我将如何概括多个相邻的多边形？

Question

当您有一个带有 Geometry 类型字段（或 Geography）的表时，您可以调用 Reduce() 函数来减少形状的顶点数量。 效果非常好。 然而，当多个多边形相邻时（它们共享其边界的一部分），缩减的多边形不一定这样做。

示例

SQL 批处理：

CREATE TABLE #Shapes (
shape geometry,
naam varchar(50)
 )

-- exact:
insert into #Shapes (naam, shape) VALUES ('Area A',Geometry::STGeomFromText('POLYGON ((52.084744368912652 5.1304192959796637, 52.085234231548384 5.1304194002877921, 52.085474282948049 5.1304486630822, 52.0857341082301 5.1304792705923319, 52.086134375073016 5.1306082883384079, 52.086594087770209 5.13079824927263, 52.087194303050637 5.1311187236569822, 52.089074697112665 5.1323992793913931, 52.089834430487826 5.1333390253130347, 52.090353938518092 5.1341692635323852, 52.090254480473 5.1342997345712416, 52.090824429301414 5.13520842681262, 52.09141399711384 5.1360295349486274, 52.091884278226644 5.1365492835175246, 52.092085719574243 5.1367767199408263, 52.092194211203605 5.1368992186617106, 52.092494247804545 5.1372492032188495, 52.092884057915427 5.13754907634854, 52.093083867570385 5.137679290259257, 52.093254011290028 5.1378082139755827, 52.093554640188813 5.1380093733314425, 52.094204571098089 5.1384683684445918, 52.094214495038614 5.1384888619650155, 52.093702809136488 5.1390791568504124, 52.0939114689827 5.1395669728517532, 52.0938675517682 5.1396009074524045, 52.093849835848111 5.1396084928439114, 52.093797143315896 5.1396473892964423, 52.093789743114428 5.1396500989447063, 52.093731224210721 5.13969055645838, 52.093728204024956 5.1396938753314316, 52.093717452138662 5.1397007238119841, 52.09355255169794 5.139717671321705, 52.093311328208074 5.1395945930853486, 52.093306955655407 5.1395602072316251, 52.093115365831181 5.1400826557073742, 52.093052050564438 5.1401469679549336, 52.092979203676805 5.1401289247442037, 52.092756105586886 5.1398569964803755, 52.092737412561 5.1397823067194368, 52.09235419591127 5.1398883965623128, 52.092214386788811 5.1400686172528616, 52.092164272349919 5.1401695687556135, 52.09208471653983 5.1403786691371351, 52.0920239102561 5.1405293103307486, 52.091924546519294 5.1407297900877893, 52.091534494888037 5.1407990844454616, 52.091654436912947 5.1401591910829172, 52.091713753540262 5.1397284107361845, 52.091763769509271 5.1391488309018314, 52.091774359305148 5.1390583129178058, 52.09170373348757 5.1383788494901648, 52.0907391263172 5.1386201300192624, 52.090711282333359 5.1385075189173222, 52.090718721970916 5.1384486802853644, 52.090745792724192 5.1383893731981516, 52.090758387919244 5.1383728119598793, 52.090776969445869 5.1383237342815846, 52.090780415022657 5.1383173598065737, 52.090745287947357 5.1382717578671873, 52.090742629869759 5.1382662602414895, 52.090704807080328 5.1382211977615952, 52.0906867091544 5.1381677808240056, 52.090701617482885 5.1380081428639635, 52.090564404382455 5.138029116065514, 52.09062412660569 5.1386488282587379, 52.090704361908138 5.1396187201607972, 52.09069472597912 5.1397384563460946, 52.090674098813906 5.1398086878471076, 52.090624484543433 5.1397491229489587, 52.090589968811038 5.1397359627815975, 52.090441891923547 5.140045978827402, 52.090305342804641 5.1400443047750741, 52.0902322656475 5.139729289803654, 52.090199632104486 5.1394877941347659, 52.090188750764355 5.1393666968215257, 52.0902532400633 5.1393868076773792, 52.09003754449077 5.1387802169192582, 52.090024582457204 5.1386965749382565, 52.090020758565515 5.1386840578634292, 52.0900124781623 5.1386172670806785, 52.090003480669111 5.1385827830526978, 52.08999918546494 5.1385372205978728, 52.089985796017572 5.1384773049503565, 52.089996868744493 5.1384535257238895, 52.090046249330044 5.138385351980105, 52.090212456043091 5.1382693609882955, 52.090183896290647 5.1379786310671935, 52.090166853580648 5.1378115779987894, 52.0899735938292 5.137785307597369, 52.089885840192437 5.1377143466379493, 52.08985487697646 5.137671007309109, 52.089845903217793 5.1376524229999632, 52.089844238944352 5.1376464897766709, 52.089850628050044 5.1375868958421052, 52.089852778393364 5.137576853302618, 52.089863699774533 5.1374888862706634, 52.089867451693863 5.1373642447870225, 52.089883847394958 5.1373361134901643, 52.089941705111414 5.1372730266302824, 52.090002277167514 5.1372403032146394, 52.090108146462811 5.1372361269295483, 52.09006458793673 5.1368091938053615, 52.089683820260689 5.1369396857917309, 52.089193989204269 5.1364887236994123, 52.088854428613558 5.1373995044268668, 52.088474480202422 5.1383894786704332, 52.088474343996495 5.1383894337341189, 52.088464433038652 5.1383690948872287, 52.088414154422111 5.13834898790222, 52.088394471909851 5.1383694768883288, 52.0883943233639 5.1383694719988853, 52.08832395415709 5.1382487505018526, 52.087933741509914 5.1377592226490378, 52.087544413445592 5.1372594955892383, 52.087484167695806 5.1372292107739481, 52.087364645209163 5.1372284211684018, 52.0869538753575 5.1372190437554366, 52.085683952551335 5.1372596949804574, 52.085304662585258 5.137269108556211, 52.085084051657141 5.1370588609653955, 52.084904317976907 5.137469710316509, 52.084444417446747 5.1384497439414369, 52.084454428168293 5.1385195698547266, 52.084484005579725 5.1385092278942466, 52.084537888644263 5.1385357407853007, 52.084511198022149 5.1389506391238067, 52.084534639492631 5.1391157133039087, 52.084215438459069 5.139372929232195, 52.084103818604156 5.1389697602953825, 52.083964082412422 5.1391396226827055, 52.083963935496286 5.139139630831778, 52.083883681101725 5.1390291205607355, 52.083994359437455 5.1386593720505784, 52.084013982437057 5.1385892418004318, 52.084053878448593 5.1383293403318735, 52.084054407430678 5.1377297231794907, 52.084053982747719 5.1375283871311694, 52.084063940448686 5.1371387927792966, 52.084070490673184 5.13703247718513, 52.084070608951151 5.1370323959272355, 52.084217049471441 5.1370617711960529, 52.0842700656977 5.1370595147110754, 52.084318579515468 5.1370449147663777, 52.084365648221834 5.137017846536426, 52.084410294202549 5.1369791406907863, 52.084451525192954 5.1369308069453, 52.084497402298688 5.1368615722581685, 52.084511263761669 5.1368357082828879, 52.084539652187722 5.1367929205345337, 52.084559679031372 5.1367565956898034, 52.084580525973493 5.1367251129565776, 52.0845936126653 5.1367018828692963, 52.084593039704487 5.1366802926640958, 52.084593520236 5.1366613829106731, 52.084592797560617 5.136602794053033, 52.0845930285151 5.1365417347624449, 52.084591784281656 5.1365062294062227, 52.084592622431977 5.1364672367903337, 52.084591892315075 5.1364289335906506, 52.084595442516729 5.13633631542325, 52.084596794845957 5.1363224481129421, 52.084599652094766 5.13625919749029, 52.084600140111739 5.1362545876124468, 52.084603969780289 5.1361925578721053, 52.084604394622147 5.1361672168131918, 52.084607248043845 5.1361305358165161, 52.084609296828042 5.13606852098146, 52.084609103156254 5.1360535530839115, 52.084611643842678 5.1360064989442122, 52.08461217648793 5.1359452261162533, 52.084612038685009 5.1359415214974433, 52.084614087827504 5.1358594063203782, 52.084640604443848 5.1355516116600484, 52.084642857778817 5.135543460957706, 52.084982043160878 5.1354961035347806, 52.085083917947486 5.1345288194715977, 52.085104202153161 5.1343492493033409, 52.08524441709433 5.1330996853375064, 52.085165794240311 5.1330994283780456, 52.085158604676472 5.1330777355575146, 52.084887840552256 5.1328501671087, 52.084870130718066 5.1327825202649118, 52.084810143569484 5.132734818616882, 52.084766256157309 5.1326845148578286, 52.084753367166229 5.1326649976350005, 52.084720281418413 5.1326657184399664, 52.084673544857651 5.1326567681971937, 52.084627489326522 5.13263783371076, 52.084616634761915 5.1326309095602483, 52.084607382304966 5.1326056816615164, 52.084589018020779 5.1325388213153929, 52.084566780831665 5.1324195361230522, 52.08455663616769 5.1322953840717673, 52.084555578185245 5.1322289216332138, 52.084558193339035 5.1321669477038085, 52.084565328201279 5.1320932512171566, 52.084573237691075 5.1320388016756624, 52.084590001497418 5.1319514436181635, 52.084614846622571 5.1318454830907285, 52.084674907008818 5.1317076328407039, 52.084733415627852 5.1315451303962618, 52.084768428234277 5.1314570531469457, 52.084772500442341 5.131445026723668, 52.084790059469135 5.1313976899708305, 52.084790684864267 5.1313653332182225, 52.084789962507784 5.1313581170979887, 52.084786229995423 5.1313093374080232, 52.084781658835709 5.1312665985897183, 52.084776584757492 5.131205978570506, 52.084776126593319 5.1311985920700378, 52.084773858077824 5.1311737054493278, 52.084770929767942 5.1311195062007151, 52.084764682454988 5.1310441740788519, 52.084762406875207 5.1310067452953634, 52.084759807214141 5.1309909871779382, 52.084745739819482 5.1308908765204251, 52.084737451048568 5.1308199469931424, 52.084731393493712 5.1307550501078367, 52.084726219235463 5.130682019587562, 52.084717591805187 5.130595849588774, 52.084696356672794 5.1304316397290677, 52.084744368912652 5.1304192959796637))', 1) );
insert into #Shapes (naam,  shape) VALUES ('Area B', Geometry::STGeomFromText('POLYGON ((52.089193944586441 5.1364884474314749, 52.089683880347387 5.1369394774090678, 52.090064640389755 5.1368089618626982, 52.090064767515287 5.13680902402848, 52.090108351781964 5.1372362461406738, 52.0900023451254 5.137240494616317, 52.089941830607358 5.1372731845887953, 52.089884013120034 5.1373362265352416, 52.089867649300196 5.13736428650584, 52.089863897534087 5.1374888976570219, 52.089852973818779 5.1375768855214119, 52.089850827719964 5.1375869208953633, 52.08984444080243 5.1376464707614575, 52.089846089016071 5.1376523461555816, 52.089855048116348 5.13767090524721, 52.089885986401136 5.1377142074887443, 52.089973680692943 5.137785122508185, 52.090167043032125 5.1378114717081189, 52.090184094849974 5.1379786091856658, 52.090212659211829 5.138269433286041, 52.090046387117965 5.1383854977954284, 52.089997038751484 5.1384536319841185, 52.089986001565585 5.1384773087642488, 52.0899993844796 5.138537187827751, 52.090003677353721 5.1385827515141784, 52.0900126749184 5.1386172289494425, 52.090020956756526 5.1386840232833055, 52.0900247762911 5.1386965326964855, 52.090037737332914 5.1387801609122805, 52.090253500966355 5.1393869426101446, 52.090253373142332 5.1393870580941439, 52.09018895904866 5.1393668668649326, 52.09019982968524 5.1394877681651483, 52.090232462748588 5.1397292593531256, 52.090305473417473 5.1400441225035083, 52.090441768325739 5.1400458008552627, 52.0905898406636 5.1397357748355716, 52.090624607168138 5.1397489595692605, 52.090674059544682 5.1398083794509937, 52.090694529374325 5.1397384163970843, 52.090704163346672 5.1396187301667995, 52.0906239267189 5.1386488468750029, 52.090564216952771 5.1380289690569043, 52.090701825218275 5.138007998932153, 52.090686907175666 5.1381677433547006, 52.090704979235063 5.1382210930865915, 52.090742795495316 5.13826614478603, 52.090745454392028 5.1382716438933382, 52.090780634433031 5.138317345874384, 52.090777151606311 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5.144788873847574, 52.086584153570342 5.1431184258301306, 52.086113808001116 5.1425490758657, 52.085764196002856 5.142129332292825, 52.085273851326242 5.1414594290601263, 52.084604130359367 5.1405483337584883, 52.08448414108716 5.1403388837352395, 52.084363697096705 5.1399091542698443, 52.084215331124142 5.1393728284165263, 52.084534444796994 5.1391156225659822, 52.084510998101905 5.1389506384730339, 52.084537685041475 5.1385358115798789, 52.084483979582181 5.1385094355204064, 52.084454281721264 5.138519779080525, 52.084444217151031 5.1384497005492449, 52.084904137838336 5.1374696237373572, 52.08508396637626 5.1370586035773158, 52.085304709049147 5.1372689084542849, 52.085683944402767 5.1372594968589222, 52.08695387118496 5.1372188439127058, 52.087364651495307 5.1372282228088277, 52.087484228890389 5.137229019543156, 52.087544555542991 5.1372593543492258, 52.087933897256818 5.1377590987963755, 52.088324117939919 5.1382486345246434, 52.088394418613781 5.138369242607296, 52.088414155179635 5.1383487726561725, 52.0884645585902 5.1383689332287759, 52.0884744236222 5.1383891381781037, 52.088854240353591 5.1373994332191018, 52.089193944586441 5.1364884474314749))', 1) );
insert into #Shapes (naam,  shape) VALUES ('Area C', Geometry::STGeomFromText('POLYGON ((52.081104027922265 5.1258389879949391, 52.081314665614627 5.1259588550310582, 52.082414517994039 5.1266395719721913, 52.082954646321014 5.1270186660112813, 52.083513987367041 5.127549389610067, 52.083794155623764 5.1278395495610312, 52.084174386574887 5.1282589976908639, 52.084274505455781 5.1284189013796713, 52.08453426125925 5.1288288246141747, 52.085124507819643 5.1299386160409242, 52.08521465482071 5.1300693768952019, 52.0853342462746 5.1301182725468744, 52.0854241597699 5.1300988405710086, 52.0854743384989 5.1304488354362547, 52.085234220619661 5.130419600171515, 52.084744388967557 5.1304194940048324, 52.08439406089019 5.1305090384557843, 52.083914360133932 5.1306285039224422, 52.083414051565342 5.1307787221157923, 52.082813916262239 5.13094844610896, 52.082724283281529 5.1306586048111562, 52.082483787322417 5.1300093204481527, 52.08225411306649 5.1293789464909949, 52.082194455789093 5.1292188489812043, 52.082134172902443 5.1291885531973094, 52.082084508962 5.1290896165883169, 52.082023798371665 5.1288696515839547, 52.081883911043406 5.1281993770971894, 52.081856097793207 5.12798699515406, 52.081856237724423 5.1279869175050408, 52.082000762340613 5.1280515332473442, 52.082027135184035 5.1280940270517021, 52.0820355968099 5.1281161647869, 52.08205282002023 5.1281410993754166, 52.08213594150827 5.1278323108932256, 52.0820438895719 5.1277594091965328, 52.081953932996839 5.1277496579568833, 52.081884289887846 5.1271693162703134, 52.081813924670755 5.1270196131258938, 52.081552422139794 5.1268787173321471, 52.08152364961375 5.1267665265884057, 52.081485387952739 5.1266524291002371, 52.081442847483068 5.1265567842247837, 52.081396028901857 5.1264795880384764, 52.081344932177927 5.1264208389159505, 52.081293396464417 5.1263833287749234, 52.081279310281388 5.1263776289997622, 52.081249886541627 5.1263603481929749, 52.081222431567454 5.12633884719625, 52.081221418222412 5.1263384295161813, 52.081197269726545 5.126324187265709, 52.081195053295232 5.1263138890499249, 52.081184833077714 5.1262332251062617, 52.0811841667945 5.1261982778874859, 52.081168951815926 5.1261331316782162, 52.081164751928249 5.1260440781433525, 52.081066497950815 5.1259329431923106, 52.081104027922265 5.1258389879949391))', 1) );
insert into #Shapes (naam,  shape) VALUES ('Area D', Geometry::STGeomFromText('POLYGON ((52.084103860426694 5.1389694481622428, 52.084363892148971 5.1399091025981294, 52.084484331319835 5.1403388143996294, 52.084604299141489 5.1405482272725367, 52.08527401345782 5.1414593127556145, 52.085764355740025 5.1421292096101565, 52.086113962111995 5.1425489480607212, 52.086584335425869 5.1431183374952525, 52.087144145466013 5.1447888108543749, 52.087984736636635 5.1470895681108679, 52.088083857744529 5.1472290623707631, 52.088194406595086 5.14724888795369, 52.088323822820605 5.1472584035787792, 52.088524032849818 5.14715958177112, 52.088594117900357 5.1471285563893616, 52.08866433496587 5.1471486398950219, 52.088713997742161 5.1472490890882909, 52.088784678140655 5.1475289016962051, 52.088534413350153 5.1477695436890123, 52.088604030199349 5.1479895326774567, 52.08846407078854 5.1481186849763318, 52.088304384844378 5.1482683648355305, 52.087993860917578 5.1484991029959017, 52.087834112113342 5.1486196045298129, 52.0874739959836 5.1487791088875383, 52.087183827068657 5.1488594498950988, 52.087034655727216 5.1488792099405627, 52.086844170233235 5.1489094072021544, 52.086553779430687 5.1488890685141087, 52.086283983197063 5.1488190072122961, 52.086004210880986 5.148699401849246, 52.085884556407109 5.148648968199268, 52.085783737245947 5.148579464526847, 52.085444359574467 5.1483186569530517, 52.08505431888625 5.147909271530807, 52.085063869832084 5.14774867403321, 52.085103993769735 5.1475894195027649, 52.085123664481678 5.1475485048696683, 52.084903807879783 5.1472594002206034, 52.084644382136524 5.1469792136778958, 52.08418409107253 5.1464885615278035, 52.0837237383239 5.1459687419701368, 52.083234543621856 5.145409702023275, 52.082664410911732 5.1448292277490495, 52.082063829526305 5.1443087360821664, 52.082091124779964 5.1440836547198483, 52.081992223858833 5.1440890550147742, 52.08196270884946 5.14405638189055, 52.081944186007604 5.1439888756722212, 52.08194406144986 5.1439872064089114, 52.08192484639585 5.1439289392437786, 52.081920254660311 5.1439031759941996, 52.081906982464716 5.1438652367796749, 52.081898384261621 5.143827152704362, 52.081886463514792 5.1437939475605585, 52.081860758494884 5.143810536588699, 52.081833417158236 5.1438379039788957, 52.081759569933638 5.14407270308584, 52.0816137263635 5.1439596123534246, 52.081454453474372 5.1438598307431391, 52.081304313847795 5.14384896773845, 52.080264462672268 5.1430187125121805, 52.079664091113955 5.1425989381968975, 52.079524534521624 5.14249899610877, 52.079534315969795 5.1424492821097374, 52.079674492839317 5.1419992103874552, 52.079703816364884 5.1418385940623406, 52.079714205814525 5.141648898134008, 52.079727753764018 5.1414623958989978, 52.080252137147674 5.1417998058748831, 52.08029427562046 5.1417563394152745, 52.080314928898588 5.1417286938522011, 52.0803562682122 5.1416860464960337, 52.080404439009726 5.1416505186352879, 52.080450373701751 5.1416298456024379, 52.080458209152553 5.1416284950795994, 52.080495744477957 5.141600257018581, 52.080541761592031 5.141581037081778, 52.080577370766676 5.1415776146752092, 52.080586124956035 5.1415745182313319, 52.080565002281219 5.1411468000151217, 52.080635850084946 5.1411388639826328, 52.081214110314008 5.1410789246463136, 52.081586783519015 5.1409964717458934, 52.081614242866635 5.1412574960850179, 52.081570835318416 5.1413511682767421, 52.08156742547277 5.1413547724810877, 52.081523078051127 5.1414396720759816, 52.081520885843375 5.1414458907124478, 52.0815235725604 5.1414493722841144, 52.081564587075263 5.1415304632391781, 52.081586116692051 5.1416122366208583, 52.081591385416651 5.1417623861789625, 52.081744097638875 5.1417384068481624, 52.081754462670077 5.14239915706246, 52.081888611945665 5.1424242914485125, 52.081887235166505 5.1422738104593009, 52.081907565006986 5.1422072551213205, 52.081948822597042 5.1421398329548538, 52.081990273194968 5.1420943139491024, 52.082000561989844 5.1420720012392849, 52.082041298272088 5.1420040489174426, 52.08205503895892 5.1419854623652519, 52.082057312844228 5.1419532595345077, 52.082057383609936 5.141936854692176, 52.082061406905325 5.1418724298121266, 52.082061399472877 5.1418698709458113, 52.082065169426741 5.1418023992023132, 52.08206505025737 5.1417857583146542, 52.082067978335544 5.1417265709023923, 52.082068552136519 5.1417210444026873, 52.08207146529282 5.1416510321596576, 52.082074348499624 5.1415691960222105, 52.082074102712795 5.1415587870869786, 52.082077217031589 5.141500341455882, 52.082077142713729 5.1414836310842942, 52.082064611044075 5.1414689618560345, 52.08204338257201 5.1414488023146987, 52.0820095549712 5.1414023755017455, 52.08195383178483 5.1413428048418419, 52.0819458400365 5.1413370133377612, 52.081897551489291 5.141270585100548, 52.081845151958987 5.1412304241675884, 52.081783577566966 5.1409387167077512, 52.082063805446388 5.1408189585007031, 52.082534100375206 5.1404983382591407, 52.082604082068428 5.1404395992867649, 52.082693810134288 5.1403690781753832, 52.083284175475136 5.1398683352445742, 52.083963928950048 5.1391394941752653, 52.084103860426694 5.1389694481622428))', 1) );

select naam, shape, shape.Reduce(0.001) as reducedShape from #Shapes

drop table #Shapes

这将返回两组多边形。 首先是未约简集：

然后是约简集：

这些形状要简单得多，并且它们的粗略形状确实正确，但我想要的是仍然共享边框部分。 因此，它们必须以某种方式一起减少。

我认为你必须首先将它们分解成多段线（从边到边），然后减少线，然后再次将它们重新组装成多边形。 我不知道如何在 T-SQL 中做到这一点。

有任何想法吗？

编辑： 我已经接受了 alphadaogg 的回答。 目前的两个答案都不完全让我信服，但 alphadogg 确实付出了最大的努力，我真的很感谢任何想法的分享。 所以赏金就归他了。

如果我找到满意的方法，我会在稍后进行自我解答。

后续：我向 SqlServer Geo 团队的项目经理 Isaac Kunen 发送了电子邮件。 他的有用回复如下：

您的问题并不罕见，但是 这不是我们直接的事情 支持：这是一项操作 需要了解拓扑结构 你的数字，而我们没有 像这样的内置东西。 本质上，你不想存储 每个单独的多边形 邻里。 相反，你想要 存储代表部分的曲线 边界，并重用这些边界 对于多个多边形。 当你 概括，你概括共享的 边界和所有相关多边形 受到影响。

你可以自己构建这个——作为 您引用的帖子中的海报 提示——但这可能是真正的努力去做 所以。

我不知道第三方软件 你正在使用，但这是另一个 选项。 如果你不想要一个 成熟的 GIS，您可以使用 类似 Safe 的 FME 的软件包 软件 (http://www.safe.com)。 这 FME不做通用用途 拓扑，但我相信它已经足够了 做你想做的事情的功能 寻找。 看： http://www.safe.com/products/desktop/ under-the-hood.php#3b.

我希望这会有所帮助。

干杯，

-艾萨克

Answer 1

我不确定您如何从形状中获取“共享”LineStrings。 其次，一旦您减少了形状的“子集”，因为您的端点可能会从原始位置移动，并且您将无法在减少后使它们匹配。

简而言之，我要做的基本上是使用布尔运算来处理简化的形状。

首先，执行您所做的操作，即创建一个缩减形状的临时表（称为#ReducedShapes）。

然后，我将创建第二个临时表并查找所有形状之间的重叠区域（使用 STIntersection）。 在此表中，我基本上有列 naam1、naam2 和 intsec，最后一列的类型为 shape。 类似于（未经测试）：

INSERT INTO #IntSecs(naam1, naam2, intsec)
SELECT s1.naam, s2.naam, s1.naam.STIntersection(s2.naam)
FROM #ReducedShapes s1, #ReducedShapes s2 
WHERE s1.naam.STIntersection(s2.naam) IS NOT NULL

这将为您提供形状对重叠位置的列表。 事实上，每个重叠都有两行。 例如，如果 A 和 B 重叠，您将得到 和 。 我会通过并删除每次出现的两个中的一个。

最后，对于每个重叠，我会从 #ReducedShapes 表中仅从该对中的两个区域中的一个减去 (STDifference) 交集。 想象一下你有两个半重叠的正方形 A 和 B。 该操作将涉及 A.STDifference(B)，这意味着您保留所有 B 和 A 的一半。我会将修改后的形状插入到第三个表中（例如 #ModifiedShapes）。

两个问题：
a）正如您从“橙色”和“蓝色”形状中看到的那样，它们并没有类似地减少，因此您将获得两种可能的减少之一，具体取决于您如何处理“获胜者”。
b) 问题的一个更复杂的形式是，根据初始形状的复杂性，您可能会在三个或更多区域之间出现重叠。 您必须根据您的特定需求确定自己的方式来确定哪种形状在该交叉点“获胜”。 目前尚不清楚是否存在限制。 可以像通过订购任意选择获胜者一样简单，也可以更复杂，因为准确性很重要。

不幸的是，上述概念没有解决差距问题。 这个有点复杂，我不 100% 确定如何解决它。 但是，如果您创建第三个表，从 #Shapes 中的所有原始形状中减去（再次STDifference）所有修改的形状#ModifiedShapes（当然，在实际减去之前测试重叠），您将在间隙中留下剩余的形状。 您需要聚合相邻的形状并指定“获胜颜色”，可能会将其与相关形状合并回来。

这个答案很长，我就这样吧。 我可能找错了树。 根据您的反馈/问题，我将添加到帖子中。

Answer 2

哇，这是一组非常酷的功能。

看看其他一些可用的方法，我想到了一些想法：

在未简化的形状上，使用 .STIntersects （返回布尔值）和 .STIntersection （返回形状）来找出两个形状是否存在以及在哪里存在相交。

对于两个相邻的地图区域，我假设 .STIntersection 应返回与两者接壤的线段。

然后，您可以减少这些线段并重新组装减少的形状。

Answer 3

艾萨克是对的，您可以将要素简化为线条，并将它们用作共享边界。

但他提到的软件 - FME - 有一个名为 Generalizer 的转换器，它可以根据您的意愿简化它们，同时仍将它们保留为多边形。 使用的选项称为“保留共享边界”。 您可以从[此处][1]下载 FME 并请求 14 天的评估许可证来试用。

Answer 4

严格来说，这并不是您问题的答案，但如果您的最终目标是在浏览器中渲染地图，那么您应该研究 Mike Bostock 的 TopoJSON 项目。

TopoJSON 与 GeoJSON 一样，是一种 JavaScript 友好的空间文件格式。 与 GeoJSON 不同，TopoJSON 仅包含拓扑，因此共享边界仅表示一次。 这会导致 (a) 数据更加紧凑和 (b) 无缝简化。

这里有一个很好的介绍，包括用于推断拓扑的算法的实时可视化：http://bost。 ocks.org/mike/topology/

项目维基在这里：https://github.com/ mbostock/topojson