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CN103871387A - Image sampling method based on liquid crystal display light modulation - Google Patents

Image sampling method based on liquid crystal display light modulation Download PDF

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CN103871387A
CN103871387A CN 201410131479 CN201410131479A CN103871387A CN 103871387 A CN103871387 A CN 103871387A CN 201410131479 CN201410131479 CN 201410131479 CN 201410131479 A CN201410131479 A CN 201410131479A CN 103871387 A CN103871387 A CN 103871387A
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liquid
crystal
display
light
method
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CN 201410131479
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CN103871387B (en )
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曹章
徐立军
周家怡
魏天啸
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北京航空航天大学
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Abstract

The invention provides an image sampling method based on liquid crystal display light modulation. Elements of a liquid crystal display, a liquid crystal display driving control circuit, a Fourier lens and a photodiode are adopted in the method. The method comprises the following steps that light emitted by a measured object is imaged to the liquid crystal display through an optical imaging part, each pixel of the liquid crystal display is equivalent to a photoswitch, and the liquid crystal display driving circuit controls rotation of liquid crystal to change light transmittance of the liquid crystal, so that rays transmit through the liquid crystal display in a selective mode. A programmable measurement matrix is physically achieved through change of the light transmittance of the liquid crystal display. The rays transmitting through the liquid crystal display are emitted into the Fourier lens. The photodiode receives light intensity at the focus position of the lens, integration is conducted on the light intensity, and an obtained result is equivalent to an observed value in the compressive sensing theory. The image sampling method based on liquid crystal display light modulation is simple in structure and low in cost, and has good use value and wide application prospects in the fields of optical imaging and image acquisition.

Description

一种基于液晶屏光调制的图像采样方法(-)技术领域 An image sampling light modulation liquid crystal panel based on (-) Technical Field

[0001]本发明涉及将压缩传感理论应用于图像采集的技术领域,特别涉及一种将液晶屏作为观测矩阵的物理实现方式的新型压缩采样方法。 [0001] The present invention relates to compressed sensing Field theory to image acquisition, and particularly relates to a liquid crystal panel as a physical observation matrix a novel way to achieve compression sampling methods.

(二)背景技术 (B) Background Art

[0002] 传统的信号采集以奈奎斯特采样定理为基础,在获取信号时,采样频率必须大于信号中最高频率的两倍,才能精确重构信号。 [0002] The conventional signal acquisition Nyquist sampling theorem, based upon the signal acquisition, the sampling frequency must be greater than twice the highest frequency signals in order to accurately reconstruct the signal. 但是随着科技的迅速发展,高分辨率的数码设备采样产生了庞大的数据,如何更高效地处理这些数据并最大限度地节省存储和传输成本是一大难题,给信号处理能力提出了更高要求,也给相应的硬件设备带来了极大挑战。 But with the rapid development of science and technology, high-resolution digital sampling device generates a huge data, how to process the data more efficiently and maximize the save storage and transport costs are a major problem, to a higher signal processing capabilities requirements, but also brought great challenges to the appropriate hardware. 实际上,传统采样得到的大部分数据是不重要的,在信号或图像的处理过程中,只保留某些重要的数据,舍弃大量的冗余数据,重构后的信号或图像并不会引起视觉上的差异。 In fact, most of the data obtained by the traditional sampling is unimportant, in the signal processing or image, leaving only some important data, give up a lot of redundant data, signal or image reconstructed and will not cause visual difference. 由于采集到的数据大部分都是不重要的,可以被丢弃,那么可以直接采集那部分重要的、最后没有被丢弃的数据,并且能够精确地重构原始信号或图像,这便是压缩传感理论的思想。 Since most of the data collected is not important, it can be discarded, it can be collected directly important that part of the last data is not discarded, and is able to accurately reconstruct the original signal or image, which is compressed sensing thought and theory.

[0003]压缩传感理论是由Cand6s和Donoho在相关研究的基础上于2006年正式提出的。 [0003] compressive sensing theory is Cand6s and Donoho on the basis of relevant studies in 2006 formally proposed. 其核心思想是将压缩与采样合并进行。 The core idea is to merge with the sampling compression. 首先采集信号的非自适应线性投影(测量值),然后根据相应重构算法由测量值重构原始信号。 Non-adaptive linear projection (measured value), then the algorithm to reconstruct the original signal is reconstructed from the measured values ​​according to the corresponding First signal acquisition 压缩传感的优点在于信号的投影测量数据量远远小于传统采样方法所获的数据量,并且能够抑制随机噪声。 Advantage is to measure the amount of compressed sensing the projection data signals is much smaller than the amount of data obtained in conventional sampling methods, and the random noise can be suppressed. 该原理先压缩采样,将被测信号由高维向低维映射并对其进行采样,选取合适的稀疏表示基Ψ,使得原始信号f经Ψ变换所得向量X是稀疏的。 The first compressed sampling principle, the measured signal is sampled by a high-dimensional to low-dimensional mapping and its select suitable sparse representation group [Psi], so that the original signal f obtained by the transformed vector [Psi] X is sparse. 然后根据观测数据y、观测矩阵Φ和稀疏表示基Ψ,选取特定算法求解y=ΦΨχ,最后由f=Wx反演出原始信号f。 The observed data then y, represents the observation matrix Φ and sparse group Ψ, select a specific algorithm y = ΦΨχ, and finally by f = Wx inverse the original signal f.

[0004]自压缩传感提出以来,学者们在光学成像领域对其开展了广泛的应用研究。 [0004] Since the proposed compressed sensing, scholars in the field of optical imaging applications it has carried out extensive research. 如颗粒粒度测量、单像素相机、超薄成像系统、多路技术智能成像、多光谱成像、CMOS低数据率成像、核磁共振成像、天文观测等。 The particle size measurement, single-pixel camera, thin imaging systems, multiplexing intelligent imaging, multispectral imaging, the CMOS low data rate imaging, magnetic resonance imaging, astronomical observation and the like. 例如,专利(编号:201210058483.1)“光子计数压缩采样相控阵激光三维成像方法”用液晶光学相控阵调制照明激光,按照压缩采样所用的测量矩阵照射目标,由盖革模式雪崩光电二极管(APD)接收目标回波信号和时间相关单光子计数器随时间变换返回的光子数,最后通过压缩采样恢复算法重构三维图像。 For example, Patent (No: 201210058483.1) "photon counting compressed sampling phased array laser three-dimensional imaging method," a liquid crystal optical phased array modulating the illumination laser, the measurement matrix irradiation target sample used in accordance with the compression, a Geiger-mode avalanche photodiode (APD ) receiving target echo signals and time-correlated single photon counting over time the number of photons converted returned, three-dimensional image reconstruction algorithm by compressing the sample was finally restored. 上述专利中涉及测量矩阵仅实现对发射端的信号的调制,并未考虑接收端信号的压缩传感实现方式。 The above patent relates only to achieve modulation of the measurement matrix of the signal transmitting end, the receiving end does not consider the compression sensing signal implementation.

[0005] 液晶屏以瘦显材料为基本组件,在两块平行玻璃板之间填充液晶材料,通过电压来改变液晶材料内部分子的排列状况,以达到遮光和透光的目的,来显示深浅不一,错落有致的图像。 [0005] In the liquid crystal panel assembly substantially thin material is substantially filled with liquid crystal material between two parallel glass plates, to change the arrangement of molecules within the liquid crystal material condition by the voltage, for the purpose of shielding and transparent, not to display the depth a patchwork of images. 而且只要在两块平板间再加上三元色的滤光层,就可实现显示彩色图像。 And as long as two plates coupled between the filter layer three primary colors, a color image display can be realized. 液晶屏功耗很低,因此倍受工程师青睐,适用于使用电池的电子设备。 LCD power consumption is very low, so much favored by engineers for electronic devices use batteries.

[0006] 本发明采用去掉背光的单色可调灰度的液晶屏。 [0006] The present invention employs a tunable monochromatic gradation remove backlight LCD screen. 液晶屏的每个像素相当于一个光开关,液晶屏驱动电路控制液晶的扭转,以改变其透光率,使光线有选择地透过液晶屏。 Each LCD pixel corresponds to a light switch, a control circuit driving the liquid crystal panel of the liquid crystal twist to change light transmittance, so that the light is selectively transmitted through the liquid crystal panel. 通过液晶屏的透光率变化,物理上实现一个可编程的观测矩阵。 By variation of the light transmittance of the liquid crystal panel, to implement a programmable physical observation matrix.

(三)发明内容[0007] 如何将压缩感知成功运用到光学成像中,关键是如何正确地获取图像的压缩采样。 (Iii) Disclosure of the Invention [0007] The compressed sensing how successfully applied to optical imaging, the key is how to correctly obtain compressed image sampling. 从各成像方法上看,除了CMOS成像外,其余都涉及到了编码模式。 Seen from the respective image forming method, in addition to a CMOS imager, the rest are related to the encoding mode. 编码模式大多数都是靠光学系统实现,一旦掩膜制作完成,其编码模式也就固定,无法改变。 Most of coding modes are achieved by an optical system, once the mask is finished, it will fix coding mode can not be changed. 像数字微镜阵列(Digital Mirror Device,DMD)这种具有可编程性的编码实现方式,虽然灵活方便,但将其运用到成像系统会增加光路的复杂性,影响系统可靠性。 Such as digital micro-mirror array (Digital Mirror Device, DMD) having this programmability coding implementations, though flexible, but applying it to the imaging system increases the complexity of the optical path, affect system reliability. 而且,DMD只能实现二进制的观测矩阵。 Moreover, DMD can only achieve binary observation matrix.

[0008] 本发明提出一种新的压缩采样方式,采用液晶屏作为观测矩阵Φ的物理实现方式。 [0008] The present invention proposes a new way of compressed samples, using a liquid crystal panel as a physical implementation of the observation matrix Φ.

[0009] 所用元件包括:液晶屏、液晶屏驱动控制电路、傅里叶透镜、光电二极管。 [0009] As used element comprising: a liquid crystal panel, the liquid crystal panel drive control circuit, a Fourier lens, a photodiode.

[0010] 本发明采用的技术方案是:所测物体发出的光经光学成像部件成像在液晶屏上。 Technical Solution [0010] the present invention is that: the imaging optical components of the imaging light is emitted by the object as measured on the LCD screen. 液晶屏的每个像素相当于一个光开关,液晶屏驱动电路控制液晶的扭转,以改变其透光率,使光线有选择地透过液晶屏。 Each LCD pixel corresponds to a light switch, a control circuit driving the liquid crystal panel of the liquid crystal twist to change light transmittance, so that the light is selectively transmitted through the liquid crystal panel. 通过液晶屏的透光率变化,物理上实现一个可编程的观测矩阵。 By variation of the light transmittance of the liquid crystal panel, to implement a programmable physical observation matrix. 透过液晶屏的光线射入傅里叶透镜。 A Fourier lens incident light through the liquid crystal panel. 光电二极管在透镜焦点处接收光强,通过对光强积分,得到的结果相当于压缩传感理论中的观测值y。 Photodiode receives light intensity at the focal point of the lens, light intensity by integrating the resulting value y corresponding to the observed compression sensing theory.

[0011] 本发明的优点在于:具有类似DMD元件的可编程性。 [0011] The advantage of the present invention comprising: a programmable DMD similar elements. 而且,由于光线是透过液晶屏而不是经DMD元件反射后进入透镜,故可将系统各元件放置于一条光轴上,即可直接将傅里叶透镜放置于液晶屏背面。 Further, since the light is not transmitted through the LCD element by the reflective DMD into the lens, so that the elements may be placed on an optical axis of the system, Fourier lenses can be placed directly on the back of the liquid crystal panel. 这样透镜焦距的选择便不再受光线反射角度的限制,降低了光路的复杂度。 Such focal length is no longer limited by the choice of the angle of reflection of light, it reduces the complexity of the optical path. 同时,克服了DMD只能实现二进制观测矩阵的缺点。 At the same time, to overcome the shortcomings observed DMD can only achieve binary matrix. 并且液晶屏的价格较为低廉,降低了成像系统的成本。 And the relatively low price of the liquid crystal panel, reduces the cost of the imaging system.

(四)附图说明 (Iv) Brief Description of Drawings

[0012] 下面结合附图和具体实施方式对本发明做进一步说明。 [0012] The present invention will be further described in conjunction with the accompanying drawings and specific embodiments.

[0013] 图1是本发明的结构示意图。 [0013] FIG. 1 is a structural diagram of the present invention.

[0014] 图2是本发明实施例的模拟实验结果。 [0014] FIG. 2 is a simulation result of an embodiment of the present invention.

[0015] 附图标示 [0015] BRIEF Flag

[0016] 1、液晶屏2、傅里叶透镜3、光电二极管 [0016] 1, the liquid crystal panel 2, a Fourier lens 3, the photodiode

(五)具体实施方式 (E) Detailed Description

[0017] 在图1中,液晶屏(I)、傅里叶透镜(2)、光电二极管(3)放置于一条光轴上,傅里叶透镜(2)位于液晶屏(I)和光电二极管(3)之间,光电二极管(3)位于傅里叶透镜(2)的焦点处。 [0017] In FIG 1, the liquid crystal panel (I), the Fourier lens (2), the photodiode (3) is placed on an optical axis of the Fourier lens (2) located in the liquid crystal panel (I) and a photodiode (3), the photodiode (3) located in the Fourier lens (2) at the focus.

[0018] 步骤1:所测物体发出的光经光学成像部件成像在液晶屏上。 [0018] Step 1: The measured light emitted by the object imaged by the optical imaging means on the screen. 此时液晶屏上的像为原始信号ΧΝ>α。 At this time, as the original signal ΧΝ> α on the LCD screen.

[0019] 步骤2:液晶屏驱动电路控制液晶的扭转,使液晶屏上的像素排列处于伪随机状态i,其中I < i SM,它们的状态构成了观测矩阵Φ的第1行比(尺寸是N)。 [0019] Step 2: LCD driving circuit controls the liquid crystal twist, the pixel on the LCD screen are arranged in a pseudo-random state i, where I <i SM, their state constitute the first line of the observation matrix Φ ratio (size N). 此时将要透过液晶屏的信号是X在比下的值。 At this time, the value will be in the ratio of the signal transmitted through the liquid crystal panel is X.

[0020] 步骤3:透过液晶屏的光线射入傅里叶透镜。 [0020] Step 3: Fourier lens incident light through the liquid crystal panel. 光电二极管在透镜焦点处接收光强,通过对光强积分,得到结果Yi=Iii.XNX1。 Photodiode receives light intensity at the focal point of the lens, light intensity by integrating the results obtained Yi = Iii.XNX1.

[0021] 步骤4:重复上面的步骤M次,则M次液晶屏像素排列状态构成了观测矩阵ΦΜΧΝ,M次测量结果构成观测数据矩阵Υ=ΦΧ。 [0021] Step 4: Repeat the above steps M times, M times the LCD pixels arranged in matrix state forms the observation ΦΜΧΝ, M data measurements will constitute the observation matrix Υ = ΦΧ.

[0022] 压缩采样部分的数学模型如下: Mathematical Model of [0022] compressed sampling section:

[0023] 一维离散信号X可表不为 [0023] X may be a one-dimensional discrete signal table is not

[0024] [0024]

Figure CN103871387AD00051

[0025]其中 Ψ = [ Ψ1|Ψ2-1 ΨΝ],s 是加权系数Si =〈X,Ψi> = ΨiTx 的NX1列矢量。 [0025] where Ψ = [Ψ1 | Ψ2-1 ΨΝ], s is a weighting coefficient Si = <X, Ψi> = ΨiTx column vector of NX1. X和s是信号的等价表示。 And X is an equivalent representation of the signal s. 如果X仅仅是K个基矢量的线性组合(K〈N),则称信号X是K稀疏的。 Only if X is a linear combination of basis vectors K (K <N), called signal X is K sparse. 当K e N时,上述公式仅有少数的大系数和大量的小系数,此时信号X成为可压缩的。 When K e N, the above equation coefficients and only a few of the large number of small coefficient, when the signal X becomes compressible.

[0026] 考虑一个线性测量过程,计算M个X (M〈N)与矢量集吆}二的内积,即:yi = [0026] Consider a linear measurement, calculation of M X (M <N) of the vector inner product of two sets shout}, i.e.: yi =

〈X,Φj>ο若测量值71构成的MX I矢量为y,由#作为向量构成的MXN矩阵为Φ,则有 <X, Φj> ο If the measurement value 71 MX I vector is composed of y, as a # MXN matrix-vector is composed of Φ, there

[0027] y=Φχ=ΦΨ = 0s (2) [0027] y = Φχ = ΦΨ = 0s (2)

[0028] 其中Θ = ΦΨ是MXN矩阵。 [0028] wherein the MXN matrix is ​​Θ = ΦΨ. 矩阵Θ要满足约束等距特性(restricted isometryproperty(RIP)) To satisfy the constraint matrix Θ equidistant characteristics (restricted isometryproperty (RIP))

[0029] (1- ε )|| V | |2 ≤ ||Θ V ||2≤(1+ ε ) | | v| |2 (3) [0029] (1- ε) || V | | 2 ≤ || Θ V || 2≤ (1+ ε) | | v | | 2 (3)

[0030] 即矩阵Θ必须保持特定K稀疏矢量的长度。 [0030] i.e. matrix Θ must maintain certain length K sparse vectors. 由于Ψ是固定的,要使得Θ = ΦΨ满足约束等距特性,可以通过设计观测矩阵Φ解决。 Since Ψ is fixed, such that Θ = ΦΨ to satisfy the constraint equidistant characteristic, can be solved by designing the observation matrix Φ. Cand6s等人证明了当Φ是高斯随机矩阵时,矩阵©能以较大概率满足约束等距特性。 Cand6s, who proved that if Φ is a Gaussian random matrix, the matrix can satisfy the constraints © equidistant characteristics with greater probability. 因此可以通过选择一个大小为MXN的高斯观测矩阵得到。 It can be obtained as a Gaussian MXN by selecting a size of the observation matrix.

[0031] 图2是本发明实施例的模拟实验结果。 [0031] FIG. 2 is a simulation result of an embodiment of the present invention. 图2 (a)是原始图片,大小为100X 100,是灰度图像。 FIG 2 (a) is the original image, the size of 100X 100, is a grayscale image. 这张图片的各个频段的能量都很丰富,适度的混合了细节、平滑区域、阴影和纹理,从而能很好的测试各种图像处理算法,是图像压缩算法研究中最广泛应用的标准测试图。 Each band energy of this picture is very rich, modest mix of details, smooth areas, shadows and textures, which can be a good test various image processing algorithms, is a standard test chart image compression algorithm research is the most widely used . 图2 (a)相当于步骤I中成像于液晶屏上的原始信号X1(l_xl。观测矩阵Φ选取大小为MX 10000的二进制随机矩阵。这样Υ=ΦΧ便构成了步骤4中经过M次采样后得到的观测数据矩阵。在本实施例的模拟实验中,选取最小全变分法求解方程Υ=ΦΧ。经过该算法求解出的结果X'构成重建图像。图2 (b)为采样次数M取4000时重建出的图像。 FIG 2 (a) corresponds to the original image forming step I signal X1 (l_xl on the LCD screen. Selecting sizes observation matrix Φ random binary matrix MX 10000 Thus Υ = ΦΧ they constitute step 4 after the M samples the resulting observation data matrix. in the simulation of the present embodiment, select the minimum total variation solving equation Υ = ΦΧ. after the algorithm the result X 'constituting the reconstructed image. FIG. 2 (b) is the number of samples M taken the reconstructed images 4000.

[0032] 最小全变分法是Cand6s等从大量自然图像的离散梯度都是稀疏的角度出发,提出来的更适合二维图像重构的图像重建算法。 [0032] The minimum total variation method is Cand6s and other natural gradient from a large number of discrete images are sparse point of view, put forward by the two-dimensional image reconstruction algorithm is more suitable for image reconstruction. 图像压缩的全变分模型如下 Image compression model as Total Variation

[0033] minTV(f) sty = Φf (4) [0033] minTV (f) sty = Φf (4)

[0034]目标函数TV(f)为图像离散梯度之和,即 [0034] The objective function TV (f) and discrete image gradients, i.e.,

Figure CN103871387AD00052

Claims (4)

  1. 1.一种用液晶屏进行光调制的压缩采样方法,其特征在于:所测物体发出的光经光学成像部件成像在液晶屏上。 A method for performing compression sampling light modulation liquid crystal panel, wherein: the imaging optical components of the imaging light is emitted from the measured object on the LCD screen. 液晶屏的每个像素相当于一个光开关,液晶屏驱动电路控制液晶的扭转,以改变其透光率,使光线有选择地透过液晶屏。 Each LCD pixel corresponds to a light switch, a control circuit driving the liquid crystal panel of the liquid crystal twist to change light transmittance, so that the light is selectively transmitted through the liquid crystal panel. 通过液晶屏的透光率变化,物理上实现一个可编程的观测矩阵。 By variation of the light transmittance of the liquid crystal panel, to implement a programmable physical observation matrix. 透过液晶屏的光线射入傅里叶透镜。 A Fourier lens incident light through the liquid crystal panel. 光电二极管在透镜焦点处接收光强,通过对光强积分,得到的结果相当于压缩传感理论中的观测值。 Photodiode receives light intensity at the focal point of the lens, light intensity by integrating the resulting values ​​corresponding to the observed compression sensing theory. 其包括下列步骤: 步骤1:所测物体发出的光经光学成像部件成像在液晶屏上。 Which comprises the following steps: Step 1: the measured light emitted by the object imaged by the optical imaging means on the screen. 此时液晶屏上的像为原始信号Xnx1O 步骤2:液晶屏驱动电路控制液晶的扭转,使液晶屏上的像素排列处于伪随机状态i,其中I ( i SM,它们的状态构成了观测矩阵Φ的第1行匕(尺寸是N)。此时将要透过液晶屏的信号是X在比下的值。 步骤3:透过液晶屏的光线射入傅里叶透镜。光电二极管在透镜焦点处接收光强,通过对光强积分,得到结果Yi=Iii.Xnxi。 步骤4:重复上面的步骤M次,则M次液晶屏像素排列状态构成了观测矩阵ΦΜΧΝ,M次测量结果构成观测数据矩阵Υ=ΦΧ。 At this time, as the original signal Xnx1O on the LCD screen in step 2: LCD driving circuit controls the liquid crystal twist, the pixel arrangement on the LCD screen in a pseudo-random state i, where I (i SM, which constitute the state of the observation matrix Φ dagger first row (size N) at this time, the signal to be transmitted through the liquid crystal panel is lower than the value X step 3:... the Fourier lens incident light through the liquid crystal panel photodiode at the focal point of the lens received light intensity, light intensity by integrating the results obtained Yi = Iii.Xnxi step 4: repeat the above steps M times, M times the LCD pixels arranged in matrix state forms the observation ΦΜΧΝ, M constituting the observation results of measurement data matrix Υ = ΦΧ.
  2. 2.如权利要求书I所述的用液晶屏进行光调制的压缩采样方法,其特征在于:采用无背光单色可调灰度的液晶屏对原始图像信号进行光调制,即将液晶屏作为观测矩阵的物理实现方式。 Book I as claimed in compression sampling methods for light modulation liquid crystal panel claims, characterized in that: a liquid crystal panel without a backlight tunable monochromatic gradation of the original image signal, light modulation, i.e. the liquid crystal panel as an observation the physical implementation of the matrix.
  3. 3.如权利要求书I所述的用液晶屏进行光调制的压缩采样方法,其特征在于:光电二极管在傅里叶透镜焦点处接收光强,并对经过液晶屏调制后的光信号进行积分。 Book I as claimed in compression sampling methods for light modulation liquid crystal panel claims, characterized in that: a photodiode receiving the light intensity at the Fourier lens focal point, and the light passing through the liquid crystal panel modulating signal integrating .
  4. 4.如权利要求书I所述的用液晶屏进行光调制的压缩采样方法,其特征在于:Μ次液晶屏像素排列状态构成了观测矩阵Φ,M次测量结果构成观测数据矩阵Υ=ΦΧ。 Book I as claimed compressing sampling methods for light modulation liquid crystal panel according to claim, wherein: Μ sub-pixel alignment state of the liquid crystal panel constituting the observation matrix Φ, M data measurements will constitute the observation matrix Υ = ΦΧ.
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CN102608619A (en) * 2012-03-07 2012-07-25 北京航空航天大学 Three-dimensional laser imaging method based on photon counting compressive sampling phased array
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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4481510A (en) * 1980-12-23 1984-11-06 Thomson-Csf Electrooptical switching device
US20040239831A1 (en) * 2003-06-02 2004-12-02 Palumbo Perry A. Display backlight device
CN101893552A (en) * 2010-07-06 2010-11-24 西安电子科技大学 Hyperspectral imager and imaging method based on compressive sensing
CN102608619A (en) * 2012-03-07 2012-07-25 北京航空航天大学 Three-dimensional laser imaging method based on photon counting compressive sampling phased array
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