Fourier Analysis

傅里叶分析
  • 文章类型: Journal Article
    能够对生长软骨的微观结构进行成像对于了解骨软骨病和骨关节炎等疾病的发作和进展非常重要,以及开发新的治疗方法和植入物。使用常规光学明场显微镜对软骨的研究严重依赖于组织学染色,添加的化学物质提供组织特有的颜色。其他显微镜对比机制包括偏振,相位和散射对比度,启用非染色或“无标签”成像,大大简化了样品制备,从而也降低了人工制品的风险。传统的高性能显微镜往往既笨重又昂贵。计算成像表示一系列技术,其中具有专用算法的计算机用作图像形成过程的组成部分。计算成像提供了许多优势,如3D测量,像差校正和定量相衬,经常结合比较便宜和紧凑的硬件。X射线显微镜也在迅速发展,在某些方面跟踪光学显微镜的发展。在这项研究中,我们首先简要回顾了生长软骨的结构和相关的显微镜表征技术,重点是FPM和先进的X射线显微镜。接下来,我们通过傅立叶重叠显微镜(FPM)用自己的结果演示计算成像,并将图像与苏木精伊红和藏红花(HES)染色的组织学进行比较。泽尼克相衬,并报道了二次谐波产生(SHG)和双光子激发荧光(TPEF)的非线性光学显微镜技术。X射线衰减-,还提供了同一样品的相位和衍射对比计算机断层扫描(CT)图像进行比较。关于人工智能链接的未来观点,动态研究和体内可能性总结了这篇文章。
    Being able to image the microstructure of growth cartilage is important for understanding the onset and progression of diseases such as osteochondrosis and osteoarthritis, as well as for developing new treatments and implants. Studies of cartilage using conventional optical brightfield microscopy rely heavily on histological staining, where the added chemicals provide tissue-specific colours. Other microscopy contrast mechanisms include polarization, phase- and scattering contrast, enabling non-stained or \'label-free\' imaging that significantly simplifies the sample preparation, thereby also reducing the risk of artefacts. Traditional high-performance microscopes tend to be both bulky and expensive.Computational imagingdenotes a range of techniques where computers with dedicated algorithms are used as an integral part of the image formation process. Computational imaging offers many advantages like 3D measurements, aberration correction and quantitative phase contrast, often combined with comparably cheap and compact hardware. X-ray microscopy is also progressing rapidly, in certain ways trailing the development of optical microscopy. In this study, we first briefly review the structures of growth cartilage and relevant microscopy characterization techniques, with an emphasis on Fourier ptychographic microscopy (FPM) and advanced x-ray microscopies. We next demonstrate with our own results computational imaging through FPM and compare the images with hematoxylin eosin and saffron (HES)-stained histology. Zernike phase contrast, and the nonlinear optical microscopy techniques of second harmonic generation (SHG) and two-photon excitation fluorescence (TPEF) are explored. Furthermore, X-ray attenuation-, phase- and diffraction-contrast computed tomography (CT) images of the very same sample are presented for comparisons. Future perspectives on the links to artificial intelligence, dynamic studies andin vivopossibilities conclude the article.
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  • 文章类型: Journal Article
    Fourierptypographic显微镜(FPM)在2013年成为一种突出的成像技术,由于其出色的功能,例如精确的相位检索,引起了人们的极大兴趣。广阔的视野(FOV),优越的分辨率。在过去的十年里,FPM已成为显微镜中必不可少的工具,在计量学中的应用,科学研究,生物医学,和检查。这一成就源于其有效解决成像系统中实现FOV和分辨率之间权衡的持续挑战的能力。它具有广泛的应用,包括无标签成像,药物筛选,和数字病理学。在这次全面审查中,我们简要概述了FPM的基本原理,并将其与类似的成像技术进行了比较。此外,我们提出了实现恢复照片的着色和提高FPM速度的研究。随后,我们展示了利用前面描述的技术的几个FPM应用程序,特别关注数字病理学,药物筛选,和三维成像。我们彻底研究了与整合深度学习和FPM相关的好处和挑战。总结一下,我们对FPM的技术进步发表了自己的观点,并探索了其未来发展的前景。
    Fourier ptychographic microscopy (FPM) emerged as a prominent imaging technique in 2013, attracting significant interest due to its remarkable features such as precise phase retrieval, expansive field of view (FOV), and superior resolution. Over the past decade, FPM has become an essential tool in microscopy, with applications in metrology, scientific research, biomedicine, and inspection. This achievement arises from its ability to effectively address the persistent challenge of achieving a trade-off between FOV and resolution in imaging systems. It has a wide range of applications, including label-free imaging, drug screening, and digital pathology. In this comprehensive review, we present a concise overview of the fundamental principles of FPM and compare it with similar imaging techniques. In addition, we present a study on achieving colorization of restored photographs and enhancing the speed of FPM. Subsequently, we showcase several FPM applications utilizing the previously described technologies, with a specific focus on digital pathology, drug screening, and three-dimensional imaging. We thoroughly examine the benefits and challenges associated with integrating deep learning and FPM. To summarize, we express our own viewpoints on the technological progress of FPM and explore prospective avenues for its future developments.
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  • 文章类型: Journal Article
    中风是神经科学和公共卫生研究的核心领域,因为它对死亡率和残疾的全球贡献。中风的复杂病理生理学,包括缺血和出血事件,涉及氧气和营养输送到大脑的中断。中枢神经系统中这些关键过程的破坏导致代谢失调和细胞死亡。傅里叶变换红外(FTIR)光谱法可以同时测量总蛋白质和脂质含量以及使用常规技术无法观察到的脑组织内的许多关键生物标志物。FTIR成像提供了在分析前未经化学处理的组织中可视化此信息的机会。从而保留了空间分布和原位化学信息。在这里,我们对用于研究中风后大脑中生物标志物反应的FTIR成像方法进行了综述。
    Stroke represents a core area of study in neurosciences and public health due to its global contribution toward mortality and disability. The intricate pathophysiology of stroke, including ischemic and hemorrhagic events, involves the interruption in oxygen and nutrient delivery to the brain. Disruption of these crucial processes in the central nervous system leads to metabolic dysregulation and cell death. Fourier transform infrared (FTIR) spectroscopy can simultaneously measure total protein and lipid content along with a number of key biomarkers within brain tissue that cannot be observed using conventional techniques. FTIR imaging provides the opportunity to visualize this information in tissue which has not been chemically treated prior to analysis, thus retaining the spatial distribution and in situ chemical information. Here we present a review of FTIR imaging methods for investigating the biomarker responses in the post-stroke brain.
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  • 文章类型: Journal Article
    卤化有机化合物(HOC),广泛存在于各种环境中,通常是由自然过程形成的(例如,光化学卤化)和人为活动(例如,水消毒和HOC的人为排放),带来健康和环境风险。因此,深入了解分子组成,改造,HOC的命运对调节和减少其形成至关重要。由于HOCs及其前体的极其复杂的性质,HOCs的分子组成在很大程度上仍然未知。傅里叶变换离子回旋共振质谱(FT-ICRMS)为HOC及其前体的同时分子级表征提供了最强大的分辨率和质量精度。然而,关于FT-ICRMS对HOC的全面表征的评论仍然很少。根据FT-ICRMS,形成机制,样品预处理,并总结了两种典型HOC类别的分析方法,本文综述了卤化消毒副产物和全氟烷基和多氟烷基物质。此外,我们重点介绍了使用FT-ICRMS的数据分析方法和HOC的一些典型应用,并对当前问题提出了建议。这篇综述将加深我们对水系统中HOCs的化学表征及其在分子水平上的形成机制和转化的理解,促进最先进的FT-ICRMS在环境和地球化学研究中的应用。
    Halogenated organic compounds (HOCs), widely present in various environments, are generally formed by natural processes (e.g., photochemical halogenation) and anthropogenic activities (e.g., water disinfection and anthropogenic discharge of HOCs), posing health and environmental risks. Therefore, in-depth knowledge of the molecular composition, transformation, and fate of HOCs is crucial to regulate and reduce their formation. Because of the extremely complex nature of HOCs and their precursors, the molecular composition of HOCs remains largely unknown. The Fourier transform ion cyclotron resonance mass spectrometry (FT-ICR MS) offers the most powerful resolution and mass accuracy for the simultaneous molecular-level characterization of HOCs and their precursors. However, there is still a paucity of reviews regarding the comprehensive characterization of HOCs by FT-ICR MS. Based on the FT-ICR MS, the formation mechanism, sample pretreatment, and analysis methods were summarized for two typical HOCs classes, namely halogenated disinfection byproducts and per- and polyfluoroalkyl substances in this review. Moreover, we have highlighted data analysis methods and some typical applications of HOCs using FT-ICR MS and proposed suggestions for current issues. This review will deepen our understanding of the chemical characterization of HOCs and their formation mechanisms and transformation at the molecular level in aquatic systems, facilitating the application of the state-of-the-art FT-ICR MS in environmental and geochemical research.
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  • 文章类型: Journal Article
    The biogeochemical cycling of soil organic matter (SOM) plays a central role in regulating soil health, water quality, carbon storage, and greenhouse gas emissions. Thus, many studies have been conducted to reveal how anthropogenic and climate variables affect carbon sequestration and nutrient cycling. Among the analytical techniques used to better understand the speciation and transformation of SOM, Fourier transform ion cyclotron resonance mass spectrometry (FTICR MS) is the only technique that has sufficient mass resolving power to separate and accurately assign elemental compositions to individual SOM molecules. The global increase in the application of FTICR MS to address SOM complexity has highlighted the many challenges and opportunities associated with SOM sample preparation, FTICR MS analysis, and mass spectral interpretation. Here, we provide a critical review of recent strategies for SOM characterization by FTICR MS with emphasis on SOM sample collection, preparation, analysis, and data interpretation. Data processing and visualization methods are presented with suggested workflows that detail the considerations needed for the application of molecular information derived from FTICR MS. Finally, we highlight current research gaps, biases, and future directions needed to improve our understanding of organic matter chemistry and cycling within terrestrial ecosystems.
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  • 文章类型: Journal Article
    血管内光声学(IV-PA)是一种新兴的动脉粥样硬化成像模式,可提供具有声学深度穿透和分辨率的动脉壁化学特异性光学信息。由于动脉粥样硬化斑块的脂质组成被认为是斑块易损性的主要指标之一,许多IV-PA应用被校准以靶向斑块坏死核心。基于光激发的模式和相应的信号处理技术,IV-PA分为两种不同的模式。基于脉冲的IV-PA具有高峰值功率和简单的时域信号处理技术,已成为通用的IV-PA成像模式。作为替代,作为类似雷达的频域信号处理模态,基于低功率连续波(CW)的IV-PA一直在大力开发中。根据其物理和成像能力,对两种最先进的IV-PA类型进行了回顾,主要侧重于最近在该领域引入的基于频率扫描CW的IV-PA。
    Intravascular photoacoustics (IV-PA) is an emerging atherosclerosis imaging modality that provides chemical-specific optical information of arterial walls with acoustic depth penetration and resolution. As lipid composition of atherosclerotic plaques is considered to be one of the primary indicators for plaque vulnerability, many IV-PA applications are calibrated so as to target plaque necrotic cores. Based on the mode of optical excitation and the corresponding signal processing technique, IV-PA is categorized into two different modalities. The pulse-based IV-PA has been the universal IV-PA imaging mode with its high peak power and straightforward time-domain signal processing technique. As an alternative, the low power continuous-wave (CW)-based IV-PA has been under intense development as a radar-like frequency-domain signal processing modality. The two state-of-the-art types of IV-PA are reviewed in terms of their physics and imaging capabilities, with major emphasis on frequency-swept CW-based IV-PA that has been recently introduced in the field.
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  • 文章类型: Journal Article
    This paper summarizes results from two large lung cancer studies comprising over 700 samples that demonstrate the ability of spectral histopathology (SHP) to distinguish cancerous tissue regions from normal tissue, to differentiate benign lesions from normal tissue and cancerous lesions, and to classify lung cancer types. Furthermore, malignancy-associated changes can be identified in cancer-adjacent normal tissue. The ability to differentiate a multitude of normal cells and tissue types allow SHP to identify tumor margins and immune cell infiltration. Finally, SHP easily distinguishes small cell lung cancer (SCLC) from non-SCLC (NSCLC) and provides a further differentiation of NSCLC into adenocarcinomas and squamous cell carcinomas with an accuracy comparable of classical histopathology combined with immunohistochemistry. Case studies are presented that demonstrates that SHP can resolve interobserver discrepancies in standard histopathology.
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  • 文章类型: Journal Article
    The basis and reliability for timely diagnosis of cardiovascular diseases depend on the robust and accurate detection of QRS complexes along with the fiducial points in the electrocardiogram (ECG) signal. Despite, the several QRS detection algorithms reported in the literature, the development of an efficient QRS detector remains a challenge in the clinical environment. Therefore, this article summarizes the performance analysis of various QRS detection techniques depending upon three assessment factors which include robustness to noise, computational load, and sensitivity validated on the benchmark MIT-BIH arrhythmia database. Moreover, the limitations of these algorithms are discussed and compared with the standard signal processing algorithms, followed by the future suggestions to develop a reliable and efficient QRS methodology. Further, the suggested method can be implemented on suitable hardware platforms to develop smart health monitoring systems for continuous and long-term ECG assessment for real-time applications.
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  • 文章类型: Historical Article
    光学相干断层扫描以非接触和非侵入方式提供组织切片。该设备测量从生物组织散射或反射的光的时间延迟和强度,这导致其内部结构的断层成像。这是通过以1至15μm的分辨率扫描组织来实现的。OCT可实现组织的实时原位成像,而无需活检,组织学程序,或者使用X射线,所以它可以用于许多医学领域。它的特性不仅特别用于眼科,在视网膜所有层的诊断中,而且在心脏病学中也越来越多,胃肠病学,肺科,肿瘤学,和皮肤病学。OCT的基本特性,也就是说,使用的光的非侵入性和低瓦数,在分析技术方面也受到了保护者的赞赏,他们用它来识别绘画的质量和年龄,陶瓷,或玻璃。最近,OCT可视化技术正在牙科的不同领域进行测试,这在文章中有所描述。
    Optical coherence tomography provides sections of tissues in a noncontact and noninvasive manner. The device measures the time delay and intensity of the light scattered or reflected from biological tissues, which results in tomographic imaging of their internal structure. This is achieved by scanning tissues at a resolution ranging from 1 to 15 μm. OCT enables real-time in situ imaging of tissues without the need for biopsy, histological procedures, or the use of X-rays, so it can be used in many fields of medicine. Its properties are not only particularly used in ophthalmology, in the diagnosis of all layers of the retina, but also increasingly in cardiology, gastroenterology, pulmonology, oncology, and dermatology. The basic properties of OCT, that is, noninvasiveness and low wattage of the used light, have also been appreciated in analytical technology by conservators, who use it to identify the quality and age of paintings, ceramics, or glass. Recently, the OCT technique of visualization is being tested in different fields of dentistry, which is depicted in the article.
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  • 文章类型: Journal Article
    Fourier Shell Correlation, Spectral Signal-to-Noise Ratio, Fourier Neighbour Correlation, and Differential Phase Residual are different measures that have been proposed over time to determine the spatial resolution achieved by a certain 3D reconstruction. Estimates of B-factors to describe the reduction in signal-to-noise ratio with increasing resolution is also a useful parameter. All these concepts are interrelated and different thresholds have been given for each one of them. However, the problem of resolution assessment in 3DEM is still far from settled and preferences are normally adopted in order to choose the \"correct\" threshold. In this paper we review the different concepts, their theoretical foundations and the derivation of their statistical distributions (the basis for establishing sensible thresholds). We provide theoretical justifications for some common practices in the field for which a formal justification was missing. We also analyze the relationship between SSNR and B-factors, the electron dose needed for achieving a given contrast and resolution, the number of images required, etc. Finally, we review the consequences for the number of particles needed to achieve a certain resolution and how to analyze the Signal-to-Noise Ratio for a sequence of imaging operations.
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