High-resolution Imaging in Heterogeneous Media
Abstract
This project aims to introduce and develop a new high-resolution imaging approach in Hetero-geneous Media. In the past, Iworkedonimagerecoveryusingonlythestatisticalproperties of themedia sheterogeneities.Such recoveryispossible, butonecannotobtainhigh-resolution images. Theproposedworkisaimedatdeveloping methodstolearntheexactrealizationof media s heterogeneitiesbycapitalizingon thediversityofilluminations, measurements,andpositions ofobjects.The noveltyoftheproposedworkliesinatleast twounique aspects-1. I plantodemonstrate howmedia sheterogeneities canhelptoproduce higherresolution images comparedtothe homogeneousmedia. Theapproachisbased onthesuper-resolution of the time-reversalmethod.Time-reversal isatechnique (developed,notably,byMathias Fink and histeam (25,26,36,49))thatfocuses wavesontoasource orscatterersby emitting a time-reversed versionofthe receivedwaveeld measuredby anarrayoftransducers. When the mediumisin homogeneousergodicor random,therefocusing resolutionmay begreatly improved.Thisis calledsuper-resolution.The time-reversalmethod wassuccessfully usedin non-destructive testing,communications,andother applications.Itwasnot,tothe bestofmy knowledge,usedto formhigh-resolution images.Theproposed workexplains howitcouldbe done. 2. I lantodemonstrate howthediversity ofmeasurements canhelptoproducehigh- resolution images withnoorlittle informationaboutthe mediaitself.The approachisbased on DictionaryLearning. DictionaryLearningisthe ComputerScienceApproach toinverse problems, itistheprocessof calculatingfrom asetofmeasurementsasparse representationof these measurements intheformofalinear combinationofbasic elements.DictionaryLearning wassuccessfully usedinimageandvideocompression.Itwas not,tothebestofmy knowledge,used toformhigh-resolution images.Theproposed workexplains howitcould bedone.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Mar 06, 2024
- Source ID
- FA95502310523
Entities
People
- Alexei Novikov
Organizations
- Air Force Office of Scientific Research
- Pennsylvania State University
- United States Air Force