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A highly error-tolerant phase unwrapping method based on Gray-coded light for misalignment error scenarios 一种基于灰度编码光的高度容错相位展开方法
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-02-01 DOI: 10.1016/j.optlaseng.2026.109671
Yexi Yang , Hubing Du , Yanjie Li , Tete Xu , Hui Wang , Gaopeng Zhang
To address the issue of phase jump errors caused by the misalignment between wrapped phase truncation positions and fringe order transition positions in Gray-code-assisted phase unwrapping technique, a large number of methods for avoiding such jump errors have been developed in recent years. This paper proposes a highly error-tolerant phase unwrapping method based on Gray-coded light for misalignment error scenarios. This method first calculates original fringe orders using traditional Gray-coded method, then performs a modulo operation on these orders, and leverages the characteristic that adjacent-value orders should be equal to derive two complementary sets of fringe orders. Subsequently, using obtained original fringe orders and the critical points where the wrapped phase transitions between positive and negative values, the wrapped phase is partitioned into a series of confidence regions. Finally, phase unwrapping is conducted for each confidence sub-region, yielding a continuous absolute phase free of jump errors. Through experiments on facial height reconstruction, phase retrieval under harsh scenario, phase retrieval covering different misalignment error scenarios, and phase retrieval of complex objects, it is verified that the proposed method can extend the maximum allowable misalignment error from the existing one-third of a wrapped phase cycle to half of a wrapped phase cycle, without increasing additional Gray-coded patterns. The proposed method enhances the tolerance of the phase unwrapping method to the misalignment error, improves phase retrieval accuracy, and does not increase computational time while ensuring high precision and robustness. Therefore, it is well-suited for high-precision optical online detection scenarios.
为了解决灰度编码辅助相位展开技术中由于包裹相位截断位置与条纹阶跃位置不一致而导致的相位跳跃误差问题,近年来人们开发了大量避免这种跳跃误差的方法。提出了一种基于灰度编码光的高容错性相位展开方法。该方法首先利用传统的灰度编码方法计算原始条纹阶数,然后对这些阶数进行模运算,利用相邻值阶数相等的特点,推导出两个互补的条纹阶数集。然后,利用得到的原始条纹阶数和包裹相位在正负之间转变的临界点,将包裹相位划分为一系列置信区域。最后,对每个置信子区域进行相位展开,得到无跳跃误差的连续绝对相位。通过人脸高度重建、苛刻场景下的相位恢复、覆盖不同相位误差场景的相位恢复以及复杂目标的相位恢复实验,验证了该方法可以在不增加额外的gray编码模式的情况下,将最大允许偏差从现有的包裹相位周期的三分之一扩展到包裹相位周期的一半。该方法增强了相位展开法对不对准误差的容错性,提高了相位恢复精度,在保证高精度和鲁棒性的同时不增加计算时间。因此,它非常适合高精度的光学在线检测场景。
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引用次数: 0
Improving 3D measurement accuracy of fringe projection profilometry for complex textured objects by reducing projector-camera pixel matching errors 通过减小投影-相机像素匹配误差,提高复杂纹理物体条纹投影轮廓术三维测量精度
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-31 DOI: 10.1016/j.optlaseng.2026.109661
Chenbo Zhang , Guangjian Wang , Zongxing Gong , Hengyi Lei , Peng Gong
Fringe projection profilometry (FPP) is a widely employed non-contact 3D measurement technique. In a triangulation-based single-projector-camera configuration FPP system, phase establishes the pixel correspondence between the camera and projector to achieve 3D reconstruction. However, when measuring objects with complex textures, significant height jumps occur near reflectance discontinuity boundaries, substantially affecting measurement accuracy. Analysis indicates that camera defocusing and reflectance discontinuity jointly generate phase artifact error, leading to pixel matching error and ultimately causing height jump. From the perspective of reducing matching error, this paper proposes a height jump error compensation method based on epipolar constraint. First, a one-dimensional model of phase artifact error is established, and an analytical expression is derived, revealing the correlation of phase artifact error in orthogonal phase-shifting fringes with identical frequency. Based on this, the relationship between horizontal and vertical coordinate offset error in the projector coordinate system is derived, and iterative compensation is applied to the horizontal coordinate of the projector pixel in conjunction with epipolar constraint, effectively reducing matching error and improving the 3D measurement accuracy of complex textured objects. Quantitative and qualitative experiments demonstrate the effectiveness of the proposed method, with quantitative experiments showing that the proposed method reduces texture-induced height jump error by 67.33%.
条纹投影轮廓术(FPP)是一种应用广泛的非接触式三维测量技术。在基于三角测量的单投影机-摄像机配置FPP系统中,相位建立摄像机和投影机之间的像素对应关系,实现三维重建。然而,当测量具有复杂纹理的物体时,在反射不连续边界附近会出现明显的高度跳跃,严重影响测量精度。分析表明,相机离焦和反射不连续共同产生相位伪影误差,导致像素匹配误差,最终导致高度跳跃。从减小匹配误差的角度出发,提出了一种基于极面约束的跳高误差补偿方法。首先,建立了相位伪影误差的一维模型,推导了相位伪影误差的解析表达式,揭示了同频正交移相条纹中相位伪影误差的相关性;在此基础上,推导了投影机坐标系中水平坐标与垂直坐标偏移误差的关系,并结合极极约束对投影机像素的水平坐标进行迭代补偿,有效降低了匹配误差,提高了复杂纹理物体的三维测量精度。定量和定性实验验证了该方法的有效性,定量实验表明,该方法将纹理引起的高度跳跃误差降低了67.33%。
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引用次数: 0
Noise imaging based on 90–140 GHz photonic noise source 基于90-140 GHz光子噪声源的噪声成像
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-31 DOI: 10.1016/j.optlaseng.2026.109668
Jiayu Chen , Yuehui Sun , Shede Chen , Pu Li , Liyun Zhong , Jianglei Di , Yuncai Wang
This paper introduces and experimentally validates a single-pixel imaging (SPI) system illuminated by a 90–140 GHz photonic noise source. The noise source, with a 36 dB excess noise ratio (ENR), proves to be an effective spatially-incoherent illuminator for SPI. High-fidelity reconstructions are achieved at sub-Nyquist sampling rates: the letters ”T” and ”H” attain structural similarity index (SSIM) values above 0.7 at 40–50% sampling, while the more complex letter ”Z” requires a 70% sampling rate to reach an SSIM of 0.6. A key finding is that noise illumination significantly outperforms conventional 100 GHz single-frequency coherent illumination, achieving over 30% improvement in SSIM at equivalent sampling rates. This enhancement is attributed to the effective suppression of coherent interference speckles by the noise source’s inherent randomness. Furthermore, we demonstrate the practical potential of this technique for security screening by successfully imaging a concealed metal blade.
本文介绍了一种由90-140 GHz光子噪声源照射的单像素成像(SPI)系统,并进行了实验验证。该噪声源的超噪比(ENR)为36 dB,是一种有效的SPI空间非相干光源。在亚奈奎斯特采样率下实现了高保真重建:字母“T”和“H”在40-50%的采样率下获得了0.7以上的结构相似指数(SSIM),而更复杂的字母“Z”需要70%的采样率才能达到0.6的SSIM。一个重要的发现是,噪声照明明显优于传统的100 GHz单频相干照明,在同等采样率下,SSIM提高了30%以上。这种增强是由于噪声源固有的随机性有效地抑制了相干干涉散斑。此外,我们通过成功成像隐藏的金属叶片,展示了该技术在安全筛查方面的实际潜力。
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引用次数: 0
An optimized GPU-accelerated digital image correlation algorithm 一种优化的gpu加速数字图像相关算法
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-31 DOI: 10.1016/j.optlaseng.2026.109635
Yuanhang Dou , Xuexi Cui , Xiangdong Wu , Min Wan
Digital Image Correlation (DIC) algorithm is widely used to measure the deformation of materials under load. Due to the inherent complexity of the DIC algorithm, high-sampling-rate measurement of displacement or deformation fields remains a significant challenge. We leverage the CUDA parallel computing environment of NVIDIA GPUs combined with an innovative DIC algorithm to improve processing speed. We divide all subsets in the measurement region into multiple levels, and analyze the motion characteristics of subsets in the image sequence. The deformation parameter initial values of other subsets are estimated using the results of already computed subsets, which greatly reduces the computational load for initial guesses. Additionally, this method enables the entire process of continuous computation to be executed on the GPU, avoiding frequent data exchange and CPU involvement. During the Inverse Compositional Gauss-Newton (IC-GN) iterative calculation, the L1 cache and thread resources of the GPU chip are fully utilized to enhance computing speed. The accuracy of the method was validated on the recognized DIC Challenge dataset. This proves that our method meets the measurement requirements. Achieved a maximum 2D full-field DIC measurement speed of over 6 × 106 points per second, or a stereo measurement rate exceeding 200 fps. The reliability of the algorithm in relevant experiments was verified using real uniaxial tensile, biaxial tensile, and vibration test images.
数字图像相关(DIC)算法被广泛用于测量材料在载荷作用下的变形。由于DIC算法固有的复杂性,高采样率的位移或变形场测量仍然是一个重大挑战。我们利用NVIDIA gpu的CUDA并行计算环境,结合创新的DIC算法来提高处理速度。我们将测量区域的所有子集划分为多个级别,并分析子集在图像序列中的运动特征。其他子集的变形参数初始值是利用已经计算的子集的结果来估计的,这大大减少了初始猜测的计算量。此外,这种方法使连续计算的整个过程都在GPU上执行,避免了频繁的数据交换和CPU的介入。在逆成分高斯-牛顿(IC-GN)迭代计算中,充分利用GPU芯片的L1缓存和线程资源,提高计算速度。在已识别的DIC Challenge数据集上验证了该方法的准确性。这证明我们的方法满足测量要求。最大2D全场DIC测量速度超过6 × 106点/秒,立体测量速率超过200 fps。通过真实的单轴拉伸、双轴拉伸和振动测试图像,验证了算法在相关实验中的可靠性。
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引用次数: 0
CEDF-VSNLO: A novel computational-efficient denoising framework via variance stabilization and noise-adaptive low-rank optimization for fringe patterns CEDF-VSNLO:一种基于方差稳定和噪声自适应低秩优化的计算效率高的条纹图去噪框架
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-31 DOI: 10.1016/j.optlaseng.2026.109667
Yuheng Li , Cixing Lv , Junwei Liang , Yi Qin , Jiale Li , Yunyao Zeng
Phase Shifting Profilometry (PSP) stands as a dominant technique within optical metrology for high-precision 3D measurement, yet its accuracy is fundamentally limited by the mixed Gaussian-Poisson (GP) noise, which necessitates highly effective denoising. However, existing methods suffer from limitations in computational efficiency and the effective use of physical priors. To overcome these limitations, this paper proposes a novel Computational-Efficient Denoising Framework via Variance Stabilization and Noise-adaptive Low-Rank Optimization, called CEDF-VSNLO. The proposed framework introduces a computational strategy that transforms the denoising task from processing N phase-shifted fringe patterns to processing only two variance-stabilized sine/cosine component images. Since the number of processed images is fixed at two regardless of the phase shift steps N, this approach decouples the computational cost from the shift steps, thereby achieving a fundamental reduction in complexity from linear O(N) to constant O(1) relative to N. Additionally, the framework is further enhanced by an improved method for estimating the inherent Amplitude-Modulation and Frequency-Modulation (AM-FM) physical prior. Guided by the resulting AM-FM map, a two-stage clustering strategy is then employed to group image blocks based on their shared noise characteristics. This organization enables a final, noise-adaptive low-rank denoising process, where the regularization strength for each cluster is dynamically calibrated using its average AM-FM values to optimally balance noise suppression with structural fidelity. Simulations and real experiments demonstrate that the proposed CEDF-VSNLO framework significantly improves phase accuracy and structural fidelity, outperforming current state-of-the-art techniques.
相移轮廓术(PSP)是光学计量学中高精度三维测量的主要技术,但其精度受到高斯-泊松(GP)混合噪声的限制,这需要高效的去噪。然而,现有的方法在计算效率和物理先验的有效利用方面受到限制。为了克服这些限制,本文提出了一种新的基于方差稳定和噪声自适应低秩优化的计算高效去噪框架,称为CEDF-VSNLO。该框架引入了一种计算策略,将去噪任务从处理N个相移条纹图案转换为仅处理两个方差稳定的正弦/余弦分量图像。由于无论相移步长N如何,处理的图像数量都固定为2,因此该方法将计算成本与移步长解耦,从而实现了从线性O(N)到相对于N的恒定O(1)的基本复杂性降低。此外,该框架通过改进的估计固有调幅和调频(AM-FM)物理先验的方法进一步增强。在得到的AM-FM图的指导下,采用两阶段聚类策略根据图像块的共同噪声特征对其进行分组。该组织实现了最终的噪声自适应低秩去噪过程,其中每个簇的正则化强度使用其平均AM-FM值动态校准,以最佳地平衡噪声抑制与结构保真度。仿真和实际实验表明,所提出的CEDF-VSNLO框架显著提高了相位精度和结构保真度,优于当前最先进的技术。
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引用次数: 0
Wavefront reconstruction for fractional lateral shear measurements using weighted integer shear averages 使用加权整数剪切平均值的分数阶横向剪切测量的波前重建
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-30 DOI: 10.1016/j.optlaseng.2026.109664
Samia Heshmat , Satoshi Tomioka , Naoki Miyamoto , Yuji Yamauchi , Yutaka Matsumoto , Naoki Higashi
Wavefront reconstruction in lateral shearing interferometry typically assumes that the shear amount is an integer multiple of the sampling interval. When the shear is fractional, approximating it with the nearest integer value leads to noticeable reconstruction errors. To address this, we propose a weighted integer shear averaging method. The approach combines reconstructions from nearby integer shears with carefully chosen weights designed to cancel the dominant error terms. Analytical error analysis shows that two-shear averaging removes first-order errors, while three-shear averaging removes second-order errors. Numerical simulations with a test wavefront confirm that the method achieves significantly lower RMS error than conventional single-shear reconstruction. The technique is simple, computationally efficient, and can be readily extended to two-dimensional interferometry. This makes weighted integer shear averaging a practical and accurate tool for wavefront reconstruction when fractional shear is unavoidable.
横向剪切干涉测量中的波前重建通常假设剪切量是采样间隔的整数倍。当剪切是分数型时,用最接近的整数值近似会导致明显的重建误差。为了解决这个问题,我们提出了一种加权整数剪切平均方法。该方法结合了附近整数剪切的重建和精心选择的权重,旨在消除主要的误差项。解析误差分析表明,两次剪切平均消除了一阶误差,三次剪切平均消除了二阶误差。实验波前数值模拟结果表明,该方法的均方根误差明显低于常规的单剪切重建方法。该技术简单,计算效率高,可以很容易地扩展到二维干涉测量。这使得加权整数剪切平均成为一种实用而准确的波前重建工具。
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引用次数: 0
LCVR-based broadband time-division polarimetric imaging technology in visible spectral range 基于lcvr的可见光波段宽带时分偏振成像技术
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-30 DOI: 10.1016/j.optlaseng.2025.109581
Wenxu Jiang , Liyong Ren , Jian Liang
Compared to simultaneous polarimetric imaging systems, time-division systems have unique advantages, including higher detection accuracy, superior spatial resolution, and simpler structural design, making them suitable for a wide range of applications. However, conventional time-division polarimetric imaging systems that rely on rotating optical elements often suffer from reduced reliability, while those based on liquid crystal variable retarders (LCVRs) are typically constrained to single-wavelength operation. To address these limitations, we propose a broadband time-division polarimetric imaging system that eliminates the need for rotating components. A dual-path correction framework is established to compensate for phase retardation errors caused by the wavelength dependent dispersion of the LCVR in the 450-650 nm spectral range, which enables accurate broadband polarimetric imaging across the visible spectrum. Experimental results show that the proposed system achieves an angle of polarization (AoP) measurement error εAoP within 2.28% and a degree of polarization (DoP) measurement error εDoP within 2.5%. This work may provide a reliable technical pathway toward time-division polarimetric imaging with enhanced stability, high precision, low noise, and free from mechanical error sources.
与同时极化成像系统相比,时分成像系统具有更高的检测精度、优越的空间分辨率和更简单的结构设计等独特优势,适用于广泛的应用。然而,传统的依赖旋转光学元件的时分偏振成像系统往往存在可靠性降低的问题,而基于液晶可变缓速器(lcvr)的时分偏振成像系统通常限于单波长工作。为了解决这些限制,我们提出了一个宽带时分偏振成像系统,消除了旋转组件的需要。在450 ~ 650 nm光谱范围内,建立了双路校正框架来补偿LCVR的波长依赖色散引起的相位延迟误差,从而实现了在可见光谱上的精确宽带极化成像。实验结果表明,该系统的偏振角(AoP)测量误差εAoP在2.28%以内,偏振度(DoP)测量误差εDoP在2.5%以内。这项工作可能为实现稳定、高精度、低噪声、无机械误差源的时分偏振成像提供可靠的技术途径。
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引用次数: 0
Review of system modeling and calibration technologies for specular/diffuse composite surface metrology 高光/漫射复合表面测量系统建模与标定技术综述
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-29 DOI: 10.1016/j.optlaseng.2026.109662
Yanling Li , Feng Gao , Yongjia Xu , Matthew Hill , Yubo Ni , Nan Gao , Zhaozong Meng , Zonghua Zhang , Xiangqian Jiang
Geometric optics based optical phase measuring techniques, most prominently fringe projection profilometry (FPP) and phase measuring deflectometry (PMD), have been widely researched for three-dimensional (3D) shape measurement of both diffuse and specular surfaces owing to their advantages of non-contact, speed, and accuracy. FPP is well suited for the measurement of diffuse surfaces, while PMD excels in the measurement of specular surfaces. Various system models and calibration methods for the measurement of composite surfaces have been detailed in literature; however, a comparative overview of the strengths and weaknesses of viable measurement models, calibration methods and application scenarios are lacking. In this work, a review of the advancements in composite surface measurement is presented. Firstly, the fundamental principles of different models are reviewed and categorized, with a comparative analysis of their advantages, limitations, and future development directions. Then, existing calibration techniques are systematically summarized and classified according to their logical relationships, identifying their strengths, weaknesses, and remaining challenges to guide future research. Furthermore, accuracy verification and error compensation strategies for composite surface measurement systems are comprehensively summarized, revealing current research gaps. Finally, future development trends and potential research directions in composite surface measurement and calibration are discussed to address practical challenges such as in-situ measurement in industrial manufacturing, and to provide valuable insights for subsequent studies.
基于几何光学的光学相位测量技术,最突出的是条纹投影轮廓法(FPP)和相位测量偏转法(PMD),由于其非接触、快速和准确的优点,在漫反射和镜面的三维形状测量中得到了广泛的研究。FPP非常适合于漫射表面的测量,而PMD则擅长于镜面的测量。文献中详细介绍了复合材料表面测量的各种系统模型和校准方法;然而,缺乏对可行的测量模型、校准方法和应用场景的优缺点的比较概述。本文综述了复合表面测量的研究进展。首先,对不同模型的基本原理进行了回顾和分类,并对其优势、局限性和未来发展方向进行了比较分析。然后,根据现有的校准技术之间的逻辑关系,对现有的校准技术进行了系统的总结和分类,确定了它们的优势、劣势和存在的挑战,以指导未来的研究。此外,对复合表面测量系统的精度验证和误差补偿策略进行了全面总结,揭示了目前的研究空白。最后,讨论了复合材料表面测量与校准的未来发展趋势和潜在的研究方向,以解决工业制造中原位测量等实际挑战,并为后续研究提供有价值的见解。
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引用次数: 0
Optimization-based structured light profilometry for surface reconstruction of moving objects 基于优化的运动物体表面重建结构光轮廓术
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-28 DOI: 10.1016/j.optlaseng.2026.109627
Stefan Hager , Georg Schitter , Ernst Csencsics
This paper presents a novel approach for accurate surface reconstruction of uniformly moving rigid samples from multi-shot structured light profilometry (SLP). Conventional triangulation-based multi-shot SLP cannot handle moving objects as motion during the acquisition phase causes errors in the assignment of pixel correspondence between cameras and projector. The proposed method utilizes an optimization-based, iterative strategy that considers the movement of the sample between consecutive captures to reconstruct the surface geometry. The optimization process is designed to minimize an objective function which evaluates the pixel value similarities between reprojected surface points in both the camera and projector images. The surface is reconstructed by iteratively refining the minimum search in the objective function using image filtering methods and gradient-based solvers. The method enables robust surface reconstruction of moving samples with a high measurement accuracy of 17 µm for various directions and extents of motion, which can compete with static measurement results from conventional, high-accuracy SLP methods while outperforming them by a factor of more than 20 for large sample displacements, making multi-shot SLP accessible for industrial in-line measurement applications.
提出了一种基于多镜头结构光轮廓术(SLP)的均匀运动刚性样品精确表面重建的新方法。传统的基于三角形的多镜头SLP在采集阶段不能将运动物体作为运动来处理,导致相机与投影仪之间的像素对应分配存在误差。该方法利用基于优化的迭代策略,考虑连续捕获之间样本的运动来重建表面几何形状。优化过程设计为最小化目标函数,该目标函数用于评估相机和投影仪图像中重投影表面点之间的像素值相似性。利用图像滤波方法和基于梯度的求解器对目标函数中的最小搜索进行迭代优化,重构曲面。该方法能够对运动样品进行鲁棒的表面重建,在各种方向和运动范围内具有17 μ m的高测量精度,可以与传统的高精度SLP方法的静态测量结果相竞争,同时在大样本位移方面优于传统的SLP方法20倍以上,使多镜头SLP可用于工业在线测量应用。
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引用次数: 0
Clutter suppression of optical coherence tomography angiography based on kalman filtering of optical attenuation coefficient and eigen decomposition for deep cortex vascular visualization 基于光学衰减系数卡尔曼滤波和特征分解的光学相干断层血管成像杂波抑制
IF 3.7 2区 工程技术 Q2 OPTICS Pub Date : 2026-01-28 DOI: 10.1016/j.optlaseng.2026.109660
Ben Xiang , Xinru Wu , Haoran Zhang , Jian Liu , Yao Yu , Jingmin Luan , Yuqian Zhao , Yi Wang , Yanqiu Yang , Zhenhe Ma
In this study, we present an optical coherence tomography angiography (OCTA) method based on Kalman filtering of optical attenuation coefficient (OAC) and eigen decomposition (oED) for clutter suppression and deep microvascular signal enhancement. The proposed approach utilizes the inherent characteristics of the tissue and suppresses the influence of noise floor on the accuracy of OAC calculation through Kalman filtering, effectively solving the problem of low deep OCT signals causing deep microvascular signals to be overwhelmed by noise and light source jitter. Concurrently, by performing eigen decomposition on the computed OAC images, the method achieves substantial clutter suppression. In phantom and in vivo experiments, oED can effectively suppress clutter and noise, extract deep microvascular signals, promote better differentiation between blood vessels and static tissues, and visualize deep microvessels. Owing to these advantages, vascular maps processed with the oED method exhibit enhanced vessel visibility and connectivity, thereby substantially improving overall image quality. This approach holds significant promise for studying vascular-related pathology in pairs.
在这项研究中,我们提出了一种基于卡尔曼滤波的光学衰减系数(OAC)和本征分解(oED)的光学相干断层血管成像(OCTA)方法,用于杂波抑制和深部微血管信号增强。该方法利用组织的固有特性,通过卡尔曼滤波抑制本底噪声对OAC计算精度的影响,有效解决深层OCT信号低导致深层微血管信号被噪声和光源抖动淹没的问题。同时,通过对计算得到的OAC图像进行特征分解,实现了较好的杂波抑制。在幻影和活体实验中,oED能够有效抑制杂波和噪声,提取深层微血管信号,促进血管与静态组织更好的区分,实现深层微血管可视化。由于这些优点,使用oED方法处理的血管图具有增强的血管可见性和连通性,从而大大提高了整体图像质量。这种方法对成对研究血管相关病理具有重要的前景。
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引用次数: 0
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Optics and Lasers in Engineering
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