Fast Spectrophotometry With Compressive Sensing
Fast spectrophotometry withcompressive sensingFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyDavid J. StarlingJoseph RanalliGregory HowlandIan StorerPenn State University - Hazleton CampusMarch 6, 2015
IntroductionFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingWhat are the experimental advantages of compressivesensing for spectroscopy?Absorption SpectroscopyEmission Spectroscopy
IntroductionFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingWhat are the experimental advantages of compressivesensing for spectroscopy?IStandard SpectroscopyICompressive SensingIAbsorption SpectroscopyIEmission SpectroscopyAbsorption SpectroscopyEmission Spectroscopy
SpectroscopyA good spectrograph balances the need for high photometricprecision, high spectral resolution, high speed and low cost.Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Fast spectrophotometrywith compressive sensingSpectroscopyA good spectrograph balances the need for high photometricprecision, high spectral resolution, high speed and low cost.SpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyThe Czerny-Turner spectrograph is the standard design formany applications.(image source: bwtek.com)
Fast spectrophotometrywith compressive sensingSpectroscopySpectroscopyCompressive SensingThe CCD can be replaced with a scanning slit:Absorption SpectroscopyEmission Spectroscopy(image source: zeiss.com)
Fast spectrophotometrywith compressive sensingSpectroscopySpectroscopyCompressive SensingThe CCD can be replaced with a scanning slit:Absorption SpectroscopyEmission Spectroscopy(image source: zeiss.com)But this adds to acquisition time.
SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingCan we get the benefits of a CCDat the cost of a scanning slit?Absorption SpectroscopyEmission Spectroscopy
SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingCan we get the benefits of a CCDat the cost of a scanning slit?Absorption SpectroscopyEmission Spectroscopy
SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingCan we get the benefits of a CCDat the cost of a scanning slit?The use of compressive sensing makes this possible.Absorption SpectroscopyEmission Spectroscopy
Compressive SensingFast spectrophotometrywith compressive sensingSpectroscopyCompressive sensing is an acquisition method that takesadvantage of the sparsity of the signal.Compressive SensingAbsorption SpectroscopyEmission Spectroscopy
Compressive SensingFast spectrophotometrywith compressive sensingSpectroscopyCompressive sensing is an acquisition method that takesadvantage of the sparsity of the signal.Compressive SensingAbsorption SpectroscopyEmission SpectroscopyConsider a seemingly complex signal:
Compressive SensingFast spectrophotometrywith compressive sensingSpectroscopyCompressive sensing is an acquisition method that takesadvantage of the sparsity of the signal.Compressive SensingAbsorption SpectroscopyEmission SpectroscopyConsider a seemingly complex signal:But, in the fourier domain. (inverted for clarity)
Compressive SensingFast spectrophotometrywith compressive sensingSpectroscopyCompressive sensing utilizes the sparsity of an image u tofind a solutions to a simple linear algebra problem:Compressive SensingAbsorption SpectroscopyEmission Spectroscopy
Fast spectrophotometrywith compressive sensingCompressive SensingSpectroscopyCompressive sensing utilizes the sparsity of an image u tofind a solutions to a simple linear algebra problem:Compressive SensingAbsorption SpectroscopyEmission SpectroscopyminuX u s.t.f(M 1) Au(M N)(N 1)If is a vector of M measurement resultsIA is an incoherent M N measurement matrix(1)
Fast spectrophotometrywith compressive sensingCompressive SensingSpectroscopyCompressive sensing utilizes the sparsity of an image u tofind a solutions to a simple linear algebra problem:Compressive SensingAbsorption SpectroscopyEmission SpectroscopyminXu u s.t.f(M 1) Au(M N)(N 1)If is a vector of M measurement resultsIA is an incoherent M N measurement matrixFor images, minimizing the total variation is better:Xmin Di u s.t. f Auui(1)(2)
Compressive SensingAn incoherent sampling can reproduce theimage u with M N.Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Fast spectrophotometrywith compressive sensingCompressive SensingAn incoherent sampling can reproduce theimage u with M N.SpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyOriginalN 4664ReconstructionM 93312% ErrorReconstructionM 23326.4% Error(this ignores the fluctuations in the image)
Compressive SensingPrevious work combining a DMD/SLM and spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Compressive SensingPrevious work combining a DMD/SLM and spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Compressive SensingPrevious work combining a DMD/SLM and spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Compressive SensingPrevious work combining a DMD/SLM and spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission Spectroscopy
Absorption SpectroscopyWe start with a broadband LED as the light source, and asmall DMD for the random projections.Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyWe tested the absorption of a variety of broadbandinterference filters.
Absorption SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyLED bandwidthMax LED PowerCollected LED PowerTransmission GratingDMD ResolutionSi-Photodiode DetectorTime per measurementTotal integration time400 - 800 nm500 mW121 nW600 lines/mm608 x 684 (10.8 µm)13 mm20.1 s60.8 s
Absorption SpectroscopyNormalizing by LED intensity:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyDashed lines: product specification
Absorption SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingHow do these figures depend on integration time?Absorption SpectroscopyEmission Spectroscopy
Absorption SpectroscopyFast spectrophotometrywith compressive sensingSpectroscopyHow do these figures depend on the number ofmeasurements?Compressive SensingAbsorption SpectroscopyEmission Spectroscopy[Insert Video Here ]
Absorption SpectroscopyHow do these figures depend on the number ofmeasurements?Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyWe only need 17% (100 measurements) at 0.1 s each toreproduce the spectrum.
Emission SpectroscopyUsing a standard low pressure mercury lamp:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyThe dashed line is a linear fit to calibrate wavelength.
Emission SpectroscopyWe can apply these results to Raman spectroscopyFast spectrophotometrywith compressive sensingSpectroscopyCompressive SensingAbsorption SpectroscopyEmission SpectroscopyHydrogen flame: 512 px, reconstructed from 150 images
ConclusionCS spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive Sensing(a) 0.38 nm resolution over 230 nm(b) only 10 s required(c) data on the fly (watch spectrum emerge)(d) very low cost ( 1000)(e) can be used for very dim objects (120 nW)Absorption SpectroscopyEmission Spectroscopy
ConclusionCS spectroscopy:Fast spectrophotometrywith compressive sensingSpectroscopyCompressive Sensing(a) 0.38 nm resolution over 230 nm(b) only 10 s required(c) data on the fly (watch spectrum emerge)(d) very low cost ( 1000)(e) can be used for very dim objects (120 nW)Contact Information:IDavid J. StarlingIemail: starling@psu.eduIwebsite: www.david-starling.comAbsorption SpectroscopyEmission Spectroscopy
Fast spectrophotometry with compressive sensing Spectroscopy Compressive Sensing Absorption Spectroscopy Emission Spectroscopy Absorption Spectroscopy LED bandwidth 400 - 800 nm Max LED Power 500 mW Collected LED Power 121 nW Transmission Grating 600 lines/mm DMD Resolution 608 x 684 (10.8 m) Si-Photodiode Detector 13 mm2 Time per measurement 0.1 s
Proximity Sensor Sensing object Reset distance Sensing distance Hysteresis OFF ON Output Proximity Sensor Sensing object Within range Outside of range ON t 1 t 2 OFF Proximity Sensor Sensing object Sensing area Output (Sensing distance) Standard sensing object 1 2 f 1 Non-metal M M 2M t 1 t 2 t 3 Proximity Sensor Output t 1 t 2 Sensing .
m eslami@sbu.ac.ir, h safavi@sbu.ac.ir 21 May 2017 Compressive Sensing DiSPLaY Group, Shahid Beheshti University, Faculty of Electrical Engineering 1 / 78. Outline 1 Introduction 2 Compressive Sensing Recovery Constraints Spark NSP RIP Mutual Coherence
2.87 GPa ASTM D 4255 Shear modulus G 13 G 23 157.48 MPa ASTM D 732 Sheet compressive strength 71.20 MPa Modified ASTM D 695 Sheet compressive modulus 3.50 GPa Modified ASTM D 695 Core compressive strength 8.73 MPa ASTM C 365 Core compressive modulus 268.9 MPa ASTM C 365 Sheet density 3960 kg/m - Core density 156 kg/m3 - 4 U T T U I 2( / sin )cos ( / )(2 / 1) 2 * h l h l t t l t (1) where, ρ .
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applications using molecular absorption, fluorimetry and resonance light scattering spectrophotometry are presented. Based on the literature data and the experience in the field, challenges and perspectives in the ion-pair spectrophotometry are also considered. KEYWORDS: Ion-pair spectrophotometry, pharmaceuticals, UV-VIS absorption,
PRINCIPLES OF REMOTE SENSING Shefali Aggarwal Photogrammetry and Remote Sensing Division Indian Institute of Remote Sensing, Dehra Dun Abstract : Remote sensing is a technique to observe the earth surface or the atmosphere from out of space using satellites (space borne) or from the air using aircrafts (airborne). Remote sensing uses a part or several parts of the electromagnetic spectrum. It .
TARGET CONSOLIDATION CONTACT GROUP (TCCG) 4 June 2019 - 10:00 to 15:00 held at the premises of the European Central Bank, Sonnemannstraße 20, meeting room MB C2.04, on 2nd floor 1. Introductory Remarks The Chairperson of the Contact Group will welcome the participants and open the meeting introducing the Agenda. Outcome: The Chairperson welcomed the participants and briefly introduced the .
