三角形參數(shù)域上的超限插值.pdf

1、學(xué)校代碼：!旦2鯉分類(lèi)號(hào)：塑@’r】[889713研究生學(xué)號(hào)；!!鯉2Q2麴密級(jí)；五蓀扯吁綬《碩士學(xué)位論文三角形參數(shù)域上的超限括值TheParametricBI朋diIlgInterpolationonTHangles作者：劃暢指導(dǎo)教師：學(xué)科專業(yè)：研究方向：學(xué)位類(lèi)型：盛中平教授應(yīng)甩數(shù)學(xué)計(jì)算數(shù)學(xué)學(xué)歷碩士東北師范大學(xué)學(xué)位評(píng)定委員會(huì)2006年5月AbstractThepurposeofthispaperlstodosubstantivesum

2、m盯yaboutthem撕nachievementsinrecent”ars，andthecreativeresearchabouttheparametricblendinginterpolationontrianglesAtirst，mainlyintroducedthearticleselectedtopicbackgrouⅡdandtheproduc—tion，thedevelopmentandtheapplicationofth

3、istheoryWbhasmadetherationalizationarrangementtothearticlestructureatthe8ametimeSecondly1、耽discussthegeneraltheory曲outtheparametricblendinginterp01ationonthetrian91esWemakeconcretean酊ysi8withregardto8ide—sidemethodnomthe

4、eosituation，thebooleansumoperatorwasconstructedItwasextendedtoeⅣ一1shuationthroughHermiteinterp01ationprimaqfunctionInthisprocess，thecompatibilityconditionwa8proposedNamelyisthemixpartialderivativeofthefunctiontobepossi—b

5、letoeXchangeinthevertexAtthesametimethemethodofremovedthecompatibleconditionswasproducedThenthesidevertexmethodisintroducedSimilarlyfirstintroducedtheGosituationandthroughHermiteinterpolationprimaryfhnctionbasedonBrownan

6、dintheLittles姐lsituation，G1interpolationoperatorisco瑚tructed，andin0rdertoavoidingtheverteXcompatibility，theinterpolationoper8torisconstructedAtthesametimedraws8upporttheGregoryweightfunction，alsostructureG1interp01ation0

7、peratOrThirdlylweintroducetheapplicationOfthegeneraltheoryabouttheparametricblendinginterpolationontrianglesTheyarepolynomidblendinginterpolation，t11etrianglewhichonesideiscurve，thegeometryblendinginterpolation，andtheint

8、eriorblendinginterpolationThen，wetaketwogrouppointsdi踮rentfromwiththetraditionmethodAlsotherefbreobtainedthespecialtheblendinginterpolationopera土orTheirtensorproductandB001eansumatthecert越nsideonhastheinterpolationnature

9、inthetriangleAllthetraditionaltheoryisbasedoncurvedsurfacefUnctionde矗nedonthetrian91esFinallnWeextendBBGtopractic“Namelyincurvedsurfacefunctionunknown，merelyintheknowntrian日eboundarycurvefIlnctiona8wellasiⅡtheboundarygui

10、decurvefunctionsituationWeproducethenewtheblendinginterpolationsurfaceAtthesametime，weproposetheinformationcompatibilityconditionoftheblendinginterp01ationKeywords：triangles，blendinginterpolate，booleansum，compatibilityco