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Linear operators with vector masks in digital image processing problems 带矢量掩模的线性算子在数字图像处理中的应用
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1241
A.I. Novikov, A.V. Pronkin
The paper shows that it is expedient to use vector masks for solving some types of digital image processing problems. The main advantage of vector masks compared to matrix masks is that they reduce the computational complexity of algorithms while maintaining, and in some problems even improving, quality indicators. The article demonstrates examples of the use of vector masks in the problem of estimating the level of discrete white noise in an image, forming a basis for constructing a correctly working sigma filter, which are used for obtaining smoothed partial derivative estimates in the problem of edge detection and detecting straight lines in a contour image. The work uses results obtained by the authors in their earlier publications.
本文表明,利用矢量掩模来解决某些类型的数字图像处理问题是方便的。与矩阵掩模相比,矢量掩模的主要优点是它们降低了算法的计算复杂度,同时保持,甚至在某些问题中提高了质量指标。本文演示了在估计图像中离散白噪声水平问题中使用矢量掩模的例子,为构造正确工作的sigma滤波器奠定了基础,该滤波器用于在边缘检测问题中获得光滑的偏导数估计和检测轮廓图像中的直线。这项工作使用了作者在其早期出版物中获得的结果。
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引用次数: 0
High-speed recursive-separable image processing filters with variable scanning aperture sizes 可变扫描孔径的高速递归可分离图像处理滤波器
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1240
A.V. Kamenskiy, M.I. Kuryachiy, A.S. Krasnoperova, Yu.V. Ilyin, T.M. Akaeva, S.E. Boyarkin
In the process of development of computer technologies, the number of areas of their application naturally grows and, along with it, the complexity of the tasks to be solved, which entails the need for new research. Similar tasks include digital filtering of images in the field of medical technologies and active-pulse television measuring systems. There are many methods and algorithms of digital filtering designed to solve the problem of improving the quality; algorithms that can improve the quality of images while reducing computational costs are widely used. High demands, which are made due to the constant growth in the size of the generated images, as well as the requirement for modern television systems, is real-time operation. When solving practical problems, it is required to use different filter aperture sizes, which provide an increase in quality and preservation of image details. The solution of these problems was the reason for the emergence of adaptive filters that are able to change the parameters in the process of processing the received data, while not spending additional time on processing with an increase in the size of the aperture. The paper presents the principles of constructing adaptive image processing filters, which, by obtaining an input parameter indicating the required dimension of a multi-element aperture, are able to implement the construction of the required aperture. The Laplacian “Truncated Pyramid” filter and the “double pyramid” Laplacian were modified. A feature of these filters is the oddness of the multi-element aperture, so the coefficient used to build the mask is always set to odd. When using these filters, it is possible to use two coefficients that are responsible for increasing the filtration efficiency, since, in their original form, the Laplacian filters have a sum of coefficients equal to zero. The experiment shows a comparison with high-dimensional filters that work when using classical two-dimensional convolution. The next stage of the presented research will be the application of parallel computing techniques, which will increase the speed of the developed filters.
在计算机技术的发展过程中,其应用领域的数量自然会增加,随之而来的是要解决的任务的复杂性,这就需要进行新的研究。类似的任务包括医疗技术领域的图像数字滤波和有源脉冲电视测量系统。为了解决提高图像质量的问题,设计了许多数字滤波的方法和算法;能够提高图像质量同时降低计算成本的算法得到了广泛的应用。由于生成图像的大小不断增长,以及对现代电视系统的要求,对实时操作提出了很高的要求。在解决实际问题时,需要使用不同的滤光片孔径大小,以提高图像质量并保留图像细节。这些问题的解决是自适应滤波器出现的原因,它能够在处理接收数据的过程中改变参数,而不会随着孔径大小的增加而花费额外的时间进行处理。本文介绍了自适应图像处理滤波器的构造原理,该滤波器通过获取表示多元孔径所需尺寸的输入参数,实现所需孔径的构造。对拉普拉斯“截断金字塔”滤波器和“双金字塔”拉普拉斯滤波器进行了改进。这些滤波器的一个特点是多元素孔径的奇异性,因此用于构建掩模的系数总是被设置为奇数。当使用这些过滤器时,可以使用两个负责提高过滤效率的系数,因为在其原始形式中,拉普拉斯过滤器的系数和等于零。实验结果与经典二维卷积的高维滤波器进行了比较。下一阶段的研究将是并行计算技术的应用,这将提高所开发滤波器的速度。
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引用次数: 0
On chip optical neural networks based on MMI microring resonators for image classification 基于MMI微环谐振器的片上光学神经网络图像分类
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1211
T.T. Bui, D.T. Le, T.H.L. Nguyen, T.T. Le
We propose a new on-chip optical neural network (OONN) based on multimode interference-microring resonators (MMI-RRs). The suggested structure eliminates the need for wavelength division multiplexers (WDM) to create an optical neuron on a single chip. New microring resonator structure based on 4×4 MMI coupler with a size of 24µm × 2900 µm is used for the basic elements of the computation matrix, as a result a higher bandwidth and free spectral range (FSR) can be achieved. The Si3N4 platform along with the graphene sheet is designed to modulate the signals and weights of the neural networks at a very high speed. The Si3N4 can provide wide range of operating wavelengths and can work directly with the wavelengths of color images. The structure's benefits include rapid computing speed, little loss, and the ability to handle both positive and negative values. The OONN has been applied to the MNIST dataset with a speed faster than 2.8 to 14x times compared with the conventional GPU methods.
提出了一种基于多模干涉微环谐振器的片上光神经网络(OONN)。所建议的结构消除了波分复用器(WDM)在单个芯片上创建光学神经元的需要。基于4×4 MMI耦合器的新型微环谐振器结构,其尺寸为24µm × 2900µm,用于计算矩阵的基本元素,从而获得更高的带宽和自由频谱范围(FSR)。Si3N4平台和石墨烯片旨在以非常高的速度调制神经网络的信号和权重。Si3N4可以提供广泛的工作波长范围,并且可以直接与彩色图像的波长一起工作。该结构的优点包括计算速度快,损失小,能够处理正值和负值。OONN应用于MNIST数据集的速度比传统GPU方法快2.8 ~ 14倍。
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引用次数: 0
Focusing a vortex beam with circular polarization: angular momentum 用圆偏振聚焦涡旋光束:角动量
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1289
V.V. Kotlyar, A.A. Kovalev, A.M. Telegin
Based on the Richards-Wolf formalism, we obtain two different exact expressions for the angular momentum (AM) density in the focus of a vortex beam with the topological charge n and with right circular polarization. One expression for the AM density is derived as the cross product of the position vector and the Poynting vector and has a nonzero value at the focus for an arbitrary integer number n. The other expression for the AM density is deduced as a sum of the orbital angular momentum (OAM) and the spin angular momentum (SAM). We reveal that at the focus of the light field under analysis, the latter turns zero at n = –1. While both these expressions are not equal to each other at each point of space, 3D integrals thereof are equal. Thus, exact expressions are obtained for densities of AM, SAM and OAM at the focus of a vortex beam with right-hand circular polarization and the identity for the densities AM = SAM + OAM is shown to be violated. Besides, it is shown that the expressions for the strength vectors of the electric and magnetic fields near the sharp focus, obtained by adopting the Richards-Wolf formalism, are exact solutions of the Maxwell's equations. Thus, Richards–Wolf theory exactly describes the behavior of light near the sharp focus in free space.
基于Richards-Wolf形式,我们得到了拓扑电荷为n且具有右圆极化的涡旋光束聚焦处角动量密度的两种精确表达式。其中,调幅密度的表达式为位置矢量与坡印廷矢量的叉积,且对于任意整数n,该表达式在焦点处具有非零值。另一种表达式为轨道角动量(OAM)与自旋角动量(SAM)之和。我们发现,在分析光场的焦点处,后者在n = -1时变为零。虽然这两个表达式在空间的每个点上并不相等,但它们的三维积分是相等的。由此,得到了右圆偏振涡旋光束焦点处AM、SAM和OAM密度的精确表达式,证明了AM = SAM + OAM密度的恒等式不成立。此外,还证明了采用Richards-Wolf形式得到的尖锐焦点附近电场和磁场的强度矢量表达式是麦克斯韦方程组的精确解。因此,理查兹-沃尔夫理论准确地描述了光在自由空间中靠近尖锐焦点的行为。
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引用次数: 1
Sensor with enhanced performance based on photonic crystal with a defect layer 基于缺陷层光子晶体的高性能传感器
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1245
I.M. Efimov, N.A. Vanyushkin, A.H. Gevorgyan, S.S. Golik
We propose an improved structure of an optical biosensor based on a photonic crystal with a defect layer, which can detect the concentration of organic contaminants in water by defect mode shift. We investigated 4 types of defective photonic crystals with different arrangements of layers inside the perfect photonic crystals and their impact on the performance of the sensor. The sensitivity and amplitude of defect mode were examined as a function of defect layer thickness. Also, the peculiarities of edge modes in the presence of defect layer were investigated. Finally, we obtained a characteristic equation to determine the wavelengths of defect modes for an arbitrary 1D photonic crystal with an isotropic defect inside.
我们提出了一种基于缺陷层光子晶体的光学生物传感器的改进结构,它可以通过缺陷模移位检测水中有机污染物的浓度。我们研究了完美光子晶体内部不同层位排列的4种缺陷光子晶体及其对传感器性能的影响。研究了缺陷模的灵敏度和幅值与缺陷层厚度的关系。同时,研究了缺陷层存在时边缘模的特性。最后,我们得到了一个特征方程,用于确定内部具有各向同性缺陷的任意一维光子晶体的缺陷模波长。
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引用次数: 0
Super-resolution microscopy based on interpolation and wide spectrum de-noising 基于插值和广谱去噪的超分辨率显微技术
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1272
T. Cheng, T. Chenchen
In the conventional single-molecule localizations and super-resolution microscopy, the pixel size of a raw image is approximately equal to the standard deviation of the point spread function. Such a raw image is referred to herein as a conventional raw image, based on which better single molecule localization effect and efficiency can be achieved. It is found that both interpolation and de-noising can effectively improve the Signal to Noise Ratio of the conventional raw image. The conventional raw image, the de-noised, the interpolated and the de-noised interpolated are compared and analyzed and compressed sensing is used for super-resolution reconstruction. The simulation results show that both the highest Signal to Noise Ratio and the best super-resolution reconstruction can be obtained by de-noising the interpolated conventional raw image. This method also renders the best super-resolution reconstruction and minimum gradient in the real experiment. De-noising the interpolated conventional raw image is an effective method to improve the super-resolution microscopy.
在传统的单分子定位和超分辨率显微镜中,原始图像的像素大小大约等于点扩展函数的标准差。本文将这种原始图像称为常规原始图像,在此基础上可以获得更好的单分子定位效果和效率。结果表明,插值和去噪都能有效地提高传统原始图像的信噪比。对传统的原始图像、去噪后的图像、插值后的图像和去噪后的插值后的图像进行了比较分析,并利用压缩感知进行了超分辨率重建。仿真结果表明,对插值后的常规原始图像进行去噪处理可以获得最高的信噪比和最佳的超分辨率重建。该方法在实际实验中获得了最佳的超分辨率重建和最小的梯度。对插值后的常规原始图像进行去噪是提高显微超分辨率的有效方法。
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引用次数: 0
Spin angular momentum and angular harmonics spectrum of two-order polarization vortices at the tight focus 紧焦点处二阶极化涡的自旋角动量和角谐波谱
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1282
A.A. Kovalev, V.V. Kotlyar
We investigate the spin angular momentum (SAM) of two-order cylindrical vector beams at the tight focus. Such beams are a generalization of the conventional cylindrical vector beams since the transverse field components on the Cartesian axes have different polarization orders. Using the Richards-Wolf approximation, we derive an expression for the longitudinal component of the SAM density distribution. We show that if the polarization indices are of different parity then, an optical spin Hall effect arises at the tight focus, meaning that alternating areas with positive and negative SAM are originated although the initial light field is linearly polarized. We study the angular harmonics spectrum of all the components of the focused light field and determine the predominant angular harmonics. Then, neglecting the insignificant harmonics, we define the shape of the longitudinal component of the SAM density distribution and demonstrate the possibility of generating a focal SAM distribution where the areas with positive and negative SAM reside on a circle as alternating pairs or separated into different half-circles.
研究了紧焦点下二阶圆柱矢量光束的自旋角动量。由于笛卡尔轴上的横向场分量具有不同的极化阶,因此这种光束是传统圆柱矢量光束的推广。利用Richards-Wolf近似,我们导出了SAM密度分布纵向分量的表达式。我们发现,当偏振指数具有不同宇称时,紧聚焦处会产生光自旋霍尔效应,这意味着尽管初始光场是线偏振的,但产生了正负SAM的交替区域。研究了聚焦光场各分量的角谐波谱,确定了主要角谐波。然后,忽略无关紧要的谐波,我们定义了SAM密度分布的纵向分量的形状,并证明了产生焦点SAM分布的可能性,其中正SAM和负SAM区域交替成对地位于一个圆上或分成不同的半圆。
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引用次数: 0
Towards monitored tomographic reconstruction: algorithm-dependence and convergence 面向监测层析重建:算法依赖与收敛
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1238
K.B. Bulatov, A.S. Ingacheva, M.I. Gilmanov, K. Kutukova, Z.V. Soldatova, A.V. Buzmakov, M.V. Chukalina, E. Zschech, V.V. Arlazarov
The monitored tomographic reconstruction (MTR) with optimized photon flux technique is a pioneering method for X-ray computed tomography (XCT) that reduces the time for data acquisition and the radiation dose. The capturing of the projections in the MTR technique is guided by a scanning protocol built on similar experiments to reach the predetermined quality of the reconstruction. This method allows achieving a similar average reconstruction quality as in ordinary tomography while using lower mean numbers of projections. In this paper, we, for the first time, systematically study the MTR technique under several conditions: reconstruction algorithm (FBP, SIRT, SIRT-TV, and others), type of tomography setup (micro-XCT and nano-XCT), and objects with different morphology. It was shown that a mean dose reduction for reconstruction with a given quality only slightlyvaries with choice of reconstruction algorithm, and reach up to 12.5 % in case of micro-XCT and 8.5 % for nano-XCT. The obtained results allow to conclude that the monitored tomographic reconstruction approach can be universally combined with an algorithm of choice to perform a controlled trade-off between radiation dose and image quality. Validation of the protocol on independent common ground truth demonstrated a good convergence of all reconstruction algorithms within the MTR protocol.
基于优化光子通量技术的监测层析重建(MTR)是x射线计算机断层扫描(XCT)的一种开创性方法,它减少了数据采集时间和辐射剂量。在MTR技术中,投影的捕获由建立在类似实验基础上的扫描协议指导,以达到预定的重建质量。该方法可以实现与普通断层扫描相似的平均重建质量,同时使用较低的平均投影数。本文首次系统地研究了重建算法(FBP、SIRT、SIRT- tv等)、层析成像设置类型(micro-XCT和nano-XCT)以及不同形态目标下的MTR技术。结果表明,对于给定质量的重建,不同重建算法的平均剂量减少量变化不大,micro-XCT可达12.5%,nano-XCT可达8.5%。所获得的结果允许得出结论,监测层析重建方法可以普遍与选择的算法相结合,以在辐射剂量和图像质量之间进行可控的权衡。该协议在独立共同点真值上的验证证明了MTR协议中所有重建算法的良好收敛性。
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引用次数: 0
Analytical approach to the problem of electromagnetic wave scattering by a cylindrical hole in a thin metal screen 薄金属屏上圆柱孔对电磁波散射问题的分析方法
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1218
N.V. Selina
A method of analytical study of a metal film perforated by cylindrical nanoholes as the basis of a metasurface has been proposed. The formulas deduced completely determine the electromagnetic field of a wave scattered by the hole at any distance from the surface. The calculation of the transmission and absorption spectra of the studied structure, as well as the dependence of the phase of the scattered wave on the radius of the hole, is carried out using analytical formulas. The calculation results are consistent with the literature data for calculating the efficiency of a quantum photodetector and the phase change interval of light scattered by meta-atoms required for lens design.
提出了一种以圆柱形纳米孔穿孔金属薄膜作为超表面基础的分析研究方法。推导出的公式完全确定了由孔散射的波在离表面任意距离处的电磁场。利用解析公式计算了所研究结构的透射和吸收光谱,以及散射波的相位与孔半径的关系。计算结果与计算量子光电探测器的效率和透镜设计所需的元原子散射光的相变间隔的文献数据一致。
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引用次数: 0
A joint study of deep learning-based methods for identity document image binarization and its influence on attribute recognition 基于深度学习的身份证件图像二值化方法及其对属性识别的影响研究
Q4 OPTICS Pub Date : 2023-08-01 DOI: 10.18287/2412-6179-co-1207
R. Sánchez-Rivero, P.V. Bezmaternykh, A.V. Gayer, A. Morales-González, F. José Silva-Mata, K.B. Bulatov
Text recognition has benefited considerably from deep learning research, as well as the preprocessing methods included in its workflow. Identity documents are critical in the field of document analysis and should be thoroughly researched in relation to this workflow. We propose to examine the link between deep learning-based binarization and recognition algorithms for this sort of documents on the MIDV-500 and MIDV-2020 datasets. We provide a series of experiments to illustrate the relation between the quality of the collected images with respect to the binarization results, as well as the influence of its output on final recognition performance. We show that deep learning-based binarization solutions are affected by the capture quality, which implies that they still need significant improvements. We also show that proper binarization results can improve the performance for many recognition methods. Our retrained U-Net-bin outperformed all other binarization methods, and the best result in recognition was obtained by Paddle Paddle OCR v2.
文本识别在很大程度上得益于深度学习研究,以及其工作流程中包含的预处理方法。身份文件在文件分析领域是至关重要的,应该在此工作流程中进行彻底的研究。我们建议在MIDV-500和MIDV-2020数据集上研究基于深度学习的二值化和识别算法之间的联系。我们提供了一系列实验来说明所收集图像的质量与二值化结果之间的关系,以及其输出对最终识别性能的影响。我们表明,基于深度学习的二值化解决方案受到捕获质量的影响,这意味着它们仍然需要显着改进。我们还证明了适当的二值化结果可以提高许多识别方法的性能。我们重新训练的U-Net-bin优于所有其他二值化方法,其中Paddle Paddle OCR v2的识别效果最好。
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引用次数: 0
期刊
Computer Optics
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