2024 APMCM Problem A数学建模竞赛.pdfVIP

2024AsiaandPacificMathematicalContestinModeling

ProblemA

ResearchonUnderwaterImageEnhancementinComplexScenarios

Foroceanexploration,clearandhigh-qualityunderwaterimagesarecrucialfordeep-sea

topographysurveyingandseabedresourceinvestigation.However,incomplexunderwater

environments,theimagequalitydeterioratesduetophenomenasuchasabsorptionand

scatteringoflightduringitspropagationinwater,resultinginblurriness,lowcontrast,

colordistortion,etc.Theseconditionsarereferredtoasunderwaterimagedegradation.

Themaincausesofunderwaterimagedegradationincludelightpropagationlossin

water,forwardscatteringandbackwardscatteringeffects,aswellasthescatteringeffect

ofsuspendedparticlesonlight[5].

Thesefactorscollectivelyresultinthelossofdetailsandclarityduringthetransmission

processofunderwaterimages,affectingvisualrecognitionandanalysis.

(a)(b)

(c)(d)

Figure1.Schematicdiagramofunderwaterimagedegradation,(a)showsgreencolorcast,(b)shows

bluecolorcast,(c)showsimagingblur,(d)showsinsufficientlight.

1

TheschematicdiagramoftheunderwaterimagingprocessisshowninFigure2.

AccordingtotheJaffe-McGlameryunderwaterimagingmodel,theunderwaterimage

capturedbythecameracanberepresentedasalinearcombinationofthreecomponents:

directcomponent,forwardscatteringcomponent,andbackwardscatteringcomponent

[1].Amongthem,theforwardscatteringcomponentreferstothelightthatenterstheimaging

systemafterbeingscatteredbysuspendedparticlesinwaterfromtargetsurfacereflectionor

radiation.Thiscomponentwillcauseblurringintheobtainedimage.Thebackwardscattering

componentrefersto