concave_poly_vertices_connections.sql

EXPLAIN ANALYZE
WITH poly AS (
    --SELECT ST_GeomFromText('POLYGON((25.390624999999982 23.62298461759423,18.183593749999982 19.371888927008566,7.812499999999982 17.87273879517762,5.878906249999982 24.90497143578641,9.570312499999982 25.223427998254586,12.734374999999982 25.064303191014304,15.195312499999982 30.048744443788348,22.578124999999982 30.352588399664125,24.687499999999982 25.857838723065772,25.390624999999982 23.62298461759423))') AS geom
    --SELECT ST_GeomFromGeoJSON('{"type":"MultiPolygon","coordinates":[[[[8.407297932191138,55.043952286536452],[8.442500114441145,55.015972137451399],[8.353609085083235,54.967361450195654],[8.366944313049544,54.902362823486442],[8.429720878601302,54.877639770507869],[8.812039375305233,54.916736602783203],[9.224779129028263,54.855953216552791],[9.282591819763411,54.802234649658317],[9.408679962158317,54.841171264648494],[9.435277938842773,54.788471221923885],[9.613611221313704,54.875972747802962],[9.603055953979776,54.831527709961051],[9.84305572509794,54.756248474121094],[9.955279350281046,54.780139923095646],[10.034722328186263,54.672359466552848],[9.983054161071891,54.701248168945426],[9.963891689870369,54.673036285963448],[10.034166336059798,54.66986083984375],[10.027500152587891,54.550415039062841],[9.840277671813965,54.467361450195369],[10.199167251587141,54.45597076416027],[10.13194561004633,54.311248779296875],[10.228056907653865,54.413471221923885],[10.318612098693961,54.43569564819353],[10.704722404479924,54.304862976074276],[10.928610801696777,54.381805419922216],[11.128055572509766,54.390693664550838],[11.058609962463436,54.354305267334382],[11.093610763550032,54.197917938232479],[10.754165649414119,54.054862976074332],[10.890831947326603,53.955696105956974],[11.179167747497502,54.015693664550838],[11.258610725403116,53.984859466552962],[11.258610725403116,53.934028625488509],[11.335276603698844,53.958473205566463],[11.45472240447998,53.900417327881144],[11.483610153198242,53.968471527099666],[11.378055572509936,53.997360229492244],[11.492501258850325,54.022914886474723],[11.490279197693042,53.968193054199276],[11.62583255767845,54.089584350585881],[11.525277137756348,54.071804046630859],[11.682498931884766,54.153194427490178],[12.087498664856184,54.183193206787109],[12.124721527099894,54.150138854980526],[12.09527778625494,54.180973052978572],[12.339165687561263,54.2979164123538],[12.519721031188965,54.484306335449276],[12.962499618530387,54.437637329101676],[12.68351455577495,54.406443540681508],[12.715277671814022,54.404304504394474],[12.678054809570312,54.370140075683707],[12.786945343017862,54.396251678466797],[12.810278892517147,54.345138549804801],[13.019721984863338,54.439025878906591],[13.093609809875716,54.366806030273665],[13.105833053588867,54.281806945800895],[13.286388397216797,54.235137939453296],[13.346388816833723,54.180416107178189],[13.318054199219034,54.159862518310661],[13.415834426880224,54.175140380859432],[13.382498741150187,54.142360687255859],[13.456945419311523,54.090694427490234],[13.696389198303223,54.17180633544956],[13.806944847107104,54.103195190429688],[13.74416637420677,54.029304504394645],[13.914167404174805,53.922359466553019],[13.824722290039404,53.866249084472997],[13.937500953674316,53.908473968505973],[13.905834197998161,53.989860534667969],[13.965278625488452,53.99013900756853],[13.959721565246582,53.934028625488509],[14.042499542236555,53.942081451416016],[14.046944618225268,53.996528625488452],[14.003478556850849,54.0366769060455],[14.221389770507926,53.930137634277287],[14.186329841613997,53.915580749512173],[14.2173366546632,53.865417480469205],[13.806388854980412,53.858196258544922],[14.038612365722884,53.75513839721674],[14.283056259155501,53.738750457763842],[14.215276718139592,53.702640533447379],[14.273162841796875,53.699306488037109],[14.324908256530762,53.618648529052962],[14.302708625793684,53.542610168457031],[14.448929786682186,53.261638641357479],[14.378918647766113,53.204158782958984],[14.345703125000057,53.052917480468864],[14.142452239990291,52.961112976074276],[14.121270179748649,52.840270996093693],[14.639061927795638,52.580032348632869],[14.600604057312069,52.533023834228572],[14.631249427795638,52.499130249023665],[14.528908729553166,52.39641189575218],[14.570899963378906,52.289562225341797],[14.699570655822868,52.241088867187557],[14.669348716736067,52.121551513671989],[14.741278648376522,52.073390960693473],[14.704777717590559,51.942661285400618],[14.586701393127385,51.823604583740234],[14.738728523254622,51.666870117187443],[14.698139190673942,51.55850982666027],[14.933858871460018,51.482269287109375],[14.967818260192928,51.354415893554801],[15.028479576110897,51.309799194336051],[14.930111885070744,50.991405487060717],[14.8050794601441,50.828918457031534],[14.710870742797965,50.826759338379134],[14.611928939819393,50.854782104492188],[14.651672363281364,50.932640075683651],[14.560112953186092,50.923484802246151],[14.595055580139274,50.988510131836165],[14.501680374145508,51.051506042480753],[14.39741039276123,51.008281707763729],[14.29401683807373,51.054164886474609],[14.246868133545036,50.973201751709041],[14.400946617126465,50.942348480224723],[14.372268676757926,50.888580322265682],[13.954609870910872,50.803710937500057],[13.850809097290096,50.71820068359375],[13.548975944519043,50.713214874267635],[13.465190887451229,50.596488952636889],[13.374910354614315,50.643661499023665],[13.326787948608512,50.581813812255916],[13.248618125915641,50.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AS geom
    SELECT ST_GeomFromGeoJSON('{"type":"Polygon","coordinates":[[[-75.7853058,37.100285],[-75.7933981,37.0977923],[-75.778979,37.0989206],[-75.7745669,37.1015176],[-75.7708913,37.100878],[-75.762288,37.1042249],[-75.7574884,37.1074231],[-75.7479581,37.1085103],[-75.74726,37.1069639],[-75.7539454,37.1037659],[-75.7611099,37.1034466],[-75.7732096,37.0907116],[-75.7633729,37.0900264],[-75.7526225,37.0979357],[-75.7468689,37.0996632],[-75.7432855,37.0996632],[-75.7418007,37.0950803],[-75.7464835,37.0935813],[-75.7467054,37.0904169],[-75.7442782,37.0883002],[-75.7460271,37.0859802],[-75.7543843,37.085202],[-75.8103978,37.0602831],[-75.7940852,37.0646065],[-75.7899274,37.063392],[-75.773914,37.0695038],[-75.7724029,37.068693],[-75.7720521,37.062476],[-75.7582902,37.066563],[-75.7656973,37.059935],[-75.7788951,37.0517704],[-75.7810167,37.0485099],[-75.8020065,37.0398153],[-75.8041698,37.0345251],[-75.8087052,37.0308981],[-75.8258654,37.0199772],[-75.8301774,37.0191132],[-75.8396684,37.0106767],[-75.8461874,37.0078554],[-75.8504161,37.0048351],[-75.8519729,37.0016208],[-75.8555555,37.0001816],[-75.8565325,36.9910534],[-75.8548529,36.9828949],[-75.8561764,36.9806472],[-75.8511588,36.9832256],[-75.8462566,36.9820853],[-75.8480742,36.9762656],[-75.8434172,36.97919],[-75.8439372,36.9754455],[-75.8410684,36.9774073],[-75.8390902,36.9823935],[-75.8350005,36.9836123],[-75.8384719,36.9755656],[-75.8358419,36.9734058],[-75.8363012,36.9688343],[-75.8326966,36.9672787],[-75.8278789,36.9700806],[-75.8199613,36.9686811],[-75.8186371,36.9654177],[-75.8100152,36.969541],[-75.8083115,36.9680495],[-75.8171063,36.9650063],[-75.8170918,36.9629375],[-75.8205776,36.9641904],[-75.8391171,36.9595131],[-75.8414322,36.9566031],[-75.8456013,36.9578356],[-75.8662644,36.95266],[-75.8789216,36.9446035],[-75.8799495,36.942205],[-75.8769228,36.9329537],[-75.8738961,36.9302125],[-75.8649644,36.9313031],[-75.8350278,36.9396863],[-75.8350027,36.9360318],[-75.8304424,36.9354162],[-75.8294518,36.9330183],[-75.8329613,36.9292894],[-75.8471951,36.9230177],[-75.8478936,36.9190667],[-75.844593,36.9150905],[-75.8470145,36.9111213],[-75.8461361,36.9064981],[-75.8492445,36.8968408],[-75.8487528,36.8913881],[-75.853971,36.8867345],[-75.8623398,36.8860156],[-75.8729749,36.8914335],[-75.8862679,36.9057016],[-75.8981164,36.9273294],[-75.8984176,36.9302309],[-75.8940648,36.9319734],[-75.901487,36.9353217],[-75.9051917,36.9391184],[-75.9205786,36.9456195],[-75.962293,36.955614],[-75.9796737,36.9620528],[-75.992318,36.9722145],[-75.9918511,36.9834031],[-75.9965455,36.9901421],[-76.0189221,37.0020289],[-76.0230063,37.0024568],[-76.0401701,37.0149747],[-76.0642208,37.0443197],[-76.0658956,37.0435766],[-76.0668241,37.0434666],[-76.0587144,37.0485301],[-76.0595707,37.0456533],[-76.053229,37.0463916],[-76.0531158,37.050976],[-76.0484535,37.0540018],[-76.0331836,37.0522185],[-76.0306825,37.0534618],[-76.0311848,37.0563034],[-76.0386166,37.0615275],[-76.0394052,37.0637083],[-76.0489897,37.0688645],[-76.0670847,37.0880308],[-76.0661787,37.0829637],[-76.0596589,37.07075],[-76.0486892,37.0577655],[-76.053614,37.0528777],[-76.0611371,37.0520907],[-76.0628105,37.0481349],[-76.0597756,37.0488787],[-76.05927,37.0489219],[-76.0591158,37.0484735],[-76.0642941,37.0457661],[-76.0666335,37.0476268],[-76.0980396,37.0894379],[-76.1192753,37.126326],[-76.1213695,37.1281072],[-76.1280136,37.1274523],[-76.1411971,37.1435368],[-76.1496799,37.162868],[-76.1514129,37.1778787],[-76.1501404,37.1936257],[-76.1302265,37.240056],[-76.1260832,37.2216552],[-76.1232557,37.2201567],[-76.122656,37.2167278],[-76.1163983,37.2138428],[-76.1145505,37.2098865],[-76.1028395,37.2040786],[-76.1019332,37.2059561],[-76.0966614,37.2054732],[-76.09429,37.2021209],[-76.0744662,37.2047575],[-76.0596652,37.2108454],[-76.0433244,37.1902879],[-76.0371777,37.1848468],[-76.026955,37.17964],[-76.0007503,37.1701729],[-75.9932946,37.1623232],[-76.0022832,37.1735953],[-76.025912,37.1921549],[-76.034216,37.2013034],[-76.049906,37.2275443],[-76.0675457,37.2509581],[-76.0712615,37.2585394],[-76.0762824,37.2618853],[-76.0753415,37.263895],[-76.0832562,37.2773786],[-76.0832091,37.2838105],[-76.0846549,37.2865346],[-76.0811851,37.2851967],[-76.0728669,37.2866528],[-76.0677159,37.2934116],[-76.0641238,37.3036689],[-76.0658666,37.3077468],[-76.0586714,37.3150113],[-76.0549337,37.3227941],[-76.0528659,37.3334669],[-76.0422973,37.3571339],[-76.0408852,37.3592273],[-76.0392993,37.3588829],[-76.0494477,37.3361095],[-76.0490402,37.3329051],[-76.0526875,37.3217054],[-76.0392284,37.3507642],[-76.030039,37.365696],[-76.025597,37.377401],[-76.024333,37.385052],[-76.021085,37.391644],[-76.020008,37.4063239],[-76.0227777,37.4276539],[-76.0317143,37.4616904],[-76.0299264,37.5049942],[-76.0284101,37.5064919],[-76.0233867,37.5032988],[-76.020482,37.5098275],[-76.0165734,37.5072095],[-76.0127454,37.5194259],[-76.0094107,37.521031],[-76.0058188,37.5202161],[-76.0072583,37.5120839],[-76.0044272,37.5100984],[-76.002732,37.5200662],[-76.0007727,37.5232658],[-7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AS geom
),
points AS (
    SELECT (g.gdump).path AS id, 
        (g.gdump).geom AS geom
    FROM (
        SELECT ST_DumpPoints(geom) AS gdump 
        FROM poly 
    ) AS g
)
SELECT 
ST_MakeLine(a.geom, b.geom) AS geom
FROM points a
CROSS JOIN points b
JOIN poly
ON ST_Contains(poly.geom, ST_MakeLine(a.geom, b.geom))
WHERE a.id < b.id;