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PET image reconstruction with a system matrix containing point spread function derived from single photon incidence response 被引量:1
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作者 樊馨 王海鹏 +8 位作者 贠明凯 孙校丽 曹学香 刘双全 柴培 李道武 刘宝东 王璐 魏龙 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第1期542-550,共9页
A point spread function(PSF) for the blurring component in positron emission tomography(PET) is studied. The PSF matrix is derived from the single photon incidence response function. A statistical iterative recons... A point spread function(PSF) for the blurring component in positron emission tomography(PET) is studied. The PSF matrix is derived from the single photon incidence response function. A statistical iterative reconstruction(IR) method based on the system matrix containing the PSF is developed. More specifically, the gamma photon incidence upon a crystal array is simulated by Monte Carlo(MC) simulation, and then the single photon incidence response functions are calculated. Subsequently, the single photon incidence response functions are used to compute the coincidence blurring factor according to the physical process of PET coincidence detection. Through weighting the ordinary system matrix response by the coincidence blurring factors, the IR system matrix containing the PSF is finally established. By using this system matrix, the image is reconstructed by an ordered subset expectation maximization(OSEM) algorithm. The experimental results show that the proposed system matrix can substantially improve the image radial resolution, contrast,and noise property. Furthermore, the simulated single gamma-ray incidence response function depends only on the crystal configuration, so the method could be extended to any PET scanner with the same detector crystal configuration. 展开更多
关键词 point spread function single photon incidence system matrix positron emission tomography
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DiriNet:An Estimation Network for Spectral Response Function and Point Spread Function 被引量:1
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作者 Ting Hu Siyuan Cheng Chang Liu 《Journal of Beijing Institute of Technology》 EI CAS 2024年第4期287-297,共11页
Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few wo... Hyper-and multi-spectral image fusion is an important technology to produce hyper-spectral and hyper-resolution images,which always depends on the spectral response function andthe point spread function.However,few works have been payed on the estimation of the two degra-dation functions.To learn the two functions from image pairs to be fused,we propose a Dirichletnetwork,where both functions are properly constrained.Specifically,the spatial response function isconstrained with positivity,while the Dirichlet distribution along with a total variation is imposedon the point spread function.To the best of our knowledge,the neural network and the Dirichlet regularization are exclusively investigated,for the first time,to estimate the degradation functions.Both image degradation and fusion experiments demonstrate the effectiveness and superiority of theproposed Dirichlet network. 展开更多
关键词 Dirichlet network point spread function spectral response function hyper-spectralimage multi-spectral image
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Bistatic Synthetic Aperture Radar Point Spread Function Characteristic Analysis
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作者 胡程 曾涛 曾海彬 《Journal of Beijing Institute of Technology》 EI CAS 2007年第2期193-196,共4页
Based on the point spread function (PSF) theory, the side-lobe extension direction of the impulse response in bistatic synthetic aperture radar (BSAR) is analyzed in detail; in addition, the corresponding autofocu... Based on the point spread function (PSF) theory, the side-lobe extension direction of the impulse response in bistatic synthetic aperture radar (BSAR) is analyzed in detail; in addition, the corresponding autofocus in BSAR should be considered along iso-range direction, not the traditional azimuth resolution (AR) direction. The conclusion is verified by the computer simulation. 展开更多
关键词 bistatic synthetic aperture rader (BSAR) point spread function (PSF) range resolution (RR) azimuth resolution (AR) iso-range iso-Doppler
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A Knife-edge Input Point Spread Function Estimation Method for Document Images
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作者 Jianqiang Zhong 《International Journal of Technology Management》 2016年第3期50-52,共3页
In this paper the progress of document image Point Spread Function (PSF) estimation will be presented. At the beginning of the paper, an overview of PSF estimation methods will be introduced and the reason why knife... In this paper the progress of document image Point Spread Function (PSF) estimation will be presented. At the beginning of the paper, an overview of PSF estimation methods will be introduced and the reason why knife-edge input PSF estimation method is chosen will be explained. Then in the next section, the knife-edge input PSF estimation method will be detailed. After that, a simulation experiment is performed in order to verify the implemented PSF estimation method. Based on the simulation experiment, in next section we propose a procedure that makes automatic PSF estimation possible. A real document image is firstly taken as an example to illustrate the procedure and then be restored with the estimated PSF and Lucy-Richardson deconvolution method, and its OCR accuracy before and after deconvolution will be compared. Finally, we conclude the paper with the outlook for the future work. 展开更多
关键词 point spread function document image Knife-edge Input
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Physics-constrained deep-inverse point spread function model:toward non-line-of-sight imaging reconstruction
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作者 Su Wu Chan Huang +4 位作者 Jing Lin Tao Wang Shanshan Zheng Haisheng Feng Lei Yu 《Advanced Photonics Nexus》 2024年第2期90-99,共10页
Non-line-of-sight(NLOS)imaging has emerged as a prominent technique for reconstructing obscured objects from images that undergo multiple diffuse reflections.This imaging method has garnered significant attention in d... Non-line-of-sight(NLOS)imaging has emerged as a prominent technique for reconstructing obscured objects from images that undergo multiple diffuse reflections.This imaging method has garnered significant attention in diverse domains,including remote sensing,rescue operations,and intelligent driving,due to its wide-ranging potential applications.Nevertheless,accurately modeling the incident light direction,which carries energy and is captured by the detector amidst random diffuse reflection directions,poses a considerable challenge.This challenge hinders the acquisition of precise forward and inverse physical models for NLOS imaging,which are crucial for achieving high-quality reconstructions.In this study,we propose a point spread function(PSF)model for the NLOS imaging system utilizing ray tracing with random angles.Furthermore,we introduce a reconstruction method,termed the physics-constrained inverse network(PCIN),which establishes an accurate PSF model and inverse physical model by leveraging the interplay between PSF constraints and the optimization of a convolutional neural network.The PCIN approach initializes the parameters randomly,guided by the constraints of the forward PSF model,thereby obviating the need for extensive training data sets,as required by traditional deep-learning methods.Through alternating iteration and gradient descent algorithms,we iteratively optimize the diffuse reflection angles in the PSF model and the neural network parameters.The results demonstrate that PCIN achieves efficient data utilization by not necessitating a large number of actual ground data groups.Moreover,the experimental findings confirm that the proposed method effectively restores the hidden object features with high accuracy. 展开更多
关键词 non-line-of-sight imaging point spread function model deep learning
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Point spread functions for a small gamma camera with pinhole collimator 被引量:1
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作者 LIU Shi-Tao, XU Zi-Zong, WANG Zhao-Min, XU Shen-Bo (Department of Modern Physics, University of Science and Technology of China, Hefei 230027) 《Nuclear Science and Techniques》 SCIE CAS CSCD 2003年第3期195-198,共4页
A set of point spread functions (PSF) has been obtained by means of Monte-Carlo simulation for asmall gamma camera with a pinhole collimator of various hole diameters. The FOV (field of view) of the camera isexpended ... A set of point spread functions (PSF) has been obtained by means of Monte-Carlo simulation for asmall gamma camera with a pinhole collimator of various hole diameters. The FOV (field of view) of the camera isexpended from 45 mm to 70 mm in diameter. The position dependence of the variances of PSF is presented, and theacceptance for the 140 kev gamma rays is explored. A phantom of 70 mm in diameter was experimentally imaged inthe camera with effective FOV of only 45 mm in diameter. 展开更多
关键词 点扩散函数 γ照相机 针孔准直器 PSF Monte-Carlo仿真 临床诊断
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Universal point spread function engineering for 3D optical information processing
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作者 Md Sadman Sakib Rahman Aydogan Ozcan 《Light: Science & Applications》 2025年第8期2226-2242,共17页
Point spread function(PSF)engineering has been pivotal in the remarkable progress made in high-resolution imaging in the last decades.However,the diversity in PSF structures attainable through existing engineering met... Point spread function(PSF)engineering has been pivotal in the remarkable progress made in high-resolution imaging in the last decades.However,the diversity in PSF structures attainable through existing engineering methods is limited.Here,we report universal PSF engineering,demonstrating a method to synthesize an arbitrary set of spatially varying 3D PSFs between the input and output volumes of a spatially incoherent diffractive processor composed of cascaded transmissive surfaces.We rigorously analyze the PSF engineering capabilities of such diffractive processors within the diffraction limit of light and provide numerical demonstrations of unique imaging capabilities,such as snapshot 3D multispectral imaging without involving any spectral filters,axial scanning or digital reconstruction steps,which is enabled by the spatial and spectral engineering of 3D PSFs.Our framework and analysis would be important for future advancements in computational imaging,sensing,and diffractive processing of 3D optical information. 展开更多
关键词 engineering methods Universal PSF Engineering d psfs Spatially Varying PSFs cascaded transmissive surfaceswe point spread function psf engineering D Optical Information Processing Diffractive Processor
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Plasmon point spread functions: How do we model plasmon-mediated emission processes? 被引量:3
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作者 Katherine A. Willets 《Frontiers of physics》 SCIE CSCD 2014年第1期3-16,共14页
A major challenge with studying plasmon-mediated emission events is the small size of plasmonic nanoparticles relative to the wavelength of light. Objects smaller than roughly half the wavelength of light will appear ... A major challenge with studying plasmon-mediated emission events is the small size of plasmonic nanoparticles relative to the wavelength of light. Objects smaller than roughly half the wavelength of light will appear as diffraction-limited spots in far-field optical images, presenting a significant experimental challenge for studying plasmonic processes on the nanoscale. Super-resolution imaging has recently been applied to plasmonic nanosystems and allows plasmon-mediated emission to be resolved on the order of ~5 nm. In super-resolution imaging, a diffraction-limited spot is fit to some model function in order to calculate the position of the emission centroid, which represents the loca- tion of the emitter. However, the accuracy of the centroid position strongly depends on how well the fitting function describes the data. This Perspective discusses the commonly used two-dimensional Gaussian fitting function applied to super-resolution imaging of plasmon-mediated emission, then introduces an alternative model based on dipole point spread flmctions. The two fitting models are compared and contrasted for super-resolution imaging of nanoparticle scattering/luminescence, surface-enhanced Raman scattering, and surface-enhanced fluorescence. 展开更多
关键词 PLASMON point spread function DIPOLE SUPER-RESOLUTION surface-enhanced Ramanscattering (SERS)
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Numerical study of point spread function of a fast neutron radiography system based on scintillating-fiber array 被引量:2
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作者 ZHANG FaQiang LI ZhengHong +5 位作者 YANG JianLun YE Fan WANG Zhen XIA GuangXin YING ChunTong LIU GuangJun 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2007年第6期698-706,共9页
For a scintillating-fiber array fast-neutron radiography system,a point-spread-function computing model was introduced,and the simulation code was developed. The results of calculation show that fast-neutron radiograp... For a scintillating-fiber array fast-neutron radiography system,a point-spread-function computing model was introduced,and the simulation code was developed. The results of calculation show that fast-neutron radiographs vary with the size of fast neutron sources,the size of fiber cross-section and the imaging geometry. The results suggest that the following qualifications are helpful for a good point spread function: The cross-section of scintillating fibers not greater than 200 μm×200 μm,the size of neutron source as small as a few millimeters,the distance between the source and the scintillating fiber array greater than 1 m,and inspected samples placed as close as possible to the array. The results give suggestions not only to experiment considerations but also to the estimation of spatial resolution for a specific system. 展开更多
关键词 fast neutron radiography scintillating-fiber array point spread function Monte Carlo simulation
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Effects of mask-alignment error on point spread function for multi-level Fresnel diffractive lenses 被引量:3
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作者 Dun Liu Shibin Wu +3 位作者 Wei Yang Lihua Wang Bin Fan and Fan Wu 《Chinese Optics Letters》 SCIE EI CAS CSCD 2018年第9期4-9,共6页
The full aperture complex amplitude transmittance function of a multi-level diffraction lens with mask- alignment errors was derived based on scalar diffraction theory. The point spread function (PSF) was calculated... The full aperture complex amplitude transmittance function of a multi-level diffraction lens with mask- alignment errors was derived based on scalar diffraction theory. The point spread function (PSF) was calculated by the Kirchhoff diffraction integral. It is found that the radius of the Airy disk increases with the increase of the error in the direction of misalignment, and the image center shifts along the direction of misalignment. A fourlevel diffractive lens with a diameter of 80 mm was fabricated, and its PSF and diffraction efficiency of +1st order were calculated and measured. The distribution of PSF is consistent with the calculated results, and the tested diffraction efficiency is slightly smaller than the calculated value; the relative error is 5.71%. 展开更多
关键词 PSF Effects of mask-alignment error on point spread function for multi-level Fresnel diffractive lenses
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Point spread function modeling and image restoration for cone-beam CT 被引量:1
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作者 张华 黄魁东 +1 位作者 史仪凯 徐哲 《Chinese Physics C》 SCIE CAS CSCD 2015年第3期101-106,共6页
X-ray cone-beam computed tomography (CT) has such notable features as high efficiency and precision, and is widely used in the fields of medical imaging and industrial non-destructive testing, but the inherent imagi... X-ray cone-beam computed tomography (CT) has such notable features as high efficiency and precision, and is widely used in the fields of medical imaging and industrial non-destructive testing, but the inherent imaging degradation reduces the quality of CT images. Aimed at the problems of projection image degradation and restoration in cone-beam CT, a point spread function (PSF) modeling method is proposed first. The general PSF model of cone- beam CT is established, and based on it, the PSF under arbitrary scanning conditions can be calculated directly for projection image restoration without the additional measurement, which greatly improved the application convenience of cone-beam CT. Secondly, a projection image restoration algorithm based on pre-filtering and pre-segmentation is proposed, which can make the edge contours in projection images and slice images clearer after restoration, and control the noise in the equivalent level to the original images. Finally, the experiments verified the feasibility and effectiveness of the proposed methods. 展开更多
关键词 cone-beam CT point spread function image restoration noise control
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A phase model for point spread function estimation in ground-based astronomy 被引量:1
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作者 CHAN Raymond Honfu YUAN XiaoMing ZHANG WenXing 《Science China Mathematics》 SCIE 2013年第12期2701-2710,共10页
In ground-based astronomy, images of objects in outer space are acquired via ground-based tele- scopes. However, the imaging system is generally interfered by atmospheric turbulence and hence images so acquired are bl... In ground-based astronomy, images of objects in outer space are acquired via ground-based tele- scopes. However, the imaging system is generally interfered by atmospheric turbulence and hence images so acquired are blurred with unknown point spread function (PSF). To restore the observed images, aberration of the wavefront at the telescope's aperture, i.e., the phase, is utilized to derive the PSF. However, the phase is not readily available. Instead, its gradients can be collected by wavefront sensors. Thus the usual approach is to use regularization methods to reconstruct high-resolution phase gradients and then use them to recover the phase in high accuracy. Here, we develop a model that reconstructs the phase directly. The proposed model uses the tight frame regularization and it can be solved efficiently by the Douglas-Rachford alternating direction method of multipliers whose convergence has been well established. Numerical results illustrate that our new model is efficient and gives more accurate estimation for the PSF. 展开更多
关键词 point spread function astronomical imaging phase model tight frame alternating directionmethod of multipliers
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Resolution enhancement of optical scanning holography with a spiral modulated point spread function 被引量:1
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作者 Ni Chen Zhenbo Ren +1 位作者 Haiyan Ou Edmund Y.Lam 《Photonics Research》 SCIE EI 2016年第1期1-6,共6页
In optical scanning holography, one pupil produces a spherical wave and another produces a plane wave. They interfere with each other and result in a fringe pattern for scanning a three-dimensional object. The resolut... In optical scanning holography, one pupil produces a spherical wave and another produces a plane wave. They interfere with each other and result in a fringe pattern for scanning a three-dimensional object. The resolution of the hologram reconstruction is affected by the point spread function(PSF) of the optical system. In this paper, we modulate the PSF by a spiral phase plate, which significantly enhances the lateral and depth resolution. We explain the theory for such resolution enhancement and show simulation results to verify the efficacy of the approach. 展开更多
关键词 PSF Resolution enhancement of optical scanning holography with a spiral modulated point spread function
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Point spread function decoupling in computationalfluorescence microscopy
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作者 Ziwei Wang Wanyu Gu +6 位作者 Shaolei Xu Yupei Miao Zewei Cai Xiang Peng Xiaoli Liu Liwei Liu Qifeng Yu 《Light: Science & Applications》 2026年第1期321-331,共11页
Computational fluorescence microscopy constantly breaks through imaging performance through advanced opticalmodulation technologies;however, conventional theoretical modeling and experimental measurement approachesare... Computational fluorescence microscopy constantly breaks through imaging performance through advanced opticalmodulation technologies;however, conventional theoretical modeling and experimental measurement approachesare challenging to meet the demand for accurate system characterization of diverse modulations. To this end, wepropose a point spread function (PSF) decoupling method that is intrinsically compatible with the optimaldemodulation in computational microscopic imaging modality. The critical core lies in designing a sample prior-basedcomputational imaging strategy, in which a regular fluorescent sample instead of generally used sub-diffractionlimited particles acts as a system modulator to demodulate the system response. PSF consequently can becomputationally optimized through the strong support from the modulated sample prior, achieving accurate nonparametricsystem characterization and thereby avoiding the modeling difficulty and the low signal-to-noise ratiomeasurement errors of the system specificity. Experimental results across various biological tissues demonstrated andverified that the proposed PSF decoupling method enables excellent volumetric imaging comparable to confocalmicroscopy and multicolor, large depth-of-field imaging under aperture modulation. It provides a promisingmechanism of system characterization and computational demodulation for high-contrast and high-resolutionimaging of cellular and subcellular biological structures and life activities. 展开更多
关键词 computational fluorescence microscopy experimental measurement approachesare advanced opticalmodulation technologies conventional theoretical modeling computational microscopic imaging modality accurate system characterization point spread function point spread function decoupling
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利用离焦诱导的弥散圆进行镜面颗粒尺寸测量
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作者 路洪腾 宫平 +2 位作者 卢鑫磊 韶莉霞 马辰昊 《中国光学(中英文)》 北大核心 2026年第1期39-48,共10页
光学表面颗粒污染检测是保障空间望远镜成像性能的重要措施。传统颗粒污染检测常使用暗场散射显微镜拍摄颗粒图像,再对图像中颗粒外轮廓作外接圆计算颗粒尺寸。该方法要求拍摄过程严格对焦,对不规则形状的颗粒尺寸检测结果误差较大。为... 光学表面颗粒污染检测是保障空间望远镜成像性能的重要措施。传统颗粒污染检测常使用暗场散射显微镜拍摄颗粒图像,再对图像中颗粒外轮廓作外接圆计算颗粒尺寸。该方法要求拍摄过程严格对焦,对不规则形状的颗粒尺寸检测结果误差较大。为了提高检测镜面上微小颗粒尺寸的精度,消除对焦不准和颗粒形状差异带来的误差。本文提出利用离焦诱导的弥散圆检测颗粒尺寸的方法。利用颗粒尺寸与颗粒散射能量的对应关系,通过离焦将颗粒的暗场散射图像变成弥散圆。最后分析颗粒离焦弥散圆特征来测量颗粒的真实尺寸。该方法可以规避颗粒形状以及系统对焦程度对检测结果的干扰。实验结果表明:利用离焦弥散圆检测颗粒尺寸的方法在不同离焦量下都有较高的检测精度,相较于传统的使用暗场散射显微镜的方法,对于不规则形状颗粒尺寸的检测误差从平均58%降低到10.3%。验证了离焦弥散圆检测颗粒尺寸方法的可行性,并可以有效提高检测不规则颗粒尺寸的精度。 展开更多
关键词 颗粒检测 暗场散射 点扩散函数 MIE散射
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Analysis of the optical quality by determining the modulation transfer function for anterior corneal surface in myopes 被引量:6
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作者 Yan-Zhen Zheng, Yao-Yu Li 《International Journal of Ophthalmology(English edition)》 SCIE CAS 2012年第2期196-201,共6页
AIM: To describe the characteristics of modulation transfer function (MTF) of anterior corneal surface, and obtain the the normal reference range of MTF at different spatial frequencies and optical zones of the anteri... AIM: To describe the characteristics of modulation transfer function (MTF) of anterior corneal surface, and obtain the the normal reference range of MTF at different spatial frequencies and optical zones of the anterior corneal surface in myopes. METHODS: Four hundred eyes from 200 patients were examined under SIRIUS corneal topography system. Phoenis analysis software was applied to simulate the MTF curves of anterior corneal surface at vertical and horizontal meridians at the 3, 4, 5, 6, 7mm optical zones of cornea. The MTF values at spatial frequencies of 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55 and 60 cycles/degree (c/d) were selected. RESULTS: The MTF curve of anterior corneal surface decreased rapidly from low to intermediate frequency (0-15cpd) at various optical zones of cornea, the value decreased to 0 slowly at higher frequency (>15cpd). With the increase of the optical zones of cornea, MTF curve decreased gradually. 3) In the range of 3 mm- 6 mm optical zones of the cornea, the MTF values measured at horizontal meridian were greater than the corresponding values at horizontal meridian of each spatial frequency, the difference was statistically significant (P<0.05). At 7 mm optical zones of cornea, the MTF values measured at horizontal meridian were less than the corresponding values at vertical meridian at 10-60 spatial frequencies (cpd), and the difference was statistically significant in 25, 30, 35, 40, 45, 50 cpd(P<0.05). CONCLUSION: MTF can be used to describe the imaging quality of optical systems at anterior corneal surface objectively in detail. 展开更多
关键词 modulation transfer function optical quality CORNEA point spread function optical transfer function phase transfer function
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基于点扩散函数的编码后的高速压缩成像
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作者 程涛 涂鑫 陶晨晨 《兵器装备工程学报》 北大核心 2026年第1期321-326,共6页
针对高速相机成像速度不够高和点扩散函数效应导致图像模糊的问题,提出了基于点扩散函数的编码后的高速压缩成像模型。通过磨砂玻璃对点扩散函数效应明显的模糊图像逐帧编码,将编码后的图像帧通过软件或硬件方法逐帧错位叠加,构建与原... 针对高速相机成像速度不够高和点扩散函数效应导致图像模糊的问题,提出了基于点扩散函数的编码后的高速压缩成像模型。通过磨砂玻璃对点扩散函数效应明显的模糊图像逐帧编码,将编码后的图像帧通过软件或硬件方法逐帧错位叠加,构建与原始图像和真图逐列首尾相接后的向量元素位置对应的测量矩阵,通过重构算法实现原始图像的解码重构。实验结果表明,明显的点扩散函数效应不但不会劣化原始图像的重构效果,反而使重构图像更清晰,同时大大改善高速相机的成像速度。 展开更多
关键词 压缩感知 点扩散函数 磨砂玻璃 高速摄影 测量矩阵
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基于在轨点目标估计的图像复原方法
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作者 陈轩 丁与非 +3 位作者 岳鑫 王潜 齐文雯 岳春宇 《激光与红外》 北大核心 2025年第8期1314-1322,共9页
卫星长期在空间环境中开展工作,易受到外力或温度变化的影响,使得图像中出现模糊和拖尾等现象,导致图像质量的退化。如何能够从退化图像提取出目标的有效信息是当前面临的十分棘手的问题。在轨运行阶段卫星不具备对光学系统进行自我修... 卫星长期在空间环境中开展工作,易受到外力或温度变化的影响,使得图像中出现模糊和拖尾等现象,导致图像质量的退化。如何能够从退化图像提取出目标的有效信息是当前面临的十分棘手的问题。在轨运行阶段卫星不具备对光学系统进行自我修复的能力,只能采取图像复原的方式恢复图像原有的应用水平。为了解决相机受到典型光学像差影响导致图像质量退化难题,本文提出了一种基于地面点目标估计点扩散函数的维纳滤波图像复原方法,首先利用地面点目标完成点扩散函数估计,其次对退化图像进行振铃抑制处理,最后完成图像退化处理。方法可以显著改善图像的清晰度,减少图像中“振铃”的出现。以全色和多光谱的退化图像作为仿真分析对象,利用主观目视和客观测试等两种评价方式对不同工况下图像复原质量进行评价,确定退化图像的最佳复原方案。通过对相机的MTF、SNR等核心指标进行复测,并将测试结果与复原前的测试结果进行比较,复原后图像的MTF测试结果提升1.5倍以上,SNR测试结果下降小于5dB,有效保障了相机的成像能力和应用水平。 展开更多
关键词 图像复原 维纳滤波 振铃效应 点扩散函数
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基于改进暗通道先验和ADMM优化的图像盲复原
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作者 赵小强 王涛 宋昭漾 《传感技术学报》 北大核心 2025年第8期1406-1414,共9页
针对运动退化图像中存在较大噪声时,暗通道先验无法准确估计点扩散函数和在最大后验框架下采用梯度先验约束难以求得最优解的问题,提出一种基于改进暗通道先验和ADMM优化的运动退化图像盲复原算法。首先,根据分数阶具备非线性保留低频... 针对运动退化图像中存在较大噪声时,暗通道先验无法准确估计点扩散函数和在最大后验框架下采用梯度先验约束难以求得最优解的问题,提出一种基于改进暗通道先验和ADMM优化的运动退化图像盲复原算法。首先,根据分数阶具备非线性保留低频成分和抑制噪声的特点,使其对暗通道先验进行改进;然后通过改进的暗通道先验构造出点扩散函数估算模型并采用半二次方分裂方法解决其非凸问题;在对点扩散函数进行复原时,采用由粗到细的多尺度交替迭代优化框架,使得迭代出的最大尺度点扩散函数更加精确;最后建立导数空间总变分模型,利用交替方向乘子法(ADMM)对其进行优化,从而达到在导数空间总变分模型之下可以收敛到最优解、复原出更多图像细节的目的。实验结果表明:所提算法可以有效降低图像中的噪声、伪影和振铃现象,使得复原出的图像更加清晰、具有更多的图像细节。 展开更多
关键词 图像处理 运动退化图像盲复原 暗通道先验 点扩散函数 多尺度 交替方向乘子法
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基于曲面插值的光学系统点扩散函数重构 被引量:1
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作者 程雪 刘晓华 +1 位作者 傅雨田 陈永和 《仪器仪表学报》 北大核心 2025年第2期279-291,共13页
光学系统点扩散函数的数据采样和拟合重构过程中,引入的背景噪声及外部干扰会导致仪器测量结果的误差。传统的固定目标函数点扩散函数拟合算法自适应性较弱,在光学仪器的测试过程中,无法有效还原光斑形态,这些误差项对仪器的图像质量分... 光学系统点扩散函数的数据采样和拟合重构过程中,引入的背景噪声及外部干扰会导致仪器测量结果的误差。传统的固定目标函数点扩散函数拟合算法自适应性较弱,在光学仪器的测试过程中,无法有效还原光斑形态,这些误差项对仪器的图像质量分析结果造成了一定的影响。针对此问题,提出了一种适用于光学成像系统的点扩散函数计算方法,针对不同光斑形态进行能量获取和重构,有效地保留了光斑的原始形态。利用光斑图像数据进行三次样条插值计算,构造亚像元级数据矩阵,对不同位置光斑进行杂散光抑制处理和质心修正,获得更接近真实光斑形态的三维曲面。考虑传感器精度差异,调节步长控制能量集中度对应的光斑半径,能够满足不同的测试需求。高斯光斑仿真分析与实验室测试结果表明,与高斯拟合法、最近邻插值法和盲去卷积法相比,所提方法更接近实际情况,曲面插值法误差仅为|ε|=0.0002,像质观测区域内偏离率<5%,能够提供较为准确的能量集中度结果。算法对点扩散函数形态变化较为敏感,能够有效分辨小尺寸光斑内存在的多峰,常温测试条件下也具有较高的精度,在仪器干扰源定位、光学调焦等方面具有工程应用价值,为光学成像系统的研制和性能分析提供了理论计算方法。 展开更多
关键词 点扩散函数 3次样条插值 目标函数 能量集中度 成像系统
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