14

我们需要找出一种快速且相当准确的方法,用于在谷歌地图上获取纬度/经度值和多边形的多边形点。经过一些研究 - 遇到了一些关于 mysql 几何扩展的帖子,并且也实现了 -

SELECT id, Contains( PolyFromText( 'POLYGON(".$polygonpath.")' ) , PointFromText( concat( \"POINT(\", latitude, \" \", longitude, \")\" ) ) ) AS
            CONTAINS
FROM tbl_points

然而,这不适用于由大量点组成的多边形:(

经过更多研究 - 遇到了一种称为 Ray-casting 算法的标准算法,但在尝试在 MySQL 中开发查询之前,如果有人已经通过该算法或遇到一个显示如何实现的有用链接,我想借此机会MySQL / SQL-server 中的算法。

所以,缩短它 - 问题是:

谁能提供Ray Casting算法的MySQL/SQL-server实现?

附加细节:

  • 多边形是凹的、凸的或复杂的。
  • 目标是快速执行超过 100% 的准确度。
4

7 回答 7

18

以下函数(MYSQL 版本的 Raycasting 算法)震撼了我的世界:

CREATE FUNCTION myWithin(p POINT, poly POLYGON) RETURNS INT(1) DETERMINISTIC 
BEGIN 
DECLARE n INT DEFAULT 0; 
DECLARE pX DECIMAL(9,6); 
DECLARE pY DECIMAL(9,6); 
DECLARE ls LINESTRING; 
DECLARE poly1 POINT; 
DECLARE poly1X DECIMAL(9,6); 
DECLARE poly1Y DECIMAL(9,6); 
DECLARE poly2 POINT; 
DECLARE poly2X DECIMAL(9,6); 
DECLARE poly2Y DECIMAL(9,6); 
DECLARE i INT DEFAULT 0; 
DECLARE result INT(1) DEFAULT 0; 
SET pX = X(p); 
SET pY = Y(p); 
SET ls = ExteriorRing(poly); 
SET poly2 = EndPoint(ls); 
SET poly2X = X(poly2); 
SET poly2Y = Y(poly2); 
SET n = NumPoints(ls); 
WHILE i<n DO 
SET poly1 = PointN(ls, (i+1)); 
SET poly1X = X(poly1); 
SET poly1Y = Y(poly1); 
IF ( ( ( ( poly1X <= pX ) && ( pX < poly2X ) ) || ( ( poly2X <= pX ) && ( pX < poly1X ) ) ) && ( pY > ( poly2Y - poly1Y ) * ( pX - poly1X ) / ( poly2X - poly1X ) + poly1Y ) ) THEN 
SET result = !result; 
END IF; 
SET poly2X = poly1X; 
SET poly2Y = poly1Y; 
SET i = i + 1; 
END WHILE; 
RETURN result; 
End; 

添加

  DELIMITER ;; 

根据需要在函数之前。该函数的用法是:

 SELECT myWithin(point, polygon) as result;

在哪里

 point  = Point(lat,lng) 
 polygon = Polygon(lat1 lng1, lat2 lng2, lat3 lng3, .... latn lngn, lat1 lng1)

请注意,多边形应该是关闭的(通常,如果您要检索标准的 kml 或 googlemap 数据,它会关闭,但只需确保它是关闭的 - 注意 lat1 lng1 集在最后重复)

我的数据库中没有点和多边形作为几何字段,所以我必须执行以下操作:

 Select myWithin(PointFromText( concat( "POINT(", latitude, " ", longitude, ")" ) ),PolyFromText( 'POLYGON((lat1 lng1, ..... latn lngn, lat1 lng1))' ) ) as result

我希望这可以帮助某人。

于 2011-10-10T06:17:44.903 回答
5

我会编写一个自定义 UDF,在 C 或 Delphi 或您使用的任何高级工具中实现光线投射算法:

编写 UDF 的链接
这里是 MySQL gis 实现的源代码,它在球体上查找点(使用它作为模板来查看如何与 MySQL 中的空间数据类型进行交互)。
http://www.lenzg.net/archives/220-New-UDF-for-MySQL-5.1-provides-GIS-functions-distance_sphere-and-distance_spheroid.html

来自 MySQL 手册:
http ://dev.mysql.com/doc/refman/5.0/en/adding-functions.html

MS Visual C++ 的 UDF 教程
http://rpbouman.blogspot.com/2007/09/creating-mysql-udfs-with-microsoft.html

Delphi 中的UDF 教程:在 Delphi
中为 MySQL 创建 UDF

关于光线投射算法的源代码
伪代码:http:
//rosettacode.org/wiki/Ray-casting_algorithm drDobbs 中的文章(注意文章顶部的代码链接):http ://drdobbs.com /cpp/184409586
Delphi(实际上是 FreePascal): http: //www.cabiatl.com/mricro/raycast/

于 2011-10-03T20:57:53.983 回答
2

以防万一,一个接受 MULTIPOLYGON 作为输入的 MySQL 函数:http://forums.mysql.com/read.php ?23,286574,286574

DELIMITER $$

CREATE DEFINER=`root`@`localhost` FUNCTION `GISWithin`(pt POINT, mp MULTIPOLYGON) RETURNS int(1)
    DETERMINISTIC
BEGIN 

DECLARE str, xy TEXT; 
DECLARE x, y, p1x, p1y, p2x, p2y, m, xinters DECIMAL(16, 13) DEFAULT 0; 
DECLARE counter INT DEFAULT 0; 
DECLARE p, pb, pe INT DEFAULT 0; 

SELECT MBRWithin(pt, mp) INTO p; 

IF p != 1 OR ISNULL(p) THEN 
    RETURN p; 
END IF; 

SELECT X(pt), Y(pt), ASTEXT(mp) INTO x, y, str; 
SET str = REPLACE(str, 'POLYGON((',''); 
SET str = REPLACE(str, '))', ''); 
SET str = CONCAT(str, ','); 

SET pb = 1; 
SET pe = LOCATE(',', str); 
SET xy = SUBSTRING(str, pb, pe - pb); 
SET p = INSTR(xy, ' '); 
SET p1x = SUBSTRING(xy, 1, p - 1); 
SET p1y = SUBSTRING(xy, p + 1); 
SET str = CONCAT(str, xy, ','); 

WHILE pe > 0 DO 
    SET xy = SUBSTRING(str, pb, pe - pb); 
    SET p = INSTR(xy, ' '); 
    SET p2x = SUBSTRING(xy, 1, p - 1); 
    SET p2y = SUBSTRING(xy, p + 1); 

    IF p1y < p2y THEN SET m = p1y; ELSE SET m = p2y; END IF; 

    IF y > m THEN 
        IF p1y > p2y THEN SET m = p1y; ELSE SET m = p2y; END IF; 
        IF y <= m THEN 
            IF p1x > p2x THEN SET m = p1x; ELSE SET m = p2x; END IF; 
            IF x <= m THEN 
                IF p1y != p2y THEN 
                    SET xinters = (y - p1y) * (p2x - p1x) / (p2y - p1y) + p1x; 
                END IF; 
                IF p1x = p2x OR x <= xinters THEN 
                    SET counter = counter + 1; 
                END IF; 
            END IF; 
        END IF; 
    END IF; 

    SET p1x = p2x; 
    SET p1y = p2y; 
    SET pb = pe + 1; 
    SET pe = LOCATE(',', str, pb); 
END WHILE; 

RETURN counter % 2; 

END
于 2012-11-02T13:52:01.943 回答
2

回复 zarun 函数以在多边形内查找纬度/经度。

我有一个包含纬度/经度信息的属性表。所以我必须获取纬度/经度位于多边形纬度/经度内的记录(我从 Google API 获得的)。起初我很笨怎么使用 Zarun 功能。所以这里是它的解决方案查询。

  • 表:属性
  • 字段: id,纬度,经度,床等...
  • 询问:
SELECT id
FROM properties
WHERE myWithin(
    PointFromText(concat( "POINT(", latitude, " ", longitude, ")")),
    PolyFromText('POLYGON((37.628134 -77.458334,37.629867 -77.449021,37.62324 -77.445416,37.622424 -77.457819,37.628134 -77.458334))' )
) = 1 limit 0,50;

希望它能为像我这样的笨蛋节省时间;)

于 2013-10-26T17:38:30.027 回答
1

它现在是MySQL5.6.1更高版本的空间扩展。请参阅Docs中的function_st-contains

于 2013-02-19T10:35:28.903 回答
1

我想在多边形表上使用上面的 mywithin 存储过程,所以这里是执行此操作的命令。

使用 ogr2ogr 将包含多边形的 shapefile 导入 mysql 后,如下所示

ogr2ogr -f "mysql" MYSQL:"mydbname,host=localhost,user=root,password=mypassword,port=3306" -nln "mytablename" -a_srs "EPSG:4326" /path/to/shapefile.shp

然后你可以使用 MBRwithin 来预过滤你的表和 mywithin 来完成如下

DROP TEMPORARY TABLE IF EXISTS POSSIBLE_POLYS;
CREATE TEMPORARY TABLE POSSIBLE_POLYS(OGR_FID INT,SHAPE POLYGON);
INSERT INTO POSSIBLE_POLYS (OGR_FID, SHAPE) SELECT mytablename.OGR_FID,mytablename.SHAPE FROM mytablename WHERE MBRwithin(@testpoint,mytablename.SHAPE);

DROP TEMPORARY TABLE IF EXISTS DEFINITE_POLY;
CREATE TEMPORARY TABLE DEFINITE_POLY(OGR_FID INT,SHAPE POLYGON);
INSERT INTO DEFINITE_POLY (OGR_FID, SHAPE) SELECT POSSIBLE_POLYS.OGR_FID,POSSIBLE_POLYS.SHAPE FROM POSSIBLE_POLYS WHERE mywithin(@testpoint,POSSIBLE_POLYS.SHAPE);

@testpoint 的创建位置,例如,从

SET @longitude=120;
SET @latitude=-30;
SET @testpoint =(PointFromText( concat( "POINT(", @longitude, " ", @latitude, ")" ) ));
于 2012-06-07T21:15:36.390 回答
1

这是一个适用于 MULTIPOLYGONS 的版本(改编自 Zarun 的版本,仅适用于 POLYGONS)。

CREATE FUNCTION GISWithin(p POINT, multipoly MULTIPOLYGON) RETURNS INT(1) DETERMINISTIC 
BEGIN 
DECLARE n,i,m,x INT DEFAULT 0; 
DECLARE pX,pY,poly1X,poly1Y,poly2X,poly2Y DECIMAL(13,10); 
DECLARE ls LINESTRING; 
DECLARE poly MULTIPOLYGON;
DECLARE poly1,poly2 POINT; 
DECLARE result INT(1) DEFAULT 0; 
SET pX = X(p); 
SET pY = Y(p); 
SET m = NumGeometries(multipoly);
WHILE x<m DO 
SET poly = GeometryN(multipoly,x);
SET ls = ExteriorRing(poly); 
SET poly2 = EndPoint(ls); 
SET poly2X = X(poly2); 
SET poly2Y = Y(poly2); 
SET n = NumPoints(ls); 
WHILE i<n DO 
SET poly1 = PointN(ls, (i+1)); 
SET poly1X = X(poly1); 
SET poly1Y = Y(poly1); 
IF ( ( ( ( poly1X <= pX ) && ( pX < poly2X ) ) || ( ( poly2X <= pX ) && ( pX < poly1X ) ) ) && ( pY > ( poly2Y - poly1Y ) * ( pX - poly1X ) / ( poly2X - poly1X ) + poly1Y ) ) THEN 
SET result = !result; 
END IF; 
SET poly2X = poly1X; 
SET poly2Y = poly1Y; 
SET i = i + 1; 
END WHILE; 
SET x = x + 1;
END WHILE;
RETURN result; 
End; 
于 2014-05-08T04:18:45.597 回答