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《geographical and geological analysis of map projection deformation（地理地质-浅析地图投影变形的表现）》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、Geographicalandgeologicalanalysisofmapprojectiondeformation（地理地质-浅析地图投影变形的表现）Keywords:mapprojection,projection,deformationAbstract:thedistortionofmapprojectionisthelengthofthedeformationangle,deformationanddeformationofthearea,andintheexpression,wecanfromth
2、econformalprojection,nonconformalprojection,nonhierarchicalanalysis.Abstract:Projectiondeformationisshownforlengthdeformation,angulardistortionexpressislistedinwithcoveringanareaofdeformation,butwe,canfromrectifyingshapeprojection,equivalenceprojection,beno
3、tthattheshapemustanalysecominggradeprojectionexactly.KeyWords:Projection;ProjectiondeformationIntroductionThesphericalearthplanefortheexhibition,therewillbepointsontheeartharedrawnintheplanewithgeographicalcoordinates,Cartesiancoordinatesandpolarcoordinates
4、,wemustusesomemathematicalmethodstodeterminetherelationshipbetweenthesecoordinates.Themathematicalmethodofestablishingtherelationbetweenpointandpointbetweensphereandplaneiscalledprojectionofamap.Thesurfaceofasphereisprojectedintoaplanebymeansofmapprojection
5、,althoughitcanpreservetheintegrityandcontinuityofthegraph,buttheyarenotexactlysimilartotheshapeofthewarpandweftmeshonthesphere.Basedonthechangesinprojectionprocess,thispapermakesacomprehensivestudyandresearch.1.theconceptofmapprojectionThesurfaceoftheearthi
6、sspherical,andthemapisusuallydrawnonplanedrawings,soitisfirstnecessarytoextendthesurfaceofthespheretotheplane.Butthesphereisanoutofthewaysphere,whichmeansthatifitisdirectlyextendedtoaplane,itmustbreakorfold.Therefore,thesphericalsurfacemustbeexpandedinaspec
7、ialwaytomakeitaplanethatisneithercrackednorwrinkled.Whenwestudythemeasurement,wehavealreadyknownthatwhenthemapismeasured,aslongasthepointsaremeasured,thepointscanbeconnectedintolines,andthelinescanbeconnectedtoeachother,sothataplancanbedrawn.Then,extendthes
8、pheretoaplane,thatis,thepointsontheeartharepaintedontheplaneonebyone.Thepositionofapointontheearth'ssurfaceisrepresentedbygeographicalcoordinates,andthepositionsontheplanearerepresentedinCartesiancoord
