Rehaibi ,SoniaKIMOUCHE, Karima2025-11-252025-11-252025http://dspace.univ-skikda.dz:4000/handle/123456789/5507Thisgraduationnotefocusesonthetwo-dimensionalcontinuouswavelettransform (2DCWT)byusingtwodi¤erentscaleparameters (a1; a2), weareabletostretchor compressthewaveletindependentlyalongthehorizontalandverticaldirections.This anisotropicscalingo¤ersmore exibilitythanisotropicscaling,whichusesasingle scalefactor.Infact,itisanaturalgeneralizationoftheideaofwavelettransform. Thisideamakesthe2Dwavelettransformverynaturalinthestudy.So,mathematical andappliedresultshavedemonstratedthepowerofthewavelettransforminhandling convolutionoperations,strengtheningitsroleasane¤ectivetoolforaccurateanalysis inmultiple elds.enTwo-dimensional wavelets transform: Basic properties and applicationsAN-EDPThesis