離散曲面四邊形剖分的組合優(yōu)化及實現(xiàn).pdf

1、大連理工大學(xué)碩士學(xué)位論文離散曲面四邊形剖分的組合優(yōu)化及實現(xiàn)姓名：郭東亮申請學(xué)位級別：碩士專業(yè)：計算數(shù)學(xué)指導(dǎo)教師：錢曉元20090623離散曲面四邊形剖分的組合優(yōu)化及實現(xiàn)TheResearchandRealizationoftheCombinationOptimizationforQuadrilateralMeshonDiscreteSurfacesAbstractAsaresultoftherapiddevelopmentoftheco

2、mputerscience，therelatedtechnologiesaboutthemeshbecomemoreandmorewidelyusedtesolvepracticalquestions，SOthemeshgenerationtechnologiesrumintoahottopicgraduallyAtthebeginningpeopleusedtopaytheirmuchattentionatthetriangulati

3、onofthesurface，butithasbeenprovedthattriangulationhassomeintrinsicdisadvantagesthatcannotbeconqueredOnthecontraryquadrilateralmeshcannotonlyreducetheamountofdatabutitismorepreferredatthesurfacePDEproblems，especiallyfluid

4、dynamics，SOtherequirementofhigh—qualityquadrilateralmeshbecomesurgentButusuallythequadrilateralmeshesgeneratedbytraditionalmethodarenotqualifiedfortheirpurpose，SOtheyneedtobeoptimizedAtthebeginningofthispaperwegiveabrief

5、descriptionabouttheevaluationcriteriaaboutthequalityofthemeshthenwegiveaconciseintroductionabouttheclassicalmeshgenerationtechnology，subsequentlywegiveaquitethoroughstatementabouttheRemeshingmethodaccordingtotheirpurpose

6、，andatlastintroducedanewoptimizingalgorithmbythispaper111ealgorithmaimstoendowthevertexanenergythatcreatedbytheadjacentquadrilaterals，andthenconverselymovethevertextoamoreappropriateplacebytheobtainedenergy111elaststepof