的压缩感知理论是将L1范数最小化稀疏约束与随机矩阵结合,获得稀疏信号重建性能的最佳结果,压缩感知基于信号的可压缩性,通过低维空间、低分辨率、欠Nyquist采样数据的非相关观测来实现高维信号的感知。广泛应用于信息论、图像处理、地球科学、光学/微波成像、模式识别、无线通信、大气科学、地球科学、物理天文学、高精密光学测量等学科领域。Compressed sensing was proposed by researchers such as E.J.Candes, J.Romberg, T.Tao and D.L.Donoho in 2004. As early as the last century, the French mathematician Prony proposed a sparse signal recovery method. This method is to estimate the sparseness by solving the eigenvalue problem. The non-zero amplitude and corresponding frequency of the triangular polynomial; B. Logan first proposed a sparse constraint method based on the minimization of the L1 norm. The subsequently developed compressed sensing theory is to combine the L1 norm minimization sparse constraints with random matrices to obtain the best results of sparse signal reconstruction performance. Compressed sensing is based on the compressibility of signals, through low-dimensional space, low resolution, under Nyquist samples uncorrelated observations of data to realize the perception of high-dimensional signals. It is widely used in information theory, image processing, earth science, optical/microwave imaging, pattern recognition, wireless communication, atmospheric science, earth science, physical astronomy, high-precision optical measurement and other disciplines.
压缩感知理论是将采样和压缩同时进行,很好地利用了自然信号可以在某个稀疏基下表示的先验知识,可以实现远低于奈奎斯特/香农采样极限的亚采样,并能近乎完美地重建信号信息。其最广泛的应用是单像素照相机技术,它能使用一个点探测器而不是面阵探测器便可完成所有的探测任务,倘若这项技术应用在光学彩虹纹影测量领域,必将减少探测维度,避免由面阵探测器带来的光学噪声和电学噪声,而且采用数字微镜器件DMD,这是一个被动光学元件,不会给信号带来任何噪声,探测器方面也不再需要前置放大器,此外系统还能做到23kHz的高速采样,这是传统面阵探测器所无法企及的,外加之鲁棒的重建算法,必将引发更多潜在应用。Compressed sensing theory is to perform sampling and compression at the same time, making good use of the prior knowledge that natural signals can be represented under a certain sparse basis, and can achieve sub-sampling far below the Nyquist/Shannon sampling limit, and can Nearly perfect reconstruction of signal information. Its most widely used is single-pixel camera technology, which can use a point detector instead of an area array detector to complete all detection tasks. If this technology is applied in the field of optical rainbow schlieren measurement, it will definitely reduce the detection dimension , to avoid the optical noise and electrical noise brought by the area array detector, and to use the digital micromirror device DMD, which is a passive optical component, which will not bring any noise to the signal, and the detector does not need a preamplifier any more , In addition, the system can also achieve high-speed sampling of 23kHz, which is beyond the reach of traditional area array detectors. In addition, the robust reconstruction algorithm will surely lead to more potential applications.
发明内容Contents of the invention
本发明的目的在于将压缩感知理论应用于流体彩虹纹影测量领域,从而提供一种基于压缩感知的彩虹纹影测量成像系统及方法。The purpose of the present invention is to apply the compressed sensing theory to the field of fluid rainbow schlieren measurement, thereby providing a rainbow schlieren measurement imaging system and method based on compressed sensing.
为实现上述目的,本发明提供了一种彩虹纹影测量成像系统,其包括:光源,用于输出光信号;以及沿所述光源输出光信号路径依次设置的第一聚焦透镜、狭缝光阑、第一准直透镜、第二聚焦透镜、彩虹滤波片、第二准直透镜、数字微阵列反射镜、汇聚透镜和三色单点光电探测器,流场观测区域位于第一准直透镜和第二聚焦透镜之间;压缩算法模块,其与三色单点光电探测器电信号连接,用于重构彩色图像,依据图像的彩虹纹影计算方法计算出观测流场的密度变化分布。In order to achieve the above object, the present invention provides a rainbow schlieren measurement and imaging system, which includes: a light source for outputting optical signals; and a first focusing lens and a slit diaphragm sequentially arranged along the output optical signal path of the light source , a first collimating lens, a second focusing lens, a rainbow filter, a second collimating lens, a digital microarray mirror, a converging lens and a three-color single-point photodetector, and the flow field observation area is located between the first collimating lens and Between the second focusing lens; the compression algorithm module, which is connected to the three-color single-point photodetector with electrical signals, is used to reconstruct the color image, and calculates the density change distribution of the observed flow field according to the rainbow schlieren calculation method of the image.
进一步,所述狭缝光阑包括狭缝和针孔光阑,该光阑是通过手动或电动调节或更换的光阑部件,或者是固定尺寸的标准型光阑。Further, the slit diaphragm includes a slit and a pinhole diaphragm, and the diaphragm is a diaphragm part that can be adjusted or replaced manually or electrically, or a standard diaphragm with a fixed size.
为实现上述目的,本发明提供了一种彩虹纹影测量成像系统,其包括:光源,用于输出光信号;以及沿所述光源输出光信号路径依次设置的第一聚焦透镜、色散棱镜、第一准直透镜、第二聚焦透镜、狭缝、第二准直透镜、数字微阵列反射镜、汇聚透镜和三色单点光电探测器,流场观测区域位于第一准直透镜和第二聚焦透镜之间;To achieve the above object, the present invention provides a rainbow schlieren measurement imaging system, which includes: a light source for outputting optical signals; and a first focusing lens, a dispersion prism, a second A collimating lens, a second focusing lens, a slit, a second collimating lens, a digital microarray mirror, a converging lens and a three-color single-point photodetector, the flow field observation area is located between the first collimating lens and the second focusing between the lenses;
压缩算法模块,其与三色单点光电探测器电信号连接,用于重构彩色图像,依据图像的彩虹纹影计算方法计算出观测流场的密度变化分布。The compression algorithm module is electrically connected with the three-color single-point photodetector, and is used to reconstruct the color image, and calculates the density change distribution of the observed flow field according to the rainbow schlieren calculation method of the image.
进一步,还包括反射镜单元,其包括第一反射镜和第二反射镜,所述第一反射镜设于所述第一准直透镜和所述流场观测区域之间,用于将第一准直透镜的出射光反射进入流场观测区域;所述第二反射镜设于所述流场观测区域与所述第二聚焦透镜之间,用于将所述流场观测区域的出射光反射至第二聚焦透镜。Further, it also includes a reflector unit, which includes a first reflector and a second reflector, the first reflector is arranged between the first collimator lens and the flow field observation area, and is used to align the first The outgoing light of the collimating lens is reflected into the flow field observation area; the second reflector is arranged between the flow field observation area and the second focusing lens, and is used to reflect the outgoing light of the flow field observation area to the second focusing lens.
进一步,所述反射镜单元中的反射镜为宽带介质膜反射镜、金属膜反射镜、介质激光线反射镜或冷热反射镜。Further, the reflectors in the reflector unit are broadband dielectric film reflectors, metal film reflectors, dielectric laser line reflectors or cold and heat reflectors.
进一步,所述光源为白光光源。Further, the light source is a white light source.
进一步,所述白光光源为氙灯、卤素灯组成白光光源,或者是采用激光驱动光源技术的超宽波段光源,波长范围为170nm-2100nm,或者利用多种激励源驱动光导管发光的光源。Further, the white light source is a white light source composed of a xenon lamp or a halogen lamp, or an ultra-broadband light source using laser-driven light source technology, with a wavelength range of 170nm-2100nm, or a light source that uses multiple excitation sources to drive a light guide to emit light.
进一步,所述数字微阵列反射镜采用反射式和透射式液晶空间光调制器。Further, the digital microarray reflector adopts reflective and transmissive liquid crystal spatial light modulators.
进一步,所述三色单点光电探测器为可见光光电探测器或单光子探测器。Further, the three-color single-point photodetector is a visible light photodetector or a single photon detector.
进一步,所述三色单点光电探测器为单光子探测器,所述单光子探测器为光雪崩二极管,固态光电倍增管或超导单光子探测器。Further, the three-color single-point photodetector is a single-photon detector, and the single-photon detector is an optical avalanche diode, a solid-state photomultiplier tube or a superconducting single-photon detector.
进一步,所述三色单点探测器内包含三个独立光电探测元件,每个光电探测元件前端安装一个微透镜及红蓝绿三色滤光片,分别探测红蓝绿三个波长的光,然后采用三元色调色板算法重构出彩色图像。Further, the three-color single-point detector includes three independent photodetection elements, and a microlens and a red, blue, and green three-color filter are installed at the front end of each photoelectric detection element to detect light of three wavelengths of red, blue, and green respectively. Then the color image is reconstructed by the three-color palette algorithm.
进一步,所述数字微阵列反射镜与所述三色单点光电探测器之间同步,所述数字微阵列反射镜中的微镜阵列每翻转一次,所述三色单点光电探测器在该翻转时间间隔内累计探测到达所有光强,实现光电信号采集转换,然后将电信号传输至所述压缩算法模块。Further, the digital microarray reflector is synchronized with the three-color single-point photodetector, and each time the micromirror array in the digital microarray reflector is flipped, the three-color single-point photodetector is Accumulate and detect all light intensities within the flipping time interval to realize photoelectric signal acquisition and conversion, and then transmit the electrical signal to the compression algorithm module.
为了解决上述问题,本发明还提供一种彩虹纹影测量成像方法,其包括:In order to solve the above problems, the present invention also provides a rainbow schlieren measurement imaging method, which includes:
步骤1、光源输出光信号,经过第一聚焦透镜聚焦后,通过狭缝光阑滤除杂散背景光;Step 1. The light source outputs an optical signal, and after being focused by the first focusing lens, the stray background light is filtered through the slit diaphragm;
步骤2,经过第一准直透镜扩束准直后,入射到流场观测区域;Step 2, after being collimated by the first collimator lens, the beam is incident on the flow field observation area;
步骤3,由所述流场观测区域出射的光束经第二聚焦透镜汇聚后,经彩虹滤光片在透镜焦点处将偏折后的光转换为不同颜色的彩色图像;Step 3, after the light beam emitted from the flow field observation area is converged by the second focusing lens, the deflected light is converted into a color image of different colors at the focal point of the lens through a rainbow filter;
步骤4,经第二准直透镜准直后入射到数字微阵列反射镜,对光场进行随机调制;Step 4, after being collimated by the second collimating lens, it is incident on the digital microarray reflector, and the light field is randomly modulated;
步骤5,经汇聚透镜汇聚后入射到三色单点光电探测器,所述三色单点光电探测器将转换得到的电信号输送至压缩算法模块;Step 5, after being converged by the converging lens, it is incident on the three-color single-point photodetector, and the three-color single-point photodetector sends the converted electrical signal to the compression algorithm module;
步骤6,经过压缩算法模块重构彩色图像,通过对图像的彩虹纹影计算方法计算出观测流场的密度变化分布。In step 6, the color image is reconstructed through the compression algorithm module, and the density change distribution of the observed flow field is calculated by the rainbow schlieren calculation method on the image.
进一步,所述步骤2中,经过第一准直透镜扩束准直后的光束经第一反射镜反射后入射到流场观测区域。Further, in the step 2, the light beam collimated by the first collimating lens beam expander is reflected by the first mirror and then enters the flow field observation area.
进一步,所述步骤3中,由所述流场观测区域出射的光束经第二反射镜反射至所述第二聚焦透镜汇聚。Further, in the step 3, the light beam emitted from the flow field observation area is reflected by the second mirror to the second focusing lens for convergence.
本发明将压缩感知理论与彩虹纹影测量相结合,创造性的提出稀疏彩虹纹影测量方法,具有高通量、高信噪比、快速灵活的特点,适宜于常规光强、弱光、微弱光、超微弱光和单光子彩虹纹影测量方式,是一种大动态范围的稀疏彩虹纹影测量方法。The present invention combines compressed sensing theory with rainbow schlieren measurement, and creatively proposes a sparse rainbow schlieren measurement method, which has the characteristics of high throughput, high signal-to-noise ratio, fast and flexible, and is suitable for conventional light intensity, weak light, and weak light , ultra-weak light and single-photon rainbow schlieren measurement method, which is a sparse rainbow schlieren measurement method with a large dynamic range.
采用压缩感知与彩虹纹影测量相结合可以实现高通量彩虹纹影测量,经典彩虹纹影测量技术在火焰、风洞、气流等方面测量过程中信噪比较低,尤其是在高速、超高速流场测量中环境背景干扰较大,利用这种高通量特点,可以提高彩虹纹影测量的信噪比。The combination of compressed sensing and rainbow schlieren measurement can realize high-throughput rainbow schlieren measurement. The classic rainbow schlieren measurement technology has a low signal-to-noise ratio in the measurement process of flame, wind tunnel, air flow, etc., especially in high-speed, ultra- In the measurement of high-speed flow field, the environmental background interference is relatively large. Using this high-throughput feature, the signal-to-noise ratio of rainbow schlieren measurement can be improved.
通过这种方法,采用单光子探测器与稀疏欠采样结合,实现量子彩虹纹影测量方法,可以实现对远距离流场的物理特征获。Through this method, the combination of single-photon detector and sparse undersampling is used to realize the quantum rainbow schlieren measurement method, and the physical characteristics of the long-distance flow field can be obtained.
稀疏彩虹纹影测量是高精密光学测量领域的一个重要发展方向,在热流与燃气流等方面有显著的优点,是一种非接触的高精度光学测量技术。Sparse rainbow schlieren measurement is an important development direction in the field of high-precision optical measurement. It has significant advantages in heat flow and gas flow, and is a non-contact high-precision optical measurement technology.
附图说明Description of drawings
图1为本发明彩虹纹影测量成像系统的结构示意图。FIG. 1 is a schematic structural diagram of the rainbow schlieren measurement imaging system of the present invention.
图2为本发明虹纹影测量成像系统的基于棱镜与狭缝结构的压缩感知的彩虹纹影测量成像系统的结构示意图。FIG. 2 is a structural schematic diagram of the rainbow schlieren measurement and imaging system based on the compressive sensing of the prism and slit structure of the schlieren measurement and imaging system of the present invention.
其中:光源1;第一聚焦透镜2;狭缝光阑3;第一准直透镜4;第一反射镜5;流畅观测区域6;第二反射镜7;第二聚焦透镜8;彩虹滤波片9;第二准直透镜10;数字微阵列反射镜11;汇聚透镜12;三色单点光电探测器13;压缩算法模块14;色散棱镜15;狭缝16。Among them: light source 1; first focusing lens 2; slit stop 3; first collimating lens 4; first mirror 5; smooth observation area 6; second mirror 7; second focusing lens 8; rainbow filter 9; second collimating lens 10; digital microarray mirror 11; converging lens 12; three-color single-point photodetector 13; compression algorithm module 14; dispersion prism 15; slit 16.
具体实施方式Detailed ways
下文中将结合附图对本发明的实施例进行详细说明。需要说明的是,在不冲突的情况下,本申请中的实施例及实施例中的特征可以相互任意组合。Embodiments of the present invention will be described in detail below in conjunction with the accompanying drawings. It should be noted that, in the case of no conflict, the embodiments in the present application and the features in the embodiments can be combined arbitrarily with each other.
本发明将压缩感知理论与彩虹纹影测量相结合,创造性的提出稀疏彩虹纹影测量方法,具有高通量、高信噪比、快速灵活的特点,适宜于常规光强、弱光、微弱光、超微弱光和单光子彩虹纹影测量方式,是一种大动态范围的稀疏彩虹纹影测量方法。本发明的基于压缩感知的彩虹纹影测量成像系统及方法采用了压缩感知(Compressive Sensing,简称CS)原理,能以随机采样的方式、通过更少的数据采样数(远低于奈奎斯特/香农采样定理的极限)完美地恢复原始信号。首先利用先验知识,选取合适的稀疏基Ψ,使得点扩散函数x经Ψ变换后得到x’是最为稀疏的;在已知测量值向量y、测量矩阵A和稀疏基Ψ的条件下,建立起数学模型y=AΨx'+e,通过压缩感知算法进行凸优化,得到x’后,再由反演出x;然后通过偏移量计算出偏转角、再计算出流场密度,由此计算出流场温度分布情况;目前,彩虹纹影测量有基于棱镜狭缝法、滤光片狭缝法、三色滤光片发、多色滤光片等方法。The present invention combines compressed sensing theory with rainbow schlieren measurement, and creatively proposes a sparse rainbow schlieren measurement method, which has the characteristics of high throughput, high signal-to-noise ratio, fast and flexible, and is suitable for conventional light intensity, weak light, and weak light , ultra-weak light and single-photon rainbow schlieren measurement method, which is a sparse rainbow schlieren measurement method with a large dynamic range. The rainbow schlieren measurement imaging system and method based on compressed sensing of the present invention adopts the principle of compressed sensing (Compressive Sensing, referred to as CS), which can be randomly sampled with fewer data samples (far lower than Nyquist / the limit of Shannon's sampling theorem) perfectly recovers the original signal. First, use prior knowledge to select a suitable sparse basis Ψ, so that the point spread function x is transformed by Ψ to obtain x' which is the most sparse; under the condition of known measured value vector y, measurement matrix A and sparse basis Ψ, establish Starting from the mathematical model y=AΨx'+e, the convex optimization is carried out through the compressed sensing algorithm, and after obtaining x', the Invert x; then calculate the deflection angle through the offset, and then calculate the flow field density, and then calculate the temperature distribution of the flow field; at present, the rainbow schlieren measurement is based on the prism slit method and the filter slit method , three-color filter hair, multi-color filter and other methods.
以上是对压缩感知理论算法和彩虹纹影测量方法的的说明,以下将结合压缩感知原理具体描述本发明的成像测量系统。The above is the description of the compressive sensing theory algorithm and the rainbow schlieren measurement method, and the imaging measurement system of the present invention will be described in detail below in combination with the compressive sensing principle.
彩虹纹影测量成像系统第一实施例The first embodiment of the rainbow schlieren measurement imaging system
参考图1所示,本实施例的彩虹纹影测量成像系统包括光源1以及沿光源1输出光信号路径依次设置的第一聚焦透镜2、狭缝光阑3、第一准直透镜4、第二聚焦透镜8、彩虹滤波片9、第二准直透镜10、数字微阵列反射镜11、汇聚透镜12和三色单点光电探测器13。流畅观测区域6位于第一准直透镜4和第二聚焦透镜8之间。压缩算法模块14与三色单点光电探测器13电信号连接,用于重构彩色图像,依据图像的彩虹纹影计算方法计算出观测流场的密度变化分布。Referring to Fig. 1, the rainbow schlieren measurement and imaging system of this embodiment includes a light source 1 and a first focusing lens 2, a slit stop 3, a first collimating lens 4, a first Two focusing lenses 8 , a rainbow filter 9 , a second collimating lens 10 , a digital microarray mirror 11 , a converging lens 12 and a three-color single-point photodetector 13 . The smooth viewing area 6 is located between the first collimating lens 4 and the second focusing lens 8 . The compression algorithm module 14 is electrically connected with the three-color single-point photodetector 13, and is used for reconstructing the color image, and calculates the density change distribution of the observed flow field according to the rainbow schlieren calculation method of the image.
根据图1所示,为调节光源1输出光信号的路径,本实施例中还包括反射镜单元,反射镜单元包括第一反射镜5和第二反射镜7,第一反射镜5设于第一准直透镜4和流场观测区域6之间,用于将第一准直透镜4的出射光反射进入流场观测区域6;第二反射镜7设于流场观测区域6与第二聚焦透镜8之间,用于将流场观测区域6的出射光反射至第二聚焦透镜8。As shown in FIG. 1 , in order to adjust the path of the optical signal output by the light source 1, a reflector unit is also included in this embodiment. The reflector unit includes a first reflector 5 and a second reflector 7, and the first reflector 5 is arranged on the second reflector 7. Between a collimating lens 4 and the flow field observation area 6, it is used to reflect the outgoing light of the first collimating lens 4 into the flow field observation area 6; the second reflector 7 is arranged at the flow field observation area 6 and the second focusing Between the lenses 8 , it is used to reflect the outgoing light of the flow field observation area 6 to the second focusing lens 8 .
由光源1输出光信号,经过第一聚焦透镜2聚焦后,通过狭缝光阑3滤除杂散背景光,然后通过第一准直透镜4扩束准直后,经过第一反射镜5反射后入射到流场观测区域6,然后经由第二反射镜7反射输入到第二聚焦透镜8汇聚后,经彩虹滤光片9在透镜焦点处将偏折后的光转换为不同颜色的彩色图像,然后经第二准直透镜10准直后入射到数字微阵列反射镜11,对光场进行随机调制后,经汇聚透镜12汇聚后入射到三色单点光电探测器13,再经过压缩算法模块14重构图像,彩色图像,最后通过对图像的彩虹纹影计算方法计算出观测流场的密度变化分布。The optical signal is output by the light source 1, after being focused by the first focusing lens 2, the stray background light is filtered by the slit diaphragm 3, and then the beam is expanded and collimated by the first collimating lens 4, and then reflected by the first reflector 5 After entering the flow field observation area 6, it is reflected by the second mirror 7 and input to the second focusing lens 8. After converging, the deflected light is converted into a color image of different colors at the focal point of the lens by the rainbow filter 9 , and then collimated by the second collimating lens 10, it is incident on the digital microarray reflector 11, after the light field is randomly modulated, it is converged by the converging lens 12 and then incident on the three-color single-point photodetector 13, and then through the compression algorithm Module 14 reconstructs the image, the color image, and finally calculates the distribution of density changes in the observed flow field through the rainbow schlieren calculation method on the image.
本实施例中光源1是白光光源,经过第一聚焦透镜2聚焦后,再照射到狭缝光阑3上形成白光点光源,其中白光光源可以由氙灯、卤素灯等组成白光光源;也可以是采用激光驱动光源技术的超宽波段光源,波长范围可以包含170nm-2100nm,输出光功率高,发光稳定性高,工作寿命长;另外,也可以采用多波长固态光源,即利用多种激励源驱动光导管发光的光源。In this embodiment, the light source 1 is a white light source. After being focused by the first focusing lens 2, it is irradiated onto the slit diaphragm 3 to form a white light point source. The white light source can be composed of a xenon lamp, a halogen lamp, etc.; it can also be Ultra-broadband light source using laser-driven light source technology, the wavelength range can include 170nm-2100nm, high output optical power, high luminous stability, and long working life; in addition, multi-wavelength solid-state light sources can also be used, that is, driven by multiple excitation sources A light source that emits light from the light pipe.
狭缝光阑3获取彩虹纹影测量所需要的白光点光源,通过狭缝光阑形成的白光点光源通过光扩束准直透镜4扩束准直后,输入到反射镜5反射到流场观测区域中;其中狭缝光阑3实现彩虹纹影测量所需要的点光源,同时消除背景杂散光,提高光路系统的信噪比;狭缝光阑包括狭缝和针孔光阑,光阑可以是通过手动或电动调节或更换的光阑部件,也可以是固定尺寸的标准型光阑等。The slit diaphragm 3 obtains the white light point light source required for rainbow schlieren measurement, and the white light point light source formed by the slit diaphragm is expanded and collimated by the beam expander and collimator lens 4, and then input to the mirror 5 and reflected to the flow field In the observation area; among them, the slit aperture 3 realizes the point light source required for rainbow schlieren measurement, eliminates background stray light at the same time, and improves the signal-to-noise ratio of the optical path system; the slit aperture includes a slit and a pinhole aperture, and the aperture It can be a diaphragm part that can be adjusted or replaced manually or electrically, or a standard diaphragm with a fixed size, etc.
第一反射镜5和第二反射镜7,扩束后的白光通过反射镜5,通过流场观测区域6后,照射到第二反射镜7上,然后反射至第二聚焦透镜8上;其中,所采用的反射镜包括宽带介质膜反射镜、金属膜反射镜、介质激光线反射镜、冷热反射镜等,也包含超快、背面抛光、圆形和方形、D形、凹形、圆柱凹面、利州抛物面、椭圆反射镜等,另外,也包含用于反射的分束器、棱镜等无源或有源光学元件;上述这些光学元件必须是宽波长范围元件,能够使白光光源全部进入光学系统。The first reflector 5 and the second reflector 7, the white light after beam expansion passes through the reflector 5, passes through the flow field observation area 6, then irradiates the second reflector 7, and then reflects to the second focusing lens 8; , the mirrors used include broadband dielectric film mirrors, metal film mirrors, dielectric laser line mirrors, cold and hot mirrors, etc., and also include ultra-fast, back-polished, round and square, D-shaped, concave, cylindrical Concave surface, Lizhou paraboloid, elliptical mirror, etc., in addition, it also includes passive or active optical components such as beam splitters and prisms for reflection; these optical components must be wide wavelength range components, which can make all white light sources enter optical system.
流场观测区域6是光与流场相互作用的区域,可以用于微重力火焰燃烧流场测量、风洞流场测量、落塔燃烧流场测量、火箭燃烧流场测量、液体流场测量、叶片旋流测量、气体射流测量等领域;可以应用于对称流场、非对称流场、超声速流场、气体混合流场、两维非稳定流场、三维流场测量等。彩虹滤光片9,通过反射镜7,经流场偏折的光线经聚焦透镜8聚焦,将彩虹滤光片放在聚焦透镜焦点处将偏折后的光转换为不同颜色的彩色图像。彩色图像的不同颜色代表光线偏转的不同偏移量,根据聚焦透镜的焦距及偏移量由此可以计算光线的偏转角,从而计算出密度梯度,再算出密度场;彩虹滤光片制作是采用胶卷单反相机将所设计的滤光片拍摄在胶卷底片上,使用冲洗后的胶卷底片作为彩虹滤光片,在实验过程中,根据实际光强选择相适应的曝光时间,另外,根据光线在流场中最大偏转角,确定出彩虹滤光片实际的长度;为了准确地测量流场的参数,需要对彩虹滤光片进行标定,在固定的偏转位移量,根据所获得的色度值进行曲线拟合,然后将经过标定后的拟合曲线参数与实际测量的数据进行对比获取准确率高的光线偏折偏移量;另外也可以使用非线性渐变彩虹滤光片和二维色度变化的彩虹滤光片。Flow field observation area 6 is the area where light and flow field interact, and can be used for microgravity flame combustion flow field measurement, wind tunnel flow field measurement, drop tower combustion flow field measurement, rocket combustion flow field measurement, liquid flow field measurement, Blade swirl measurement, gas jet measurement and other fields; can be applied to symmetric flow field, asymmetric flow field, supersonic flow field, gas mixing flow field, two-dimensional unsteady flow field, three-dimensional flow field measurement, etc. The rainbow filter 9 passes through the reflector 7, and the light deflected by the flow field is focused by the focusing lens 8, and the rainbow filter is placed at the focal point of the focusing lens to convert the deflected light into color images of different colors. The different colors of the color image represent different offsets of light deflection. According to the focal length and offset of the focusing lens, the deflection angle of light can be calculated, thereby calculating the density gradient and then calculating the density field; the rainbow filter is made by using The film SLR camera shoots the designed filter on the film negative, and uses the developed film negative as the rainbow filter. During the experiment, choose the appropriate exposure time according to the actual light intensity. In addition, according to the light flow The maximum deflection angle in the field determines the actual length of the rainbow filter; in order to accurately measure the parameters of the flow field, the rainbow filter needs to be calibrated, and the curve is drawn according to the obtained chromaticity value at a fixed deflection displacement Fitting, and then compare the calibrated fitting curve parameters with the actual measured data to obtain the light deflection offset with high accuracy; in addition, nonlinear gradient rainbow filters and two-dimensional chromaticity changes can also be used Rainbow filter.
数字微阵列反射镜11,经准直透镜10准直后的光照射到数字微阵列反射镜11上,然后对偏折后的彩色图像进行随机空间光调制后,通过汇聚透镜12对随机调制后的编码图像成像,然后输入到三色单点光电探测器13;其中数字阵列反射镜也可以采用反射式和透射式液晶空间光调制器等其他可调节的空间光调制器。The digital microarray mirror 11, the light collimated by the collimating lens 10 is irradiated onto the digital microarray mirror 11, and then the deflected color image is subjected to random spatial light modulation, and the randomly modulated The coded image is imaged, and then input to the three-color single-point photodetector 13; the digital array mirror can also use other adjustable spatial light modulators such as reflective and transmissive liquid crystal spatial light modulators.
汇聚透镜单元由汇聚透镜12将数字微阵列反射透镜11随机光调制后的图像汇聚到一点,然后入射到对应的三色单点光电探测器13,通过汇聚透镜12实现高通量成像,可以应用于弱光、超弱光合单光子彩虹纹影测量成像方面。The converging lens unit converges the image modulated by the digital microarray reflective lens 11 to one point by the converging lens 12, and then enters the corresponding three-color single-point photodetector 13, and realizes high-throughput imaging through the converging lens 12, which can be applied In weak light, ultra-weak photosynthetic single-photon rainbow schlieren measurement and imaging.
三色单点光电探测器13接收汇聚透镜12汇聚后的光信号,然后输入到对应压缩算法模块14,其中所述三色单点光电探测器可以采用可见光光电探测器或单光子探测器;其中单光子探测器可以是可见光雪崩二极管,固态光电倍增管,超导单光子探测器等;其中三色单点探测器内包含三个独立光电探测元件,每个元件前端安装一个微透镜及红蓝绿三色滤光片,分别探测红蓝绿三个波长的光,然后采用三元色调色板算法重构出彩色图像。The three-color single-point photodetector 13 receives the optical signal converged by the converging lens 12, and then inputs it to the corresponding compression algorithm module 14, wherein the three-color single-point photodetector can be a visible light photodetector or a single-photon detector; wherein Single-photon detectors can be visible light avalanche diodes, solid-state photomultiplier tubes, superconducting single-photon detectors, etc.; the three-color single-point detector contains three independent photodetection elements, each element is equipped with a microlens and red and blue The green three-color filter detects the light of three wavelengths of red, blue and green respectively, and then uses the three-color palette algorithm to reconstruct a color image.
压缩算法模块14采用下列任意一种算法实现压缩感知:贪心重建算法、匹配跟踪算法MP、正交匹配跟踪算法OMP、基跟踪算法BP、LASSO、LARS、GPSR、贝叶斯估计算法、magic、IST、TV、StOMP、CoSaMP、LBI、SP、l1_ls、smp算法、SpaRSA算法、TwIST算法、l0重建算法、l1重建算法、l2重建算法等,稀疏基可采用离散余弦变换基、小波基、傅里叶变换基、梯度基、gabor变换基等;通过使用上述压缩算法模块重构出红蓝绿三个波长的图像,然后再通过红蓝绿三色调色算法重构彩色图像。The compression algorithm module 14 adopts any of the following algorithms to realize compressed sensing: greedy reconstruction algorithm, matching tracking algorithm MP, orthogonal matching tracking algorithm OMP, base tracking algorithm BP, LASSO, LARS, GPSR, Bayesian estimation algorithm, magic, IST , TV, StOMP, CoSaMP, LBI, SP, l1_ls, smp algorithm, SpaRSA algorithm, TwIST algorithm, l0 reconstruction algorithm, l1 reconstruction algorithm, l2 reconstruction algorithm, etc. The sparse base can use discrete cosine transform base, wavelet base, Fourier Transformation basis, gradient basis, gabor transformation basis, etc.; by using the above-mentioned compression algorithm module to reconstruct the image of the three wavelengths of red, blue and green, and then reconstruct the color image through the red, blue and green three-color color algorithm.
数字微阵列反射镜11与三色单点光电探测器13之间需同步,数字微阵列反射镜11中的微镜阵列每翻转一次,三色单点光电探测器13在该翻转时间间隔内累计探测到达所有光强,实现光电信号采集转换,然后送到对应的压缩算法模块14。Synchronization is required between the digital microarray reflector 11 and the three-color single-point photodetector 13. Every time the micromirror array in the digital microarray reflector 11 is flipped over, the three-color single-point photodetector 13 accumulates a total amount of time in the flip time interval. All light intensities are detected to realize photoelectric signal acquisition and conversion, and then sent to the corresponding compression algorithm module 14 .
彩虹纹影测量成像系统第二实施例The second embodiment of the rainbow schlieren measurement imaging system
如图2所示,本实施例彩虹纹影测量成像系统采用的是棱镜狭缝法,其与第一实施例的区别在于:在系统中使用白光光源,在第一聚焦透镜2和第一准直透镜4之间放置色散棱镜15,在第二聚焦透镜8和第二准直透镜10之间放置狭缝16,构成基于棱镜狭缝方式的压缩感知彩虹纹影测量成像系统及方法。As shown in Figure 2, the rainbow schlieren measurement and imaging system of this embodiment adopts the prism slit method. A dispersion prism 15 is placed between the straight lenses 4, and a slit 16 is placed between the second focusing lens 8 and the second collimating lens 10 to form a compressed sensing rainbow schlieren measurement imaging system and method based on the prism slit method.
彩虹纹影测量成像方法实施例Embodiment of Rainbow Schlieren Measurement and Imaging Method
本实施例彩虹纹影测量成像方法包括:The imaging method for rainbow schlieren measurement in this embodiment includes:
步骤1,由光源1输出光信号,经过第一聚焦透镜2聚焦后,通过狭缝光阑3滤除杂散背景光后形成点光源;Step 1, the light signal is output by the light source 1, and after being focused by the first focusing lens 2, the stray background light is filtered through the slit diaphragm 3 to form a point light source;
步骤2,通过第一准直透镜4扩束准直后,经过第一反射镜5反射后入射到流场观测区域6;Step 2: After the beam is expanded and collimated by the first collimating lens 4, it is reflected by the first mirror 5 and then incident on the flow field observation area 6;
步骤3,经由第二反射镜7反射输入到第二聚焦透镜8汇聚后,经彩虹滤光片9在第二聚焦透镜8的焦点处将偏折后的光转换为不同颜色的彩色图像;Step 3, after the input is reflected by the second mirror 7 and converged by the second focusing lens 8, the deflected light is converted into a color image of different colors at the focal point of the second focusing lens 8 through the rainbow filter 9;
步骤4,然后经第二准直透镜10准直后入射到数字微阵列反射镜11,对光场进行随机调制后;Step 4, after being collimated by the second collimating lens 10, it is incident on the digital microarray reflector 11, and the light field is randomly modulated;
步骤5,经汇聚透镜12汇聚后入射到三色单点光电探测器13,三色单点光电探测器13将转换得到的电信号输送至压缩算法模块14;Step 5, after being converged by the converging lens 12, it is incident on the three-color single-point photodetector 13, and the three-color single-point photodetector 13 sends the converted electrical signal to the compression algorithm module 14;
步骤,6,压缩算法模块14重构彩色图像,通过对图像的彩虹纹影计算方法计算出观测流场的密度变化分布。In step 6, the compression algorithm module 14 reconstructs the color image, and calculates the density change distribution of the observed flow field through the rainbow schlieren calculation method on the image.
上述步骤2中,经过第一准直透镜4扩束准直后的光束经第一反射镜5反射后入射到流场观测区域6。In the above step 2, the beam expanded and collimated by the first collimating lens 4 is reflected by the first mirror 5 and then enters the flow field observation area 6 .
上述步骤3中,由所述流场观测区域6出射的光束经第二反射镜7反射至所述第二聚焦透镜8汇聚。In the above step 3, the light beam emitted from the flow field observation area 6 is reflected by the second mirror 7 to the second focusing lens 8 for convergence.
所述数字微阵列反射镜单元能将信息加载于一维或两维的光学数据场上,是实时光学信息处理、自适应光学和光计算等现代光学领域的关键器件,这类器件可在随时间变化的电驱动信号或其他信号的控制下,改变空间上光分布的振幅或强度、相位、偏振态以及波长,或者把非相干光转化成相干光。其种类有很多种,主要有数字微镜器件(Digital Micro-mirror Device,简称DMD)、毛玻璃、液晶光阀等,这里所用到的调制为包括振幅调制在内的光强调制。The digital microarray mirror unit can load information on a one-dimensional or two-dimensional optical data field, and is a key device in modern optical fields such as real-time optical information processing, adaptive optics and optical computing. Under the control of changing electrical driving signals or other signals, the amplitude or intensity, phase, polarization state and wavelength of the light distribution in space are changed, or incoherent light is converted into coherent light. There are many types, mainly including digital micro-mirror device (Digital Micro-mirror Device, referred to as DMD), frosted glass, liquid crystal light valve, etc. The modulation used here is light intensity modulation including amplitude modulation.
本实施例中所采用的DMD是包含有成千上万个安装在铰链上的微镜的阵列(主流的DMD由1024×768的阵列构成,最大可至2048×1152),每一镜片的尺寸为14μm×14μm(或16μm×16μm)并可以通断一个像素的光,这些微镜皆悬浮着,通过对每一个镜片下的存储单元都以二进制平面信号进行电子化寻址,便可让每个镜片以静电方式向两侧倾斜10~12°左右(本实施例中取+12°和-12°),把这两种状态记为1和0,分别对应“开”和“关”,当镜片不工作时,它们处于0°的“停泊”状态。The DMD used in this embodiment is an array containing tens of thousands of micromirrors mounted on hinges (mainstream DMDs are composed of 1024×768 arrays, up to 2048×1152), and the size of each lens It is 14μm×14μm (or 16μm×16μm) and can turn on and off the light of a pixel. These micromirrors are all suspended. A lens is electrostatically tilted to both sides by about 10-12° (in this embodiment, +12° and -12° are taken), and these two states are recorded as 1 and 0, corresponding to "on" and "off", respectively. When the lenses are not operating, they are in a "parked" state of 0°.
本发明将压缩感知理论与彩虹纹影测量相结合,创造性的提出稀疏彩虹纹影测量方法,具有高通量、高信噪比、快速灵活的特点,适宜于常规光强、弱光、微弱光、超微弱光和单光子彩虹纹影测量方式,是一种大动态范围的稀疏彩虹纹影测量方法。The present invention combines compressed sensing theory with rainbow schlieren measurement, and creatively proposes a sparse rainbow schlieren measurement method, which has the characteristics of high throughput, high signal-to-noise ratio, fast and flexible, and is suitable for conventional light intensity, weak light, and weak light , ultra-weak light and single-photon rainbow schlieren measurement method, which is a sparse rainbow schlieren measurement method with a large dynamic range.
1)采用压缩感知与彩虹纹影测量相结合可以实现高通量彩虹纹影测量,经典彩虹纹影测量技术在火焰、风洞、气流等方面测量过程中信噪比较低,尤其是在高速、超高速流场测量中环境背景干扰较大,利用这种高通量特点,可以提高彩虹纹影测量的信噪比。1) The combination of compressed sensing and rainbow schlieren measurement can realize high-throughput rainbow schlieren measurement. The classic rainbow schlieren measurement technology has a low signal-to-noise ratio in the measurement process of flame, wind tunnel, air flow, etc., especially at high speed 1. The environmental background interference is relatively large in ultra-high-speed flow field measurement. Using this high-throughput feature can improve the signal-to-noise ratio of rainbow schlieren measurement.
2)通过这种方法,采用单光子探测器与稀疏欠采样结合,实现量子彩虹纹影测量方法,可以实现对远距离流场的物理特征获。2) Through this method, the combination of single photon detector and sparse undersampling is used to realize the quantum rainbow schlieren measurement method, which can realize the physical characteristics of the long-distance flow field.
3)稀疏彩虹纹影测量是高精密光学测量领域的一个重要发展方向,在热流与燃气流等方面有显著的优点,是一种非接触的高精度光学测量技术。3) Sparse rainbow schlieren measurement is an important development direction in the field of high-precision optical measurement. It has significant advantages in heat flow and gas flow, and is a non-contact high-precision optical measurement technology.
专业人员应该还可以进一步意识到,结合本文中所公开的实施例描述的各示例的单元及算法步骤,能够以电子硬件、计算机软件或者二者的结合来实现,为了清楚地说明硬件和软件的可互换性,在上述说明中已经按照功能一般性地描述了各示例的组成及步骤。这些功能究竟以硬件还是软件方式来执行,取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用来使用不同方法来实现所描述的功能,但是这种实现不应认为超出本发明的范围。Professionals should further realize that the units and algorithm steps described in conjunction with the embodiments disclosed herein can be implemented by electronic hardware, computer software, or a combination of the two. In order to clearly illustrate the relationship between hardware and software Interchangeability. In the above description, the composition and steps of each example have been generally described according to their functions. Whether these functions are executed by hardware or software depends on the specific application and design constraints of the technical solution. Those skilled in the art may use different methods to implement the described functions for each specific application, but such implementation should not be regarded as exceeding the scope of the present invention.
结合本文中所公开的实施例描述的方法或算法的步骤可以用硬件、处理器执行的软件模块,或者二者的结合来实施。软件模块可以置于随机存储器(RAM)、内存、只读存储器(ROM)、电可编程ROM、电可擦除可编程ROM、寄存器、硬盘、可移动磁盘、CD-ROM、或技术领域内所公知的任意其它形式的存储介质中。The steps of the methods or algorithms described in connection with the embodiments disclosed herein may be implemented by hardware, software modules executed by a processor, or a combination of both. Software modules can be placed in random access memory (RAM), internal memory, read-only memory (ROM), electrically programmable ROM, electrically erasable programmable ROM, registers, hard disk, removable disk, CD-ROM, or any other Any other known storage medium.
以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本领域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.
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