NURBS曲線曲面的小波分解與重構(gòu).pdf

1、哈爾濱理工大學(xué)碩士學(xué)位論文NURBS曲線曲面的小波分解與重構(gòu)姓名：高曉爽申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：劉潤(rùn)濤20090301哈爾濱理下大學(xué)理學(xué)碩十學(xué)位論文WavletAnalysisandReconstructionofNURBSCurvesandSurtacesJ1一f、一AbstractThemodelingtechnologyofnonuniformrationalB—spline(NURBS)curvesandsur

2、facesandthewavelettechnologyarenewtechnologiesdevelopedinthel980’SThewaveletmethodhasmanyadvantageswhichtheothermethodscannotbecomparedwithUsingwaveletmethodtomodelB—splinecurvesandsurfaces，wehavegotmanygoodresultsSother

3、esearchofmodelingtechnologyofcurvesandsurfacesbasedonwaveletmethodisveryimportantThedissertationresearchesmainlythealgorithmsofwaveletdecompositionandreconstructionofpreuniformanduniformBsplinecurvesandsurfacesandnewalgo

4、rithmofdecompositionandreconstructionofNURBScurvesThecontentiSasfollows：ThealgorithmofwaveletdecompositionandreconstructionofpreuniformBsplinecurvesandsurfacesisstudiedTheideaofwaveletanalysisofpreuniformBsplinecurvesand

5、surfacesisgiven，andthealgorithmofwaveletcompositionandreconstructionofpreuniformBsplinecurvesandsurfacesistriedtoextendtoB—splinecurvesandsurfacesThecomplementaryresearchismadeonthisalgorithmBasedonthealgorithmofwaveletc

6、ompositionandreconstructionre—uniformB—splinecurvesandsurfaces，researchonthealgorithmofwaveletdecompositionandreconstructionofuniformBsplineismadeActually，thedifferencebetweenthewaveletanalysisandreconstructionofuniformB

7、splineandreunifornlBsplinecurvesandsurfacesisthatthewaveletafterdecompositionoftheuniformB—splinecurvesandsurfacescanbeexpressedconsistentlyinthedomainandontheboundaryThemodelingtechnologyofthemultiresolutioneditingofNUB