>>> from env_helper import info; info()

页面更新时间： 2024-07-23 22:05:44
运行环境：
    Linux发行版本: Debian GNU/Linux 12 (bookworm)
    操作系统内核: Linux-6.1.0-23-amd64-x86_64-with-glibc2.36
    Python版本: 3.11.2

8.6. 熟悉Geometry¶

在开始之前，先运行：

>>> import sqlite3 as sqlite
>>> conn = sqlite.connect("spalite.db")
>>> conn.enable_load_extension(True)
>>> conn.execute('SELECT load_extension("mod_spatialite.so.7")')

<sqlite3.Cursor at 0x7f6c12dca940>

>>> cursor = conn.cursor()

现在执行第一个查询。

>>> sql = 'SELECT name , AsText(Geometry) from prov_capital limit 5'
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c12dcbd40>

>>> for x in cursor:
>>>     print(x)

('乌鲁木齐', 'POINT(87.576106 43.781766)')
('拉萨', 'POINT(91.163128 29.710353)')
('西宁', 'POINT(101.797123 36.593385)')
('兰州', 'POINT(103.584065 36.118845)')
('成都', 'POINT(104.035277 30.714088)')

AsText() 是SpatiaLite 函数，它返回 Geometry 字段的 WKT 值。在前面，我们使用 HEX() 函数返回无法查阅的二进制数据。现在， AsText() 函数返回有用，且是易于理解的字符串。

点是最简单的 Geometry 类，且它只由一对 [X, Y] 坐标构成。

下面我们使用不同的方式来执行前面的查询。

>>> sql = 'SELECT name , X(Geometry), Y(Geometry) FROM prov_capital limit 5;'
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c12dcbd40>

>>> for x in cursor:
>>>     print(x)

('乌鲁木齐', 87.57610577000008, 43.78176563200003)
('拉萨', 91.16312837700008, 29.710352750000027)
('西宁', 101.79712276100008, 36.59338523400004)
('兰州', 103.58406526900006, 36.11884538500004)
('成都', 104.03527735800009, 30.714088160000074)

SpatiaLite的 X() 函数，返回点的 X 坐标。 Y() 函数返回点的 Y 坐标。

使用下面的 Geometry格式转换函数：

>>> sql = "SELECT HEX(GeomFromText('POINT(10 20) '));"
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c12dcbd40>

>>> for rec in cursor:
>>>     print(rec)

('00010000000000000000000024400000000000003440000000000000244000000000000034407C0100000000000000000024400000000000003440FE',)

>>> sql = "SELECT HEX(AsBinary(GeomFromText('POINT(10 20) ')));"
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c12dcbd40>

>>> for rec in cursor:
>>>     print(rec)

('010100000000000000000024400000000000003440',)

>>> sql = "SELECT AsText(GeomFromWKB(X'010100000000000000000024400000000000003440'));"
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c12dcbd40>

>>> for rec in cursor:
>>>     print(rec)

('POINT(10 20)',)

SpatiaLite的函数 GeomFromText() 返回使用内部 BLOB 方式表示的几何图形；
函数 AsBinary() 返回WKB（Well Known Binary）表示的几何图形；
函数 GeomFromWKB() 将WKB的值，转换成对应的内部BLOB的值。

WKB是实现了OpenGIS规范的一种表示方法

8.6.1. GEOMETRY 类¶

开始之前，先运行：

>>> import sqlite3 as sqlite
>>> conn = sqlite.connect("spalite.db")
>>> conn.enable_load_extension(True)
>>> conn.execute('SELECT load_extension("mod_spatialite.so.7")')

<sqlite3.Cursor at 0x7f6c12dcb0c0>

>>> cursor = conn.cursor()

这一部分主要是探讨 OpenGIS 中的定义，SpatiaLite支持的不同 Geometry 类。简单来讲，任何的 Geometry 类都是一种几何类型。

8.6.2. LINESTRING类型¶

了解了POINT 类，下面我们来熟悉一下 LINESTRING 类型的简单的查询。

>>> sql = "SELECT ogc_fid, AsText(Geometry) FROM hyd2_4l limit 5"
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> for rec in cursor: print(rec)

(1, 'LINESTRING(117.753906 49.164436, 117.757767 49.162174, 117.770287 49.167488, 117.780418 49.166622, 117.787033 49.168709, 117.78038 49.170738, 117.772697 49.1707, 117.762932 49.169971, 117.753838 49.171066, 117.753906 49.164436)')
(2, 'LINESTRING(117.717323 49.189854, 117.722633 49.183941, 117.715683 49.17979, 117.721657 49.176163, 117.722473 49.166111, 117.722878 49.160397, 117.72261 49.152855, 117.730362 49.146263, 117.731689 49.152214, 117.735481 49.156807, 117.729507 49.160664, 117.731522 49.167988, 117.729317 49.178028, 117.725761 49.184181, 117.720818 49.189415, 117.717323 49.189854)')
(3, 'LINESTRING(117.006027 48.793091, 117.009613 48.789017, 117.015663 48.78223, 117.016144 48.777206, 117.018021 48.771286, 117.023087 48.776142, 117.02565 48.770683, 117.025833 48.763832, 117.03109 48.760918, 117.037239 48.76442, 117.037117 48.768986, 117.034569 48.774445, 117.025726 48.781887, 117.019691 48.787533, 117.014771 48.790447, 117.006027 48.793091)')
(4, 'LINESTRING(126.779663 43.649345, 126.781639 43.653126, 126.775391 43.654545, 126.771309 43.652237, 126.773453 43.649261, 126.779663 43.649345)')
(5, 'LINESTRING(126.779892 43.640335, 126.775726 43.641029, 126.771538 43.643227, 126.774544 43.647022, 126.78083 43.644104, 126.779892 43.640335)')

LINESTRING 是另一个 GEOMETRY 类，并由许多点组成。在上面你得到一个非常简单的 LINESTRING ，使用四个顶点来表示线。在实际的GIS数据中，为数以千计的顶点组成的线计数并不简单。

为了更进一步了解，我们来看下面的例子。

>>> sql = '''SELECT ogc_fid, NumPoints(Geometry), GLength(Geometry) ,Dimension(Geometry),
>>>   GeometryType(Geometry) FROM hyd2_4l ORDER BY NumPoints(Geometry) DESC LIMIT 5'''
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> [print(x) for x in cursor]

(1806, 500, 1.7478694389081417, 1, 'LINESTRING')
(921, 497, 1.9186302045257673, 1, 'LINESTRING')
(1124, 497, 2.1301943026016965, 1, 'LINESTRING')
(1737, 495, 3.3726107566352503, 1, 'LINESTRING')
(1754, 493, 2.2308514238328825, 1, 'LINESTRING')

[None, None, None, None, None]

SpatiaLite 的 NumPoint() 函数返回线几何要素的顶点的数目。 GLength() 函数返回以地图单位计算的线几何类型的几何长度。 Dimension() 函数返回任何一种几何类的维度（对线来讲是1）。 GeometryType() 函数返回任何 Geometry 类型的值。

下面我们来看更多的函数。

>>> sql = '''SELECT ogc_fid, NumPoints(Geometry),
>>>         AsText(StartPoint(Geometry)), Y(PointN(Geometry, 2))
>>>         FROM hyd2_4l ORDER BY NumPoints(Geometry) DESC LIMIT 5'''
>>> cursor = cursor.execute(sql)
>>> [print(x) for x in cursor]

(1806, 500, 'POINT(112.299263 28.781227)', 28.781719207763672)
(921, 497, 'POINT(82.485016 40.96809)', 40.972862243652344)
(1124, 497, 'POINT(80.089989 37.630798)', 37.63481903076172)
(1737, 495, 'POINT(116.622162 29.221281)', 29.228797912597656)
(1754, 493, 'POINT(112.326111 29.059664)', 29.059078216552734)

[None, None, None, None, None]

SpatiaLite 的 StartPoint() 函数返回线状几何要素的第一个点。 EndPoint() 函数返回线状几何要素的最后一个点。 PointN() 函数返回选中的顶点和返回点状要素，每个点通过相对索引来标志；第一个点通过索引值1来标识，第二个点通过索引值2来标识，以下类推。

你可以通过GEOMETRY类将内部函数的返回值作为参数传递给外部函数，进而查看大量的 SpatiaLite 函数。

8.6.3. 多边形类型¶

>>> sql = 'SELECT name, AsText(Geometry) FROM region_popu WHERE ogc_fid=52'
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> for x in cursor: print(x)

('长春市', 'MULTIPOLYGON(((14091356.6 5658952.2, 14091180.3 5658649.4, 14091189.6 5658539.7, 14091210.5 5658402.4, 14091220 5658339.8, 14091255.4 5658214.8, 14091299.6 5658134.1, 14091343.3 5658082.7, 14091370.3 5658060.2, 14091407.5 5658029.3, 14091466.8 5657995.7, 14091535.7 5657982.6, 14091567.1 5657983.8, 14091613.7 5657985.6, 14091748.4 5658008.8, 14091844.6 5658039.3, 14091859.8 5658044.1, 14091868.2 5658046.7, 14091967.1 5658089.9, 14091983.8 5658097.2, 14091995.7 5658106.4, 14092043.6 5658143.8, 14092196.2 5658280.7, 14092271.1 5658378, 14092283.3 5658467.4, 14092167.8 5658717.8, 14092081.2 5658875.1, 14092063.8 5658925.8, 14092058.8 5658983.4, 14092060.8 5659050.9, 14092077 5659100.1, 14092117.1 5659170.9, 14092160.2 5659226.7, 14092248 5659282.2, 14092365.8 5659325.6, 14092493 5659351.5, 14092594.2 5659358.9, 14092682.6 5659352.7, 14092803.9 5659323.8, 14092834.3 5659256.9, 14092944.2 5658900.7, 14092968.6 5658803.3, 14093005.3 5658730.8, 14093064.8 5658664.7, 14093216 5658562.4, 14093347.1 5658508.6, 14093469.4 5658507.9, 14093518 5658518, 14093609.7 5658627.6, 14093771.2 5658711.8, 14093892.6 5658742.8, 14094006.2 5658746.2, 14094124.9 5658719.4, 14094125.9 5658718.9, 14094206.6 5658682.8, 14094907.9 5658364.5, 14094962.3 5658327.1, 14094998.1 5658282, 14095170 5658036.5, 14095431.3 5657663.3, 14095729.9 5657146.8, 14095774.5 5657047.1, 14095821 5656873.1, 14095857 5656840.9, 14095955.7 5656786.3, 14096044.8 5656753.5, 14096727.3 5656607.4, 14097060.7 5656559.3, 14097250.4 5656541.3, 14097352.1 5656531, 14097436.2 5656520.2, 14097546.1 5656469.3, 14097606.8 5656415.3, 14097663 5656346, 14097712.5 5656267.3, 14097735.6 5656181.6, 14097739.6 5656117.3, 14097724 5656035, 14097675.6 5655913.4, 14097614 5655798.6, 14097480.5 5655626, 14097382.3 5655504.4, 14097318.5 5655415.2, 14097264.7 5655294.2, 14097232.2 5655200.3, 14097195.6 5655093.1, 14097172.4 5654981.8, 14097159.3 5654881.6, 14097167.6 5654817.8, 14097189.7 5654749, 14097452.1 5654664.3, 14097619.8 5654660.6, 14097799.3 5654619.7, 14098892.4 5653918.7, 14099037.7 5653765.7, 14099170.4 5653603.7, 14099258.5 5653471.5, 14099323.7 5653373.7, 14099386.3 5653231.4, 14099399.1 5653202.1, 14099467.4 5652977.6, 14099518.8 5652692, 14099488.8 5652538.2, 14099388.1 5652440.1, 14099323.5 5652335.8, 14099311.5 5652205.6, 14099315 5652083, 14099403.2 5652067, 14099616.8 5652038.6, 14099932.5 5652036.4, 14099932.1 5652047.7, 14100000.3 5652049.7, 14100073.5 5652054, 14100714.6 5652092, 14100812.8 5652097.8, 14100830.4 5652098.8, 14100970 5652074.9, 14101105.1 5652024, 14101196.9 5651982, 14101306.5 5651869.8, 14101600.8 5651432.6, 14101642.5 5651352.9, 14101762 5651124.3, 14101857.7 5650844.3, 14101916.5 5650750.9, 14102059.8 5650662.7, 14102096.7 5650655.2, 14102130.4 5650648.3, 14102222 5650629.7, 14102289.7 5650615.9, 14102484.4 5650595.6, 14103260.4 5650610.2, 14104080.4 5650625.5, 14104290 5650635.8, 14104477.8 5650701.8, 14104554.7 5650735.2, 14104700.4 5650798.6, 14104930 5650881.3, 14104962.6 5650891.5, 14106179.3 5650921.8, 14106571.7 5650921.4, 14106800 5650878.8, 14106882.6 5650840.6, 14106993.7 5650789.1, 14107078.6 5650678.3, 14107080.2 5650676.2, 14107109.1 5650632.1, 14107143.3 5650579.9, 14107165.3 5650504.4, 14107197.4 5650394, 14107199.8 5650203.7, 14107172.8 5650090.1, 14107100.8 5649788.4, 14107020.5 5649526.6, 14107021.2 5649500.9, 14107024.2 5649396.9, 14107026.6 5649309, 14107092.3 5649169.6, 14107185.8 5649065.5, 14107347.1 5649002.3, 14107590 5648947.9, 14108010.9 5648879, 14108069 5648829.4, 14108156.4 5648797.2, 14108153.8 5648790.2, 14108228.8 5648770.5, 14108361.1 5648771, 14108529.1 5648771.7, 14108765.5 5648847.6, 14108965.3 5648951.2, 14109010 5648982.8, 14109272.5 5649168.2, 14109464.8 5649229.1, 14109601.2 5649232.9, 14109673.9 5649227.2, 14109751.4 5649221.1, 14110291.8 5649104.9, 14110529.9 5649032.1, 14110603.3 5648953.8, 14110646.5 5648907.7, 14110717.1 5648781.1, 14110838.2 5648315.8, 14111302.8 5647465.2, 14111397.6 5647343, 14111595.9 5647183.4, 14112004.6 5646956.1, 14112375.5 5646836.1, 14112547 5646753.5, 14112632.1 5646712.5, 14112757.4 5646652.1, 14112979.5 5646487.6, 14113101.1 5646322.1, 14113141.1 5646064.4, 14113204.8 5645600.8, 14113223.8 5645462.6, 14113239.3 5645349.7, 14113260.1 5644722.7, 14113212.2 5644402.2, 14113213.4 5644158.2, 14113465.5 5643097.4, 14113544.8 5642804.2, 14113637.3 5642645.4, 14113686.8 5642560.5, 14113889.6 5642430.3, 14114176.7 5642361.2, 14114321 5642365.1, 14114412.2 5642431.9, 14114430.3 5642445.2, 14114515.2 5642550.2, 14114637.5 5642828.7, 14114706.9 5642964.9, 14114748.6 5643046.4, 14114870.8 5643189.2, 14115014.4 5643222.5, 14115262.3 5643181.5, 14115625.9 5642987.8, 14115857.8 5642843.9, 14115913.6 5642809.3, 14115940.2 5642792.8, 14116134.6 5642768.7, 14116379.4 5642843.3, 14116558.2 5642993.1, 14116673.8 5643385.1, 14116757.6 5643871.7, 14116789.5 5644111.1, 14116872.9 5644273, 14117000 5644373.6, 14117215.7 5644443.7, 14117540.7 5644461.7, 14117815.5 5644445.3, 14118052.9 5644251.7, 14118141.5 5644017.4, 14118147.7 5643784.6, 14118125.9 5643371.2, 14118127.2 5643118.1, 14118486.6 5642216.4, 14118603.9 5642093.7, 14118657.1 5642071.9, 14118769.1 5642025.7, 14118894.9 5642013.9, 14119015.9 5642036.2, 14119097.6 5642107, 14119187 5642263.5, 14119286.4 5642439.5, 14119804.6 5643018.3, 14119969.7 5643134.7, 14120746.4 5643630.6, 14120979.8 5643724.9, 14121262.9 5643664.6, 14121519.9 5643496.7, 14121586.7 5643453, 14121789.8 5643308, 14121814.4 5643292.5, 14122104 5643109.1, 14122259.3 5643113.2, 14122503 5643235.2, 14123025 5643408.7, 14123683.9 5643591.2, 14124020.1 5643667.9, 14124206.4 5643653.3, 14124282.1 5643647.3, 14124744.7 5643509, 14125144.1 5643407.6, 14125878.9 5643276.4, 14126060.9 5643305, 14126410.8 5643420.6, 14126595.2 5643572.1, 14126814.9 5643725.2, 14126982.2 5643841.7, 14127071.2 5643903.7, 14127210.8 5643951.4, 14127419.2 5643951.3, 14127867.3 5643803.3, 14128803.6 5643299.2, 14129589.7 5642877.3, 14129871.9 5642778.2, 14130008.6 5642777.3, 14130042 5642777.1, 14130164.6 5642842.6, 14130392.9 5642995.2, 14130672.2 5643084.9, 14131037.4 5643176.8, 14131375.3 5643189.1, 14131950 5643189.4, 14131950 5643189.1, 14132110.3 5643189.5, 14132379 5643117.4, 14132591.7 5642948.6, 14132804.7 5642697.2, 14132897.4 5642451.7, 14132951.6 5642308.3, 14132933.7 5642189.9, 14132799.3 5642043.4, 14132378.4 5641771.4, 14132307.3 5641725.5, 14132140.8 5641621.3, 14132059.5 5641474.3, 14132037.4 5641301.3, 14132009.5 5640487.2, 14132016 5640412.1, 14132101.6 5640268, 14132132.5 5640216.1, 14132281.8 5640128.2, 14132604.9 5640075.9, 14132780.1 5640021, 14132878.5 5639990.2, 14133115 5639906.5, 14133224.2 5639867.8, 14133490.1 5639690.3, 14133550.2 5639587.2, 14133842.7 5639021.8, 14133874.6 5638916.2, 14133860.8 5638792.5, 14133811 5638510.5, 14133822.7 5638409.1, 14133872.7 5638316.3, 14133915.2 5638275.7, 14133988.2 5638245.1, 14134499.2 5638156.2, 14134538.2 5638153, 14134700.9 5638140, 14134358.4 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14054425.6 5646848.1, 14054488 5647012.4, 14054521.2 5647095.5, 14054801 5647585.9, 14054866.9 5647682.1, 14054993.6 5647784.9, 14055052.3 5647805.2, 14055117.9 5647824.8, 14055187 5647838, 14055364.4 5647785.4, 14055525.8 5647644.1, 14055674.6 5647466.6, 14055814 5647359.5, 14056489.6 5646992.9, 14056915.3 5646785.5, 14057085.3 5646752, 14057358.6 5646726.7, 14057429 5646730.4, 14057544.7 5646771, 14057779.2 5646929.1, 14057941.1 5647044.7, 14058068.1 5647203.5, 14058088.1 5647255.3, 14058092.7 5647300.4, 14058091.3 5647323.2, 14058090 5647343.1, 14058057.7 5647410.2, 14057867 5647638.3, 14057783 5647723.9, 14057711.9 5647788.4, 14057614.7 5647870.9, 14057445.7 5647934.6, 14057073.5 5648093.1, 14056840.2 5648192.5, 14056773.9 5648384.7, 14056784.9 5648591.5, 14056856.6 5648736.7, 14056955.6 5648815.7, 14057149.5 5648885.9, 14057262.7 5648899.3, 14057343.7 5648897.6, 14057651.8 5648890.9, 14057704.5 5648891.7, 14057845.5 5648893.8, 14057995.4 5648952.9, 14058181 5649057.6, 14058284.8 5649172.7, 14058318.2 5649319.1, 14058260 5649556, 14058144.3 5649795.8, 14057961.3 5649970.9, 14057815.7 5650137.7, 14057742 5650302.9, 14057709.6 5650375.4, 14057662.3 5650752, 14057667.9 5650787.1, 14057693.9 5650950, 14057763.1 5651137.2, 14057803.6 5651203.8, 14058174.7 5651454.6, 14058221.2 5651468.2, 14058504.5 5651551, 14058547.6 5651544.3, 14058829 5651468.5, 14058961.3 5651403.3, 14059171.9 5651231.5, 14059279.8 5651097.7, 14059314.3 5651055, 14059362.4 5650938.9, 14059348 5650795.6, 14059207.8 5650442.7, 14059234.3 5650368, 14059172 5650345.7, 14059139.8 5650334.2, 14059089.6 5650114.6, 14059053.7 5649864.9, 14059055.8 5649826, 14059062.5 5649706.7, 14059130.3 5649467.7, 14059214.2 5649320.5, 14059340.4 5649233.5, 14059347 5649232, 14059468.1 5649205.3, 14059540.3 5649230.6, 14059714.1 5649327.6, 14059780.5 5649377.3, 14059813.3 5649401.8, 14059964.7 5649571.2, 14060029 5649643.1, 14060160.2 5649800, 14060288 5649877.5, 14060431.9 5649905.1, 14060552.6 5649909.1, 14060665.6 5649855.3, 14060801.4 5649765, 14060982.2 5649545.4, 14060990.2 5649538.6, 14061116.4 5649432.2, 14061251.7 5649357.5, 14061378.4 5649361.7, 14061510.7 5649375.7, 14061562.4 5649455.2, 14061580.1 5649482.5, 14061639.7 5649598.5, 14061655.7 5649872.8, 14061693.7 5650064.9, 14061794 5650178.7, 14061895.1 5650268.5, 14062067.2 5650347.5, 14062382.4 5650475.6, 14062519.6 5650561.8, 14062641.9 5650661.9, 14062789.2 5650914.1, 14062913.6 5651277.3, 14063006.3 5651442.4, 14063122.1 5651558, 14063289.7 5651594.7, 14063429.7 5651597.1, 14063507.3 5651598.3, 14063690.1 5651534.8, 14063825.9 5651444.4, 14063914.3 5651269.6, 14064002.3 5650992.8, 14064061.9 5650819.5, 14064067.8 5650802.5, 14064149.1 5650569, 14064230.3 5650428.8, 14064347.2 5650330.6, 14064814.7 5650340.1, 14065225.5 5650365.6, 14065472.9 5650469.4, 14065586.2 5650605.6, 14065668.1 5650748, 14065753.7 5650896.9, 14065895.1 5651773.2, 14065971.7 5651991.9, 14066069.9 5652149.7, 14066092.2 5652185.5, 14066301.3 5652307.7, 14066719.2 5652556.8, 14066741.1 5652575.1, 14067005.3 5652635.5, 14067041.4 5652626.1, 14067061.8 5652620.8, 14067256.9 5652659.6, 14067344 5652707.8, 14067471.5 5652857.5, 14067546.8 5653039.6, 14067572.1 5653141, 14067567.9 5653326.7, 14067636.4 5653445.4, 14067717.5 5653586.2, 14067939.9 5653963.4, 14068033.6 5654052.5, 14068059.1 5654076.7, 14068059.3 5654076.5, 14068060.4 5654075.1, 14068327.2 5654296.6, 14068449.2 5654399, 14068569.2 5654499.9, 14068697.2 5654607.3, 14068965.5 5654832.7, 14069307.8 5655120.1, 14069531.1 5655324.4, 14069543.2 5655338.7, 14069611.8 5655419.6, 14069780.2 5655618.4, 14069972.1 5655980.2, 14069975.4 5655982.3, 14070165.6 5656100.9, 14070226.1 5656138.6, 14070262 5656161, 14070262.8 5656159.8, 14071285.8 5656791.6, 14071758.2 5657146.8, 14071918.5 5657300.9, 14071944.5 5657388.3, 14071947.2 5657415.3, 14071963.5 5657579.9, 14071984.2 5657608.5, 14072090.8 5657755.9, 14072198.3 5657851.6, 14072208.4 5657860.6, 14072478.9 5657901.7, 14072720.3 5657880.6, 14072908.6 5657645.2, 14072952.9 5657347.4, 14073277.7 5656811.2, 14073484.4 5656487.4, 14073610.8 5656389.4, 14074097.9 5656322.1, 14074261.6 5656330.9, 14074304.4 5656344.1, 14074475.4 5656396.9, 14074478.6 5656397.9, 14074541.9 5656420.2, 14074895.5 5656544.5, 14076150.8 5657134.7, 14076299.7 5657235.6, 14076419.1 5657552.9, 14076481.3 5657780.8, 14076548.6 5657964.4, 14076562.9 5657981.1, 14076624.9 5658053.3, 14076905.2 5658124.7, 14077238.1 5658202.5, 14077380.5 5658207, 14077489.4 5658167.9, 14077608.2 5658125.3, 14077614.6 5658124.5, 14077858.2 5658097.1, 14077891.8 5658093.4, 14078076.8 5658116.2, 14078087.5 5658117.6, 14078296.7 5658204.7, 14078685.8 5658439.2, 14078825.4 5658532.5, 14079004 5658567, 14079230 5658575.5, 14079393.9 5658581.6, 14079657.3 5658545.4, 14079889.8 5658540.7, 14080084.9 5658584.1, 14080255.6 5658679.5, 14080449.6 5658873.1, 14080527.9 5658990.6, 14080598.3 5659096.4, 14080788.8 5659323.9, 14080814.3 5659354.3, 14080928.7 5659450.4, 14081039.3 5659475.5, 14081162.6 5659479.4, 14081302.3 5659452.5, 14081460 5659375.9, 14081486 5659363.3, 14081502.9 5659354, 14081786.3 5659190.7, 14082047.7 5659043.3, 14082084 5659022.8, 14082235.7 5659006.8, 14082323.6 5659012.3, 14082352.5 5659022.8, 14082496.1 5659095, 14082707.8 5659275.5, 14082807.5 5659379.6, 14082926.7 5659644.6, 14082983.4 5659835.5, 14083083.5 5660064.5, 14083187.2 5660155.8, 14083288.7 5660177.7, 14083502 5660165.6, 14084071.5 5660128.3, 14084178.6 5660109.9, 14084286.2 5660071.4, 14084317.6 5660049.2, 14084452.4 5659953.8, 14084903.6 5659550.5, 14085181.3 5659315.1, 14085340.7 5659196.3, 14085441.9 5659121, 14085542.4 5659073.4, 14085676.9 5659009.8, 14086083.6 5658929.9, 14086220.1 5658934.1, 14086366.7 5658989.1, 14086458.6 5659023.7, 14086475.9 5659030.2, 14086554.4 5659059.8, 14086699.4 5659149.5, 14086704.1 5659152.4, 14086763.3 5659240.8, 14086849.5 5659387.8, 14087077.1 5659946.3, 14087244.9 5660277.9, 14087348.6 5660482.9, 14087404.3 5660544.2, 14087422.1 5660563.9, 14087434.8 5660577.9, 14087435.8 5660578.2, 14087507.8 5660603.5, 14088479 5660945, 14088603.6 5660988.8, 14088948.1 5660982, 14089014.4 5660978.6, 14089438.1 5660956.9, 14089892.2 5660910.3, 14089911.6 5660906.6, 14090232.9 5660844.8, 14091469 5660239.7, 14091842.1 5660057, 14091879.6 5660038.6, 14091856.5 5659991.1, 14091862.2 5659943.3, 14091856.3 5659845.8, 14091837.2 5659747.8, 14091756.6 5659639.2, 14091356.6 5658952.2)))')

POLYGON 是另外一个GEOMETRY类。 POLYGON 是一个非常简单的多边形，且只有此部的环（没有内部的洞）。要注意，POLYGON可以包含何意数据的洞，通过内部环分隔开来。

外部环是一个简单的 LINESTRING （内部洞也是 LINESTRING ）。注意 POLYGON 是一个闭合的几何类型， POLYGON的第一个点与最后一个点的位置是完全相同的。

>>> sql = '''SELECT Area(Geometry), AsText(Centroid(Geometry)),
>>>              Dimension(Geometry), GeometryType(Geometry) FROM region_popu
>>>              ORDER BY Area(Geometry) DESC LIMIT 5'''
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> [print(x) for x in cursor]

(794169055263.5575, 'POINT(9735558.732197 4803731.408402)', 2, 'MULTIPOLYGON')
(603606958206.425, 'POINT(13493799.524256 6397562.454671)', 2, 'MULTIPOLYGON')
(500817941332.99493, 'POINT(9934227.274783 3866271.461146)', 2, 'MULTIPOLYGON')
(481381894962.2061, 'POINT(9190823.045994 3903907.652643)', 2, 'MULTIPOLYGON')
(469492240685.02594, 'POINT(10524906.800036 4404837.144457)', 2, 'MULTIPOLYGON')

[None, None, None, None, None]

在前面我们使用了 SpatiaLite 的 Dimension() 函数与 GeometryType() 函数。对于 POLYGON 类型，这两个函数的意义与其他都是一样的。 SpatiaLite的 Area() 函数返回多边形的几何面积， Centroid() 函数返回多边形几何要素的质心。

>>> sql = '''SELECT ogc_fid, NumInteriorRings(Geometry),
>>>         NumPoints(ExteriorRing(Geometry)),
>>>         NumPoints(InteriorRingN(Geometry, 1))
>>>         FROM region_popu ORDER BY NumInteriorRings(Geometry) DESC LIMIT 5'''
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> [print(x) for x in cursor]

(2, 1, 5435, 1104)
(106, 1, 1919, 44)
(152, 1, 7091, 4)
(173, 1, 5306, 71)
(177, 1, 4422, 92)

[None, None, None, None, None]

SpatiaLite 的 ExteriorRing() 函数返回给定几何要素的外部线环。任何有效的多边形要素必须要有一个外部线环，并且这个线环是闭合的。 SpatiaLite 的 NumInteriorRings() 函数返回多边形中内部洞的数目可以是一个有效的多边形可以有一些洞，也可以没有。

SpatiaLite 的 InteriorRingN() 函数以 LINESTRING 的格式返回第 N 个内部洞。每个洞都以相对索引来标识：第一个的索引值是1，第二个的索引值是2，其余依次类推。

ring 一个 LINESTRING，所以我们可以使用 NumPoints() 函数来获取相关的顶点的数目。在无效的要素上，则返回结果为NULL。

8.6.4. 查看多边形的坐标¶

>>> sql = '''SELECT AsText(InteriorRingN(Geometry, 1)),
>>>     AsText(PointN(InteriorRingN(Geometry, 1), 4)),
>>>     X(PointN(InteriorRingN(Geometry, 1), 5))
>>>     FROM region_popu WHERE ogc_fid=2'''
>>> cursor.execute(sql)

<sqlite3.Cursor at 0x7f6c103f4640>

>>> for x in cursor: print(x)

('LINESTRING(13090718.9 4781748.7, 13090765.9 4781209.7, 13090767.1 4781190.4, 13090692.3 4781189.5, 13090679.2 4781332.2, 13090655.6 4781329.1, 13090648.9 4781328.2, 13090644 4781327.6, 13090604.8 4781326.4, 13090571.3 4781302.3, 13090427.6 4781198.8, 13090422.3 4781046.8, 13090421 4781009.4, 13090422.8 4780979.4, 13090422.1 4780968.3, 13090416.8 4780960.9, 13090385.3 4780954.5, 13090291 4780939.4, 13090260.8 4780922.5, 13090202.6 4780881.5, 13090174.8 4780839.6, 13090156.8 4780814.7, 13090150.5 4780810.6, 13090105.8 4780794.9, 13090101.5 4780785.4, 13090094.4 4780782.7, 13090087.8 4780780.2, 13089900.8 4780717.7, 13089865.6 4780705.9, 13089833.2 4780695.1, 13089838.1 4780462.7, 13089794.3 4780424.2, 13089794 4780423, 13089741.7 4780222.8, 13089629.5 4780082.5, 13089608.7 4779950.6, 13089606.7 4779937.6, 13089504.1 4779833.7, 13089466 4779800.6, 13089451.2 4779787.8, 13089451.1 4779783.1, 13089450.8 4779771, 13089087.9 4779734.7, 13089077 4779733.5, 13088345.7 4779655, 13088202 4779639.6, 13087776.3 4779596.4, 13087774.4 4779615.3, 13087764 4779720.1, 13087734 4779715.4, 13087674.9 4779706.3, 13087267.9 4779643.5, 13087294.6 4779217.7, 13087298.2 4779146.6, 13087302.7 4779056.6, 13086947.1 4778997, 13086956.3 4778961.6, 13086958.3 4778948.3, 13086962 4778923.6, 13086967 4778890.4, 13086967.7 4778885.6, 13086976.2 4778829.4, 13086977.4 4778821.6, 13086993.2 4778717.4, 13086993.7 4778713.9, 13087008.3 4778617.7, 13087014.1 4778579.3, 13086998.5 4778577.1, 13086922.1 4778566, 13086906.3 4778563.7, 13086908 4778547.7, 13086424.2 4778501.4, 13086337.5 4778493.1, 13086064.2 4778466.9, 13086051.8 4778465.8, 13086045.4 4778465.1, 13086084.8 4778182.7, 13086111.1 4777994.7, 13085826.5 4777969.3, 13085470.7 4777937.5, 13085321.3 4777923.2, 13085321.4 4777921.8, 13085324.9 4777897.4, 13085325.7 4777892.2, 13085350.9 4777716.8, 13085364.7 4777717.1, 13085424.2 4777718.4, 13085490.7 4777719.9, 13085523 4777720.6, 13085526.1 4777708.4, 13085543.1 4777641, 13085591.2 4777450.6, 13085658.4 4777455.3, 13085679.6 4777456.8, 13085683.9 4777457.1, 13085732.7 4777460.4, 13085735.1 4777439.5, 13085736.7 4777424.4, 13085738.6 4777408.2, 13085793.2 4776922.9, 13085794.8 4776908.5, 13085801.3 4776884.9, 13085688.8 4776862.9, 13085546.2 4776805.6, 13085432.1 4776730.8, 13085243.6 4776599, 13085235.1 4776570, 13085238.7 4776483.4, 13085221.7 4776481.3, 13085215.6 4776480.6, 13085208 4776479.7, 13085157.1 4776456.5, 13084849.9 4776351.6, 13084826.9 4776346, 13084777.2 4776340.2, 13084717.1 4776333.1, 13084662.8 4776326.8, 13084659.5 4776326.8, 13084654.6 4776328.5, 13084645.6 4776333.4, 13084642.3 4776336.7, 13084640.7 4776340, 13084639.8 4776343.3, 13084634.1 4776344.2, 13084625.9 4776340.9, 13084611.9 4776338.5, 13084592.2 4776328.7, 13084580.7 4776323, 13084575 4776321.4, 13084296.8 4776291.9, 13084276.3 4776293.6, 13084256.6 4776292.9, 13084239.3 4776289.7, 13084233.5 4776284.4, 13084227.7 4776273.9, 13084232.9 4776258.9, 13084236.2 4776252.9, 13084263.7 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4780394.4, 13104620.3 4780361.4, 13104592.8 4780358.7, 13104394 4780339.6, 13104195.9 4780320.5, 13103836 4780285.9, 13103816.4 4780284, 13103797.4 4780282.1, 13103780 4780280.5, 13103726.5 4780274.8, 13103434.6 4780244.1, 13103409.9 4780241.2, 13103072.4 4780206.8, 13103054.7 4780205, 13102914.7 4780192.3, 13102677.3 4780167.5, 13102644 4780164.1, 13102356.6 4780134.1, 13102078.7 4780107.4, 13102004.8 4780100.3, 13101882 4780089.1, 13101669.9 4780069.6, 13101613.7 4780064.5, 13101597.6 4780063, 13101608.4 4779953.8, 13101633.7 4779705.2, 13101642.5 4779619.8, 13101663.1 4779424, 13101689.7 4779163.6, 13101731.2 4778755.9, 13101756.2 4778475, 13101797.8 4778007.3, 13101799.2 4777992.1, 13101801.3 4777970.6, 13101812.1 4777860.2, 13101856.6 4777404.7, 13101819 4777400.9, 13101583.6 4777377, 13101235.4 4777341.8, 13101151.3 4777333.2, 13100656 4777283, 13100263.5 4777242.2, 13100166.7 4777232.1, 13099793.9 4777193.3, 13099706.3 4777184.1, 13099261.8 4777137.8, 13099099.9 4777120.9, 13098790.5 4777088.7, 13098703.9 4777079.7, 13098648.9 4777073.9, 13098620.4 4777071, 13098615 4777111.9, 13098590 4777363.3, 13098576.5 4777499.7, 13098560.7 4777664.3, 13098557.1 4777702.6, 13098543.4 4777844.7, 13098541.6 4777863.6, 13098535.2 4777925.5, 13098512.7 4778142.5, 13098497.2 4778291.9, 13098495.3 4778311.3, 13098492.2 4778343.7, 13098488.9 4778377.5, 13098488.6 4778381.2, 13098489.6 4778393.2, 13098489.7 4778394, 13098487.9 4778417.3, 13098502.3 4778419.3, 13098491.9 4778558.6, 13098490.3 4778579.6, 13098481.6 4778696.3, 13098459.5 4778911.1, 13098410.5 4779387.7, 13098378.4 4779700.7, 13098383.8 4779716.5, 13098389.6 4779735.3, 13098388.6 4779746.7, 13098387.6 4779758.9, 13098378.5 4779864.1, 13098388.7 4779884.7, 13098388.4 4779898.3, 13098386.5 4779908.8, 13098383.9 4779923.6, 13098381.1 4779924.2, 13098344.9 4779913.6, 13098337.9 4779909, 13098330.9 4779904.4, 13098314.8 4779898.6, 13098299.3 4779895.9, 13098276.2 4779896.1, 13098259.7 4779889.1, 13098234.4 4779883, 13098199 4779867.2, 13098124.5 4779850.4, 13098118.5 4779852, 13098110.1 4779856.5, 13098102.8 4779910.2, 13098084.3 4780045.2, 13098082.4 4780059.7, 13098081.4 4780066.6, 13098080.9 4780070.1, 13098267.8 4780149.8, 13098310.5 4780167.9, 13098314.2 4780169.7, 13098358.5 4780188.6, 13098368.1 4780193.8, 13098367.8 4780194.8, 13098338.7 4780276.6, 13098333.3 4780291.6, 13098225.6 4780594, 13098205.9 4780649.4, 13098133.8 4780851.8, 13098124.4 4780850.2, 13098093.6 4780844.4, 13098083.4 4780833.7, 13098083.4 4780831.6, 13098083.6 4780819.1, 13098083.6 4780813.8, 13098084.2 4780760.2, 13098084.3 4780746.2, 13098085 4780684.3, 13098085.1 4780674.9, 13098065.8 4780666.8, 13097919.1 4780605.5, 13097851.9 4780563.7, 13097753.8 4780501.5, 13097743.6 4780495, 13097740.7 4780493.3, 13097734 4780487.3, 13097657.7 4780631.7, 13097579.7 4780779.5, 13097579.2 4780786.2, 13097561.1 4780778.9, 13097119.7 4780595.4, 13097118.7 4780594.9, 13097078.5 4780579.9, 13097062.7 4780574, 13096915.7 4780514.8, 13096808.7 4780471.6, 13096772.2 4780458.4, 13096614.6 4780401, 13096614.8 4780392.3, 13096614.9 4780388.3, 13096615.9 4780354.4, 13096607.9 4780349, 13096693.7 4780154.2, 13096727.6 4780077.2, 13096687 4780059.1, 13096583.2 4780012.8, 13096281.1 4779878, 13096181.5 4779833.5, 13096169.5 4779838.4, 13096141.9 4779900.5, 13096124.7 4779896.7, 13096024.1 4779875.3, 13096025.7 4779865.8, 13095859.6 4779826.9, 13095815.3 4779816.6, 13095772.2 4779870.3, 13095750.9 4779867.9, 13095322.6 4779819.8, 13095322.8 4779815.6, 13095337.5 4779463.9, 13095338.5 4779439.7, 13095197.5 4779429.1, 13095131.5 4779424.1, 13095097.3 4779422.4, 13095107.5 4779311.5, 13095132 4779046.5, 13095132.1 4779020.2, 13095125.4 4779017.8, 13095105 4779010.4, 13094930.8 4778948.1, 13094783.2 4778895.2, 13094699.6 4778863.4, 13094478.6 4778779.4, 13094473.1 4778782.4, 13094472.6 4778787.7, 13094442.3 4779086.1, 13094390.5 4779626.3, 13094387.2 4779626, 13094386.6 4779647.5, 13094380.8 4779646.9, 13094354.2 4779644.1, 13094274.4 4779636.4, 13094106.1 4779620.1, 13094035 4779620.6, 13094021.2 4779622.7, 13094017.4 4779649.4, 13094006.4 4779766.8, 13093999.3 4779842, 13093970.3 4780151.1, 13093964.2 4780215.7, 13093948.4 4780214.2, 13093763.2 4780196.1, 13093559.2 4780175.1, 13093476.9 4780166.6, 13093320.1 4780154.6, 13093180.8 4780143.9, 13093090.5 4780137, 13092793.6 4780114.2, 13092717.5 4780106.1, 13092551.8 4780088.4, 13092540.7 4780087.2, 13092515 4780441.1, 13092505.1 4780467.9, 13092390.6 4780456.8, 13092234.6 4780441.7, 13092175.9 4780574.5, 13092159.5 4780587.3, 13092084.5 4780603.6, 13091754.5 4780867.9, 13091769.6 4781197.8, 13091724.7 4781200.5, 13091721.5 4781224.4, 13091719.5 4781240.4, 13091698.1 4781406.2, 13091693.5 4781441.5, 13091688.8 4781469, 13091505.2 4781533.6, 13091178.1 4781639.1, 13091146.9 4781649.2, 13091115.8 4781659.2, 13090743.2 4781767.8, 13090717.3 4781775.4, 13090717.3 4781768, 13090718.9 4781748.7)', 'POINT(13090692.3 4781189.5)', 13090679.2)

我们已经在前面遇到过用法了。

对于POLYGON来说，它变得更加乏味，但仍然容易理解。例如，为了获得最后一列，我们使用了 InteriorRingN() 来获取第一个内部环，然后通过 PointN() 获得第五个顶点。

最后我们可以调用 X() 、 Y() 来获取坐标值。

8.6.5. 更多的类型¶

点、线、面是 GEOMETRY 中的基本类。但是 GEOMETRY 也支持复杂类。

MULTIPOINT 是属于同一个实体的两个或更多点的集合。
MULTILINESTRING 是两个或更多线状要素。
MULTIPOLYGON 是两个或更多多边形要素。
GEOMETRYCOLLECTION 是包含多种要素类型的集合。

对于上面这些类型就不进行更多说明了。总体来讲，这个类型比基本的类型会多一些性质。

SpatiaLite 的 NumGeometries() 函数返回集合中元素的数目。
GeometryN() 函数返回集合中的第 N 个元素。
GLength() 函数由 MULTILINESTRING 集合中所有线状要素组成的各单独长度的和。
Area() 函数返回 MULTIPOLYGON 集中中所有多边形要素的单独面积的和。
Centroid() 函数返回 MULTIPOLYGON 的平均质心。

8.6.6. GEOMETRY 外包矩形¶

在开始之前，先运行：

>>> import sqlite3 as sqlite
>>> conn = sqlite.connect("spalite.db")
>>> conn.enable_load_extension(True)
>>> conn.execute('SELECT load_extension("mod_spatialite.so.7")')

<sqlite3.Cursor at 0x7f6c103f4dc0>

>>> cursor = conn.cursor()

下面是所有 GEOMETRY 类的基本属性：

>>> sql = '''SELECT Name, AsText(Envelope(Geometry)) FROM region_popu LIMIT 5'''
>>> cursor.execute(sql)
>>> for x in cursor:
>>>     print(x)

('北京市', 'POLYGON((12848142.4 4785194.8, 13080958.7 4785194.8, 13080958.7 5021042.8, 12848142.4 5021042.8, 12848142.4 4785194.8))')
('天津市', 'POLYGON((12991215.3 4658103, 13142291.1 4658103, 13142291.1 4902595.8, 12991215.3 4902595.8, 12991215.3 4658103))')
('石家庄市', 'POLYGON((12636652.7 4500159.5, 12854887.4 4500159.5, 12854887.4 4687864.6, 12636652.7 4687864.6, 12636652.7 4500159.5))')
('唐山市', 'POLYGON((13079762.4 4709808.8, 13280857.2 4709808.8, 13280857.2 4933581.4, 13079762.4 4933581.4, 13079762.4 4709808.8))')
('秦皇岛市', 'POLYGON((13198175.3 4782252.4, 13341506.3 4782252.4, 13341506.3 4955426.6, 13198175.3 4955426.6, 13198175.3 4782252.4))')

SpatiaLite 的 Envelope() 函数总是返回给定多边形的最小边界矩形。（Minimum Bounding Rectangle - MBR）。最小边界矩形由5个点组成（第一个点与最后一个点是相同的）。需要注意，在不同的投影方式，同一多边形的最小边界矩形是不一样的（包括形状、大小与方向）。

MBR 也被称为矩形边界框（bounding boxes， BBOX）

有效的点如下所示。

POINT #1: minX,minY
POINT #2: maxX,minY
POINT #3: maxX,maxY
POINT #4: minX,maxY
POINT #5: minX,minY

MBR 在使用中是比较特别的。通过 MBR，可以对多边形的空间关系进行简单与大致的分析。由于 MBR 计算起来非常快，所以在提高数据处理速度中得到了广泛的应用。

到目前，通过前面的实例，对于空间数据处理的基本核心有了基本的了解。

>>> [print(rec) for rec in cursor]

[]

8.5. 导入Shapefile

8.7. 管理坐标参考与坐标转换

Python与开源GIS