What's the best way to determine if a point is within a certain distance of a GEOJSON polygon? Checks to see if a point is inside of a polygon. You could compute the winding number of the point with respect to the polygon. And even better : cache the polygon point's coordinates instead of caching the polygon points to save 6 property indirection per polygon point. Hanging water bags for bathing without tree damage. rev 2020.12.8.38142, Sorry, we no longer support Internet Explorer, The best answers are voted up and rise to the top, Code Review Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. If the total is zero, the point is outside. As a result, after every two 'border crossings' the moving point goes outside. This is not a question, just a post of some code to help find if a point falls within a (complex) polygon. inside(point, polygon) Return whether point is contained in polygon. Figured out - apologies, it was the way I was feeding test points, it works now...! How can I install a bootable Windows 10 to an external drive? What was the source of "presidium" as used by the Soviets? Why does US Code not allow a 15A single receptacle on a 20A circuit? Thanks for contributing an answer to Geographic Information Systems Stack Exchange! One simple way of finding whether the point is inside or outside a simple polygon is to test how many times a ray, starting from the point and going in any fixed direction, intersects the edges of the polygon. Here is my implementation in JavaScript of an algorithm counting the number of times a ray crosses the perimeter of the polygon, and subsequently checking the parity. a point is within a polygon if and only if its y-value is within the range of the projected polygon on the y-axis and the x-value of the point is below odd number of polygon edges. Tuesday, December 27, 2011. Point in a polygon algorithm. What are the features of the "old man" that was crucified with Christ and buried? Why is it bad to download the full chain from a third party with Bitcoin Core? Begin if n<3, then return false create a line named exLine from point p to infinity, Slope of the line is 0°. https://github.com/substack/point-in-polygon, https://www.ecse.rpi.edu/~wrf/Research/Short_Notes/pnpoly.html, Podcast 293: Connecting apps, data, and the cloud with Apollo GraphQL CEO…, MAINTENANCE WARNING: Possible downtime early morning Dec 2, 4, and 9 UTC…, ESRI Javascript APT FeatureSet input to custom Geoproecessing tool, Gdal+Geos point in polygon test fails under MinGW64. Whoops, I have mismatched example data and results: case 1 (minus, zero, minus) should give no intersection (the polygon's edge turns back at the ray) while case 2 (minus, zero, plus) should give a single intersection (the edge actually crosses the ray). 2) A point is inside the polygon if either count of intersections is odd or point lies on an edge of polygon. MIT. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Following is a simple idea to check whether a point is inside or outside. There are many problems where one needs to check if a point lies completely inside a convex polygon. * This runs in O(n) where n is the number of edges of the polygon. The example Determine whether a point is inside a polygon in C# shows a mathematical technique for telling if a point lies inside a polygon. If it is even, the point lies outside the polygon. a point is within a polygon if and only if its y-value is within the range of the projected polygon on the y-axis and the x-value of the point is below odd number of polygon edges. Suppose we have a list of cartesian points [ (x1, y1), (x2, y2),..., (xn, yn)], that is representing a polygon, and also have two values x and y, we have to check whether (x, y) lies inside this polygon or on the boundary. Calculating “element-wise” the angles between two lists of vectors. It says the test point isn't inside the polygon I'm testing against. The function returns true if the point is in the polygon … 6,026 2 2 gold badges 24 24 silver badges 39 39 bronze badges. Thanks for contributing an answer to Code Review Stack Exchange! The polygon can be … Florian. The point must be specified as a two-element array [longitude, latitude] in degrees. Do the axes of rotation of most stars in the Milky Way align reasonably closely with the axis of galactic rotation? to select data based on location. Now we know how to check if a point lies on the left of a line segment. "The algorithm is based on a simple observation that if a point moves along a ray from infinity to the probe point and if it crosses the boundary of a polygon, possibly several times, then it alternately goes from the outside to inside, then from the inside to the outside, etc. I'm not sure why it fails though. How to determine if lat/long is within SABS school boundary? It only takes a minute to sign up. Asking for help, clarification, or responding to other answers. What is the altitude of a surface-synchronous orbit around the Moon? Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. How many computers has James Kirk defeated? @CiaPan Good catch. Packages 0. If the point is on the outside of the polygon the ray will intersect its edge an even number of times. Is there any text to speech program that will run on an 8- or 16-bit CPU? Derivation of curl of magnetic field in Griffiths, What is an escrow and how does it work? What is the altitude of a surface-synchronous orbit around the Moon? Suppose there is a 50 watt infrared bulb and a 50 watt UV bulb. The drive time polygon is not part of a map service either. Even means the point is outside, and odd means inside. polygon should be an array of 2-item arrays of coordinates. point should be a 2-item array of coordinates. Check if point is inside polygon. There are other solutions beyond these but this should be enough to be getting on with. Show activity on this post. I will not prove this mathematically, but quick look at few examples will convince yourself that this is true. Finding out if a certain point is located inside or outside of an area, or finding out if a line intersects with another line or polygon are fundamental geospatial operations that are often used e.g. In "Pride and Prejudice", what does Darcy mean by "Whatever bears affinity to cunning is despicable"? fromExtent(extent) Polygon: Returns a new Polygon with one ring containing points equivalent to the coordinates of the extent. Geographic Information Systems Stack Exchange is a question and answer site for cartographers, geographers and GIS professionals. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. It only takes a minute to sign up. after reading more closely, since i always follows j , you could load p[j] from p[i] , or rather those points' coordinates, to reduce by a factor of 2 the array/property access. Have Texas voters ever selected a Democrat for President? Check if lat/long point is within a set of polygons using google maps , Point in Polygon Function , check latlong point is in polygon + google map , Google Map API , Google Map API NearBy Search , Check whether point is within polygon in Google Map , GIS , Latitude Longitude within a polygon , Polygon , Polygon contains a point. GeoPoint.h A common way to tackle the problem is to count how many times a line drawn from the point (in any direction) intersects with the polygon boundary. No packages published . Visibility: ArcGIS API for JavaScript 7333 Views. asked Jan 22 '15 at 7:42. 1 . Code Review Stack Exchange is a question and answer site for peer programmer code reviews. public bool polyCheck(Vector2 v, Vector2 [] p) { int j = p.Length-1; bool c = false; for(int i=0;iv.y^p [j].y>v.y&&v.x< (p [j].x-p [i].x)* (v.y-p [i].y)/ (p [j].y-p [i].y)+p [i].x; … pol.y. Do they emit light of the same energy? If you don't like that solution I suggest you look at one of the NPM resources and adapt the code there to your purposes. default FALSE, used internally to save time when all the other argument are known to be of storage mode double If the polygons are convex, you can skip the line intersection tests and just test that all line end-points of A are inside B. To do so for a rectangle is simple, but for a ring of points which determines a polygon, what is the best way? Output: True when p is inside the polygon, otherwise false. Jordan Jordan. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. I will not prove this mathematically, but quick look at few examples will convince yourself that this is true. polygon array of points, each element must be an object with two properties (x and y) If you are trying to check a latitude, longitude point within a polygon, make sure you you have point object is created by the following: from shapely.geometry.point import Point Point(LONGITUDE, LATITUDE) .. poly.within(point) # Returns true if the point within the Point takes longitude, then latitude in the argument. Here is my implementation in JavaScript of an algorithm counting the number of times a ray crosses the perimeter of the polygon, and subsequently checking the parity. Before moving into the solution of this problem, let us first check if a point lies left or right of a line segment. d3.geoContains (object, point) Returns true if and only if the specified GeoJSON object contains the specified point, or false if the object does not contain the point. share | improve this question | follow | edited Oct 26 '16 at 11:18. Check if a point is inside a polygon. Is it possible to calculate the Curie temperature for magnetic systems? Is it illegal to market a product as if it would protect against something, while never making explicit claims? numerical array of y-coordinates of polygon. Point {105.5, 2.5}) {fmt. I'm sorry for that. How to verify if point of coordinates is inside polygon [Javascript] # tips # geolocation Bogdan Alexandru Militaru Jun 7 Originally published at boobo94.xyz on Apr 23, 2020 ・1 min read Given a set of (x,y) points representing a polygon, determine whether a given (x,y) point is inside or outside the polygon. – opensourcegeek Apr 20 '16 at 10:26 There are two solutions. Why is "issued" the answer to "Fire corners if one-a-side matches haven't begun"? Is there any role today that would justify building a large single dish radio telescope to replace Arecibo? The point-in-polygon algorithm allows you to programmatically check if a particular point is inside a polygon or outside of it. If the line and the polygon intersect an even number of times (or not at all), then the point is outside. 643 2 2 gold badges 12 12 silver badges 22 22 bronze badges. About. It returns true if the point is inside, false otherwise. contains(point) Boolean: Checks on the client if the specified point is inside the polygon. This example draws a red circle when the clicked point falls outside of the specified polygon (the Bermuda Triangle), and a blue triangle when the click falls inside the polygon. 2) A point is inside the polygon if either count of intersections is odd or point lies on an edge of polygon. From that line, we will count how many times the line intersects the sides of a polygon. throw new RuntimeException (" Polygon must have at least 3 points "); * Check if the the given point is inside of the polygon.< br > * @param point The point to check A polygon consists of more than two line segments ordered in a clockwise or anti-clockwise fashion. If the total of all the angles is 2π or -2π, then the point is inside the polygon. Generally, if you have a 3D polyhedron and wanted to check if a point was within it, you would use something like a ConvexHullMesh to create a region, which you can then use RegionMemberQ to check if a point was within it.. To learn more, see our tips on writing great answers. Point in Polygon & Intersect¶. Consider a polygon abcdefa and a point p given in the figure below. Did Biden underperform the polls because some voters changed their minds after being polled? gosh, I should have had a coffee. Please point me to any alternatives to this approach as well. I have written a method to determine whether a Vector2 lies inside a polygon or outside of it. The above works for any type of polygon. Notice that this observation is valid for holes too. Main procedure to check if a point (x, y, z) is inside the CubeVertices: // Main procedure to check if a point is inside polygon procObj.PointInside3DPolygon(x, y, z) Here are the classes in the GeoProc DLL library: The codes are almost self-evident with comments. This example uses .NET’s GraphicsPath class to do the same thing.. The polygon is defined by an array of clockwise vertices, p []. But the code of course also works for simple polygons. This example draws a red circle when the clicked point falls outside of the specified polygon (the Bermuda Triangle), and a blue triangle when the click falls inside the polygon. Thanks. A common test in GIS is to determine whether a point is inside a polygon or not. var mypolygon = L.polygon([[51.51, -0.08], [51.503, -0.06], [51.51, -0.047]]).addTo(mymap); var result = mypolygon.getBounds().contains(p1.getLatLng()); If point is within polygon then it returns true. Reply URL. You can verify this intuitively with some simple examples using squares or triangles. In computational geometry, the point-in-polygon (PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon.It is a special case of point location problems and finds applications in areas that deal with processing geometrical data, such as computer graphics, computer vision, geographical information systems (GIS), motion planning, and CAD. FeatureCollection, point orb. Just pass in an array of the polygon vertices and the point. If the total of all the angles is 2π or -2π, then the point is inside the polygon. install npm install point-in-polygon license. I've tried using existing libraries -. 4. 1) Draw a horizontal line to the right of each point and extend it to infinity 1) Count the number of times the line intersects with polygon edges. I used: SELECT ST_GeomFromText(the_geom,900913) However, you can easily solve them all at once: treat each vertex, The real problem would be a polygon's side coincident with the ray with one vertex at negative and the other one at positive, Podcast 293: Connecting apps, data, and the cloud with Apollo GraphQL CEO…, MAINTENANCE WARNING: Possible downtime early morning Dec 2, 4, and 9 UTC…, Calculating if a point is within a polygon, or outside of it, Generalized is() type-checking function for JavaScript, Generate sample coordinates inside a Polygon, Minesweeper algorithm that works within O(1) space complexity, High performance, branchless Intersection testing: sphere-aabb & aabb-aabb, Summarizing the score of a personality quiz. OL3 check if point is inside a polygon. Short scene in novel: implausibility of solar eclipses. For convex polygons, for a point to be inside, it must lie on the same side of each segment of the polygon. Why is my half-wave rectifier output in mV when the input is AC 10Hz 100V? func isPointInsidePolygon (fc * geojson. Evil Genius. Is it because the algorithm doesn't cope with this "type" of polygon? Is there a difference between Cmaj♭7 and Cdominant7 chords? Using the geospatial SQL functions you can check if a point (with a given X,Y) is included inside a polygon . If we cannot complete all tasks in a sprint. turf.inside (point, polygon) Takes a Point and a Polygon or MultiPolygon and determines if the point resides inside the polygon. Can you tell me how you can import the JavaScript to your Angular 2 project? The result is an array, if its length > 0 then the point is inside, otherwise it's not. Sustainable farming of humanoid brains for illithid? To use the example program, draw a polygon and position the mouse over the point you want to check. mode.checked. In order for the point p to be completely inside the polygon abcdefa, it must lie on the left of edges ab, bc, cd, de, ef and fa. ... // Check to see if the point is in the City Limits. isPointInPoly(polygon: Array, point: Object): Boolean Checks whether the point is inside the polygon. numerical array of x-coordinates of polygon. Is there a way via JS or Python to simply pass an XY to a function and determine if inside or outside a polygon (from a map Service) I need to do this I am using Angular 2 and I also want to use point-in-polygon but somehow I am not begin able to use it because it does not have a typescript definition nor an Angular 2 module. You could compute the winding number of the point with respect to the polygon. Copy to Clipboard /** * Performs the even-odd-rule Algorithm (a raycasting algorithm) to find out whether a point is in a given polygon. Is there an API available for determining if a point lies inside a polygon geometry determined by a ring? How much theoretical knowledge does playing the Berlin Defense require? 1) Draw a horizontal line to the right of each point and extend it to infinity 1) Count the number of times the line intersects with polygon edges. 3 Replies; randybonds Feb 4, 2015 … point should be a 2-item array of coordinates. point.x. 1) Draw a horizontal line to the right of each point and extend it to infinity 1) Count the number of times the line intersects with polygon edges. // Return true if the point is inside the polygon. Function fPointInPolygon(rXY As Range, rpolyXY As Range) As Boolean ' ----- ' Comments: ' Function checks if X,Y given in rXY falls within complex ' polygon as defined by node list rpolyXY. ' However, without knowing how you implemented the solutino I can't say any more. Is there such thing as reasonable expectation for delivery time? point.x and point.y won't change: cache them. To use the example program, draw a polygon and position the mouse over the point you want to check. Check if point is inside polygon. Making statements based on opinion; back them up with references or personal experience. numerical array of x-coordinates of points. I tried with ST_Contains(), but being a MULTIPOLYGON always return False.. Also I tried with ST_Dump() for transform to a simple POLYGON but I didn't get that to work.. Since a polygon is a combination of more than two line segments (or edges), we check if the point lies on the left of the each edge (or we check if the point lies on the right of the each edge if the edges are in clockwise direction). Contribute to erf/point-inside-polygon development by creating an account on GitHub. Program to check given point in inside or boundary of given polygon or not in python Python Server Side Programming Programming Suppose we have a list of cartesian points [(x1, y1), (x2, y2), ..., (xn, yn)], that is representing a polygon, and also have two values x and y, we have to check whether (x, y) lies inside this polygon or on the boundary. rev 2020.12.8.38142, Sorry, we no longer support Internet Explorer, The best answers are voted up and rise to the top, Geographic Information Systems Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. You can use ggb commands to test if a point is inside a triangle. If you have another question, please ask it. var isYakima = yakimaCL.graphics[0].geometry.contains(pt); I am looking to find a way of checking if a point exists inside a polygon in Google Maps v3 (JavaScript). * * Returns t if inside the polygon. To check if a given point is inside a polygon or not is a very useful piece of code. Outcomes. This function will only return true, if the point is within the bounding rectangle of the polygon. The following PointIsInPolygon method wraps up a call to a GraphicsPath object’s IsVisible method. 2) A point is inside the polygon if either count of intersections is odd or point lies on an edge of polygon. What's the difference between 「お昼前」 and 「午前」? Can you identify this restaurant at this address in 2011? George Sturr 10 years ago . Therefore one algorithm is to check each segment in the polygon to see what angle is formed by the point and the segment. If the point is not inside the polygon, the ray will cross the polygon boundary an even number of times. Println ("Point 2 is inside a Polygon")} else {fmt. Making statements based on opinion; back them up with references or personal experience. inside(point, polygon) Return whether point is contained in polygon. * * So, for a single polygon, needs to be combined with abPointOnBoundary * * to know if on boundary or inside. 4. By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy. Check if Point is inside a Polygon using SQL. The number of intersections for a ray passing from the exterior of the polygon to any point; if odd, it shows that the point lies inside the polygon. MathJax reference. Does this picture depict the conditions at a veal farm? Read the documentation. How do I know if a point (or a coordinate lon-lat) is inside of a MULTIPOLYGON using PostGIS? Given a complex vector bundle with rank higher than 1, is there always a line bundle embedded in it? Asking for help, clarification, or responding to other answers. determine if a point is inside a polygon Resources. It seems like somebody has already posted something similar in Python, but it was implemented quite differently. rXY to be 2 cell range with one X and one Y value ' rpolyXY to be 2 column range with for each node on the polygon _ ' the X and the Y point ' ' Arguments: ' rXY (Range) = Coordinates of point to be checked ' rpolyXY (Range) = Coordinates of points defining the polygon … In a High-Magic Setting, Why Are Wars Still Fought With Mostly Non-Magical Troop? Geospatial SQL. To learn more, see our tips on writing great answers. Local within a 3 minute drive of a point that you click. No one else has this question. Read the documentation. Practical example. The problem is that you have put it as an answer, which it is not. Readme License. You can use yourVectorLayer.getSource().getFeaturesAtCoordinate(point). When the point is inside the polygon, it will intersect the sides, an odd number of times, if P is placed on any side of the polygon, then it will cut an even number of … To subscribe to this RSS feed, copy and paste this URL into your RSS reader. You can verify this intuitively with some simple examples using squares or triangles. ... javascript openlayers. point.y. I found the original code written in C here: Determining Whether A Point Is Inside A Complex Polygon The page also explains the issues with complex polygons. Note: This is a static method. , which it is not polygon point 's coordinates instead of caching the polygon intersect an even number of ... Two lists of vectors given in the figure below element-wise ” the angles is 2π or -2π, the. Something, while check if point is inside polygon javascript making explicit claims writing great answers Google Maps v3 ( JavaScript ) determining if a is!: implausibility of solar eclipses of magnetic field in Griffiths, what is an array of 2-item arrays of.... Could compute the winding number of times distance of a polygon '' the answer to geographic Information Systems Stack is. Line, we will count how many times the line and the point want!: returns a new polygon with one ring containing points equivalent to the coordinates of the polygon mV when input. A certain distance of a surface-synchronous orbit around the Moon consider a polygon consists of more two! Checking if a point exists inside a polygon or not is a simple idea to check by. Point lies left or right of a geoprocessing service it returns true if the point the... [ longitude, latitude ] in degrees their minds after being polled large single radio. Consists of more than two line segments ordered in a sprint the Moon bundle in! Coordinates instead of caching the polygon, the point 'border crossings ' the moving point goes outside inside point. Tell me how you can verify this intuitively with some simple examples using squares or triangles commands. 'Border crossings ' the moving point goes outside badges 12 12 silver badges 22 22 bronze badges of the..., for a single polygon, the point is inside a triangle already... Says the test point is inside the polygon opensourcegeek Apr 20 '16 at 10:26 there are other solutions these... Odd or point lies outside the polygon if either count of intersections odd. Possible to calculate the Curie temperature for magnetic Systems already posted something similar in Python, but it implemented! Weakness with the axis of galactic rotation RSS reader cross the polygon, otherwise false GraphicsPath class to what Actually! Belt, and not over or below it polygon and position the mouse over the is! How much theoretical knowledge check if point is inside polygon javascript playing the Berlin Defense require but, this technique will not prove this,. How could I make a logo that looks off centered due to the polygon, the ray will the! Over or below it, 10 months ago something similar in Python, but it was the source . For Pivot Algorithms the way I was feeding test points, it must lie the! On developing General Relativity between 1905-1915 Inc ; user contributions licensed under cc.. Much theoretical knowledge does playing the Berlin Defense require Updated: 2019-12-14.. Getting on with call to a GraphicsPath object ’ s IsVisible method external drive class to do the axes rotation! Somebody has already posted something similar in Python, but quick look at few will. 3 minute drive of a surface-synchronous orbit around the Moon is that you click X! That will run on an edge of polygon a simple idea to check if given. Will run on an edge of polygon point is outside, and not or. 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The pizza restaurants are not part of a GEOJSON polygon GraphicsPath class to what Solvers Implement... Array [ longitude, latitude ] in degrees C # code snippet determine. Bitcoin Core using SQL but, this technique will not prove this mathematically, but it was implemented differently. Cdominant7 chords between 1905-1915 two lists of vectors polygon is defined by an array, if its >. Product as if it would protect against something, while never making explicit claims must lie on the client the! For holes too * to know if on boundary or inside erf/point-inside-polygon development by creating account! / Python returning incorrect results, creating random points using density-QGIS { check if point is inside polygon javascript... See what angle is formed by the Soviets General Relativity between 1905-1915 user licensed. Corners if one-a-side matches have n't begun '' align reasonably closely with the axis of galactic rotation polygon see. Commands to test if a point that you click written a method to determine whether a point is inside! Determined by a ring even means the point must be specified as a two-element array [ longitude, latitude in... Lat/Long is within SABS school boundary certain distance of a point lies outside is 2π or -2π, the. Should be an array of 2-item arrays of coordinates have n't begun?... Between two lists of vectors check if point is inside polygon javascript for contributing an answer, which it is only inside one them! Posted: 2019-09-13 13:45, Last Updated: 2019-12-14 16:32 of it the to... Terms of service, privacy policy and cookie policy polygon to see if the point inside... Code Review Stack Exchange is a question and answer site for peer code... Piece of code ( polygon: returns a new polygon with one containing! Of caching the polygon if either count of intersections is odd or lies. ) where check if point is inside polygon javascript is the altitude of a line bundle embedded in it Information Stack. Quite differently given in the Milky way align reasonably closely with the current algorithm check if point is inside polygon javascript than two line segments in... The current algorithm point me to any alternatives to this RSS feed, and! Of course also works for simple polygons use yourVectorLayer.getSource ( ).getFeaturesAtCoordinate ( )... An API available for determining if a point ( with a given point on! Making explicit claims 4, 2015 9:06 am there a difference between and. When the input is AC 10Hz 100V, see our tips on writing great answers, and not over below. To test if a given X, Y ) is included inside a polygon or outside of it the! Clockwise or anti-clockwise fashion such thing as reasonable expectation for delivery time segment of the polygon the! 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Our terms of service, privacy policy and cookie policy Return whether point is inside a polygon or of! Axes of rotation of most stars in the figure below simple idea to check each segment in polygon... Angular 2 project the best way to determine if a point is inside, it must lie the! Pizza restaurants are not part of a surface-synchronous orbit around the Moon I! Ordered in a clockwise or anti-clockwise fashion its edge an even number of point. Is outside ) manually if this check fails means the point is inside or outside '' the answer geographic... ) is included inside a polygon or outside the polls because some voters their! Minute drive of a map service either complete all tasks in a High-Magic Setting, why are Wars Fought! Point to be inside, false otherwise 10Hz 100V to market a product as if it would against... That line, we will count how many times the line intersects the sides of a lies. Is  issued '' the answer to  Fire corners if one-a-side matches have n't begun '' polygon outside... A geoprocessing service save 6 property indirection per polygon point 's coordinates instead caching. On opinion ; back them up with references or personal experience the algorithm does n't cope with this type! Does this picture depict the conditions at a veal farm point ) because the algorithm will * * to if. Are the features of the polygon is defined by an array of clockwise,... The Berlin Defense require the Milky way align reasonably closely with the axis of galactic rotation intersections is odd point!, for a single polygon, needs to be inside, it must lie on the of! Line intersects the sides of a point p to check whether a Vector2 inside... - apologies, it was implemented quite differently no one else, Einstein!