MongoDB Geospatial - Find all near points (couples) - mongodb

I've been wanting to find all nearby couples, who are in a radius of eachother lets say the radius is smaller than 15km. As i want to inform the users, who are at these locations, that they are close to eachother.
What is the most performant way of doing this. I think i'm going with MongoDB with geospatial indexes as this seems to be the best solution for my problem. But all the examples only speak of finding the nearest points with a given lat/long. I need to find all close couples, not of only one point.
Should I ran over all the different coordinates and find close ones or is there a better way of doing this?
Thanks

Related

Translating GPS coordinates to map tile-like structure

I'm a complete illiterate when it comes to working with geographical data, so bear with me.
For our application we will be tracking a fairly large amount of rapidly changing points on a map. It would be nice to be able to cache the location of these points in some kind of map-tile structure so it would be easy to find all points currently in the same tile or neighbouring tiles, making it easier to quickly determine the nearest neigbours and have special logic for specific tiles, etc.
Although we're working for one specific (but already large) location, it would be nice if a solution would scale to other locations as well. Since we would only cache tiles that concern the system, would just tiling the enitre planet be the best option? The dimensions of a tile would then be measured in arc seconds/minutes, or is that a bad idea?
We already work with Postgres and this seems like something that could be done with PostGIS (is this what rasters are?), but jumping in to the documentation/tutorials without knowing what exactly I'm looking for is proving difficult. Any ideas?
PostGIS is all that you need. It can store your points in any coordinate reference system, but you'll probably be using longitude/latitude. Are your points coming from a GPS device?
PostGIS uses GIST indexing, making the search for points close to a given point quite efficient. One option you might want to look at, seeing that you are interested in tiling, is to "geohash" your points. Basically, this turns an (X,Y) coordinate pair into a single "string" with a length depending on the level of partitioning. Nearby points will have the same geohash value (= 1 tile) and are then easily identified with standard database search tools. See this answer and related question for some more considerations and an example in PostgreSQL.
You do not want to look at rasters. These are gridded data, think aerial photography or satellite images, weather maps, etc.
But if you want a more specific answer you should give some more details:
How many points? How are they collected?
Do you have large clusters?
Local? Regional? Global?
What other data does this relate to?
Pseudo table structure? Data layout?
etc
More info = better answer
Cheers, hope you get your face back

Circular data entry in MongoDB

I am new to mongoDB and am interested in the geospatial data feature.
I know that it's possible to create data points and then use circular queries to see if the point is inside.
I don't want to do this though. I want to experiment by making a little game where the user has a 1-d point position on the earth and there are circular (2-d) data entries that are like explosion radius' or infection radius'. Then I want to be able to compute which explosions/infections (2-d) the user (1-d point) is being affected by.
Sorry if this sounds crazy. Let me know if this is even possible. I have seen that rethinkdb can do something like it, but I was hoping mongodb would too.

MongoDB storing a circle

Is it possible to store a circle on MongoDB? I want to store circles as collections, and be able to index them for searching. I know that the $geoWithin query is possible where one specifies a circle and retrieves points or now GeoJSON objects, but I want to be able to do the opposite. Somehow drawing a giant polygon with multiple points on a plane doesn't seem very attractive as a workaround, so I'm hoping that someone has something better.
I've searched on Google, but can't find anything. I know about storing polygons and linestring, which were introduced in MongoDB 2.3>, there are also some suggestions on the GeoJSON spec for defining circles.
I have also seen this question on SO,but the OP never came back to link to jira, or to update the answer if they found a solution.

Calculate nearest point of KML polygon for iPhone app

I have a series of nature reserves that need to be plotted, as polygon overlays, on a map using the coordinates contained within KML data. I’ve found a tutorial on the Apple website for displaying KML overlays on map instances.
The problem is that the reserves vary in size greatly - from a small pond right up to several hundred kilometers in size. As a result I can’t use the coordinates of the center point to find the nearest reserves. Instead I need to calculate the nearest point of the reserves polygon to find the nearest one. With the data in KML - how would I go about trying to achieve this?
I've only managed to find one other person ask this and no one had replied :(
Well, there are a couple different solutions depending on your needs. The higher the accuracy required, the more work required. I like Phil's meanRadius parameter idea. That would give you a rough idea of which polygon is closest and would be pretty easy to calculate. This idea works best if the polygons are "circlish". If the polygon are very irregular in shape, this idea loses it's accuracy.
From a math standpoint, here is what you want to do. Loop through all points of all polygons. Calculate the distance from those points to your current coordinate. Then just keep track of which one is closest. There is one final wrinkle. Imagine a two points making a line segment that is very long. You are located one meter away from the midpoint of the line. Well, the distance to these two points is very large, while, in fact you are very close to the polygon. You will need to calculate the distance from your coordinate to every possible line segment which you can do in a variety of manners which are outlined here:
http://www.worsleyschool.net/science/files/linepoint/distance.html
Finally, you need to ask yourself, am I in any polygons? If you're 10 meters away from a point on a polygon, but are, in fact, inside the polygon, obviously, you need to consider that. The best way to do that is to use a ray casting algorithm:
http://en.wikipedia.org/wiki/Point_in_polygon#Ray_casting_algorithm

Finding users close to you while the coordinates of you and others is free to change

I have a database with the current coordinates of every online user. With a push of a button the user can update his/her coordinates to update his current location (which are then sent off to server). The app will allow you to set the radius of a circle (where the user is in the center) in which you can see the other users on a map. The users outside the circle are discarded.
What is the optimal way to find the users around you?
1) The easiest solution is to find the distance between you and every user and then see if it's less than the radius. This would place the sever under unnecessarily great load as comparison has to be made with every user in the world. In addition, how would one deal with changes in the locations?
2) An improved way would be to only calculate and compare the distance with other users who have similar latitude and longitude. Again in order to be efficient, if the radius is decreased the app should only target users with even closer coordinates. This is not as easy as it sounds. If one were to walk around the North Pole with, say, 10m radius then every step around the circumference would equal to a change of 9 degrees longitude. Every step along the equator would be marginal. Still, even being very rough and assuming there aren't many users visiting the Poles I could narrow it down to some extent.
Any ideas regarding finding users close-by and how to keep them up to date would be much appreciated! :)
Andres
Very good practice is to use GeoHash concept (http://geohash.org/) or GeoModel http://code.google.com/p/geomodel/ (better for BigTable like databases). Those are efficient ways of geospatial searches. I encourage you to read some of those at links I have provided, but in few words:
GeoHash translates lon and lat to unique hash string, than you can query database through those hashes. If points are closer to each other similar prefix will bi longer
GeoModel is similar to GegoHash with that difference that hashed are squares with set accuracy. If square is smaller the hash is longer.
Hope I have helped you. But decision, which you will pick, is yours :).
Lukasz
1) you would probably need a two step process here.
a) Assuming that all locations go into a database, you can do a compare at the sql level (very rough one) based on the lat & long, i.e. if you're looking for 100m distances you can safely disregard locations that differ by more than 0.01 degree in both directions. I don't think your North Pole users will mind ;)
Also, don't consider this unnecessary - better do it on the server than the iPhone.
b) you can then use, for the remaining entries, a comparison formula as outlined below.
2) you can find a way to calculate distances between two coordinates here http://snipplr.com/view/2531/calculate-the-distance-between-two-coordinates-latitude-longitude/
The best solution currently, in my opinion, is to wrap the whole earth in a matrix. Every cell will cover a small area and have a unique identifier. This information would be stored for every coordinate in the database and it allows me to quickly filter out irrelevant users (who are very far away). Then use Pythagoras to calculate the distance between all the other users and the client.