Space–bandwidth product of optical signals and systems

Lohmann, Adolf W.; Dorsch, Rainer G.; Mendlovic, David; Zalevsky, Zeev; Ferreira, Carlos

doi:10.1364/josaa.13.000470

Cited by 354 publications

(235 citation statements)

References 3 publications

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“…This is primarily limited by the frame rate achieved by the current camera technologies, which hinders fast automated specimen stage scanning. Moreover, essentially all classical optical microscopes have a fundamental space-bandwidth-product limit of optical imaging, in which high resolution imaging compromises the FOV, and thus throughput [26]. These factors generally explain the relatively lower throughput, 1,000's cells/sec, compared to the spinning-disc time-stretch imaging system.…”

Section: Resultsmentioning

confidence: 99%

Time-stretch microscopy on a DVD for high-throughput imaging cell-based assay

Tang¹,

Yeung²,

Chan³

et al. 2017

Biomed. Opt. Express

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Cell-based assay based on time-stretch imaging is recognized to be well-suited for high-throughput phenotypic screening. However, this ultrafast imaging technique has primarily been limited to suspension-cell assay, leaving a wide range of solid-substrate assay formats uncharted. Moreover, time-stretch imaging is generally restricted to intrinsic biophysical phenotyping, but lacks the biomolecular signatures of the cells. To address these challenges, we develop a spinning time-stretch imaging assay platform based on the functionalized digital versatile disc (DVD). We demonstrate that adherent cell culture and biochemically-specific cell-capture can now be assayed with time-stretch microscopy, thanks to the high-speed DVD spinning motion that naturally enables on-the-fly cellular imaging at an ultrafast line-scan rate of >10MHz. As scanning the whole DVD at such a high speed enables ultra-large field-of-view imaging, it could be favorable for scaling both the assay throughput and content as demanded in many applications, e.g. drug discovery, and rare cancer cell screening. Balakrishnan, C.-Y. Wang, P. Yaswen, A. Goga, and Z. Werb, "Single-cell analysis reveals a stem-cell program in human metastatic breast cancer cells," Nature 526(7571), 131-135 (2015).

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Section: Resultsmentioning

confidence: 99%

Time-stretch microscopy on a DVD for high-throughput imaging cell-based assay

Tang¹,

Yeung²,

Chan³

et al. 2017

Biomed. Opt. Express

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show abstract

“…While this is never exactly true in reality (a …nite spatial extent requires an in…nite frequency extent and vice versa), the space-bandwidth region can be arbitrarily set as some fraction of the signal's total energy or to contain some components of particular interest to the problem [226]. In keeping with tradition, the object's signi…cant space-bandwidth is denoted in Figure 3-10 as a rectangular region with a dot used as an orientation guide for the eye.…”

Section: Insights To Space-bandwidth Limitsmentioning

confidence: 99%

“…The …rst term, x o o ; is the one-quarter the space-bandwidth product (SBP) of the object, while x d d is one-quarter the space-bandwidth product of the detector [226]. (The factor of four is used since both x and are half-widths.)…”

Section: Insights To Space-bandwidth Limitsmentioning

confidence: 99%

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Computational imaging and automated identification for aqueous environments

Loomis¹

2011

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Sampling the vast volumes of the ocean requires tools capable of observing from a distance while retaining detail necessary for biology and ecology, ideal for optical methods. Algorithms that work with existing SeaBED AUV imagery are developed, including habitat classi…cation with bag-of-words models and multi-stage boosting for rock…sh detection. Methods for extracting images of …sh from videos of longline operations are demonstrated.A prototype digital holographic imaging device is designed and tested for quantitative in situ microscale imaging. Theory to support the device is developed, including particle noise and the e¤ects of motion. A Wigner-domain model provides optimal settings and optical limits for spherical and planar holographic references.Algorithms to extract the information from real-world digital holograms are created. Focus metrics are discussed, including a novel focus detector using local Zernike moments. Two methods for estimating lateral positions of objects in holograms without reconstruction are presented by extending a summation kernel to spherical references and using a local frequency signature from a Riesz transform. A new metric for quickly estimating object depths without reconstruction is proposed and tested. An example application, quantifying oil droplet size distributions in an underwater plume, demonstrates the e¢ cacy of the prototype and algorithms. Course work at MIT and WHOI was helpful throughout this thesis. In particular, course materials and projects from Dr. Antonio Torralba (computer vision, detection, and boosting), Dr. Frédo Durand (computational imaging, segmentation, and probability), Dr. Rosalind Picard (machine learning, pattern recognition, and probability), Dr. Alan 4 Edelman (parallel computing and algorithms), and Dr. Barbastathis (optical systems) are re ‡ected directly, in several cases extended after the course to become complete sections of this thesis.The MIT Museum has provided unique outreach opportunities for the ideas presented in this thesis. Seth Riskin originally involved our lab in holography activities at the MIT Museum, then Kurt Hasselbalch later proposed and guided the development of an interactive display on plankton holography. The computational approaches I learned for the museum display led to further scienti…c development and spurred the use of GPUs for processing; Section 3.3.5 is a direct consequence, as is the majority of the data processing performed throughout this thesis.In reference to data processing, Matlab/MEX and NVIDIA's CUDA have been daily cornerstones for which I am continually thankful. Finally, mad props go to Dr. José "Pepe" Domínguez-Caballero, the most in ‡uential 5 person in my scienti…c development while at MIT. Pepe taught me digital holography and worked one-on-one with me throughout the beginning of my grad student career. He continued to be involved as a fellow holographer, a mentor, and a friend, discussing ideas, encouraging active experimentation, maintaining a curiosity about optics, and o¤ering eno...

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“…(c) What is the maximum number of spatial degrees of freedom that can be supported by a given apertured system? The space-frequency support (phase-space support) of a set of signals may be defined as the region in the space-frequency plane (phase space) in which a large percentage of the total energy is confined [1,2]. The number of degrees of freedom is given by the area of the space-frequency support.…”

Section: Introductionmentioning

confidence: 99%

Phase-space window and degrees of freedom of optical systems with multiple apertures

Özaktaş

Oktem

2013

J. Opt. Soc. Am. A

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We show how to explicitly determine the space-frequency window (phase-space window) for optical systems consisting of an arbitrary sequence of lenses and apertures separated by arbitrary lengths of free space. If the space-frequency support of a signal lies completely within this window, the signal passes without information loss. When it does not, the parts that lie within the window pass and the parts that lie outside of the window are blocked, a result that is valid to a good degree of approximation for many systems of practical interest. Also, the maximum number of degrees of freedom that can pass through the system is given by the area of its spacefrequency window. These intuitive results provide insight and guidance into the behavior and design of systems involving multiple apertures and can help minimize information loss.

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Space–bandwidth product of optical signals and systems

Cited by 354 publications

References 3 publications

Time-stretch microscopy on a DVD for high-throughput imaging cell-based assay

Time-stretch microscopy on a DVD for high-throughput imaging cell-based assay

Computational imaging and automated identification for aqueous environments

Phase-space window and degrees of freedom of optical systems with multiple apertures

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