Bonjour !

@pierstoval

Alex Rock

Training consultant @SensioLabs

& Tech Lead at Studio Agate

Why a map?

A medieval world with horrific and gothic overtones

A table-top role-playing game

4 music albums

A board game (the Black Rose)

And more to come...

Shadows of Esteren

The genesis of a "map" application

What IS a map?

Constraints

Marker: {x,y}

Route: [ {x₀, y₀}, {x₁, y₁} ]

Zone: [ {x₀, y₀}, {x₁, y₁}, {x₂, y₂} ]

○ MarkerType

○ RouteType

○ ZoneType

○ TransportSpeedModifier
○ TransportType

"start" marker

"end" marker

Existing map providers

Proprietary

Baidu Maps ; Bing Maps ; Bhuvan ; Google Maps ; HERE WeGo ; Map World ; Mappy ; MapQuest ; Qwant Maps ; ViaMichelin ; WikiMapia ; etc.

Public domain

OpenStreetMap ; OpenSeaMap

But...

🌍

These are all for the Earth... 😭

Okay, let's find a way to create a CUSTOM IMAGINARY map.

Tools to build maps

Backend renderer:

Osmarender: Converts OSM file into SVG with an XML stylesheet
Mapnik: Very advanced solution using PostGIS with tons of features
+ A web-application to publish it online
+ Maybe other tools I have not heard about...

Data Provider:

Well... Any database, but maybe PostgreSQL + PostGIS is the best for this purpose

Front-end renderer:

LeafletJS is the best option!

Tools that I used

Backend renderer:

PHP/Symfony web application
ImageMagick to create map tiles from an image
Entities and database managed with Doctrine
Frontend assets compiled with Gulp.js

Data Provider:

A simple MySQL database

Front-end renderer:

LeafletJS is the best option!
Did you read the previous slide? 😉

Reminder:

The previously indicated tools are not the best options

(except Leaflet which is awesome)

Please use Mapnik + PostgreSQL + PostGIS + Leaflet.

Don't hurt yourself like I did.

Advantages to this stack

Symfony is good for programming

The web part is straightforward

I ~~struggled~~ learnt about relations & perfs with MySQL

Well, LeafletJS 🍃

I learnt ImageMagick ✨, graph theory, map & coordinate science...

Reimplemented Dijkstra algorithm in PHP

MySQL has support for geographical data, but I didn't know that back then.
Doctrine has no native support for geographical types. Some extensions exist, but they use PostGIS.
Implementing Dijkstra algorithm in PHP has a cost in terms of performances.
Since it's PHP, I had to find a proper way to send all data to Leaflet for front-end rendering. It also has a cost.

Disdvantages to this stack

Technical details

Shortest path problem

Source: https://en.wikipedia.org/wiki/Shortest_path_problem

Shortest path problem

Source: https://en.wikipedia.org/wiki/Shortest_path_problem

Dijkstra, most known, works with non-negative weights, lots of implementations.
Bellman–Ford, can handle negative weights.
A*, most known for games, can handle huge graphs.
Floyd–Warshall's algorithm, Johnson's algorithm, Viterbi algorithm...

Solving algorithms:

Shortest path problem

Source: https://en.wikipedia.org/wiki/A*_search_algorithm

A* algorithm

Shortest path problem

Source: https://en.wikipedia.org/wiki/Dijkstra%27s_algorithm

Dijkstra's algorithm

Let's pick this one!

Calculate coordinates

Map coordinates system & projection

Source: https://en.wikipedia.org/wiki/Map_projection

Map coordinates system & projection

Source: https://en.wikipedia.org/wiki/Map_projection

Map coordinates system & projection

Source: https://en.wikipedia.org/wiki/Map_projection

Most famous: Mercator projection

Map coordinates system & projection

Source: https://en.wikipedia.org/wiki/Raster_graphics

Solution for us:

bitmap-like

In a 10×10 2D space:

x = 0 → left

x = 10 → right

y = 0 → top

y = 10 → bottom

Frontend rendering

with LeafletJS

🍃

LeafletJS:

Awesome docs!

Easy to set up

// Matches a #map selector
var containerId = 'map';

var map = L.map(containerId);

// This is for OpenStreetMap's default map layer
L.tileLayer('https://{s}.tile.openstreetmap.org/{z}/{x}/{y}.png').addTo(map);

// Add a marker on the map
var marker = L.marker([51.5, -0.09]).addTo(mymap);

// Add a polygon on the map
var polygon = L.polygon([[51.509, -0.08], [51.503, -0.06],[51.51, -0.047]]).addTo(mymap);

// Add a multipoint line on the map
var polyline = L.polyline([[51.509, -0.08], [51.51, -0.047]]).addTo(mymap);

Map coordinates system & projection

By default, Leaflet uses Spherical Mercator projection, and uses mathematical rules to calculate distances & coordinates

L.CRS.EPSG3857 = Util.extend({}, Earth, {
    code: 'EPSG:3857',
    projection: SphericalMercator,
    transformation: (function() {
        var scale = 0.5 / (Math.PI * SphericalMercator.R);
        return toTransformation(scale, 0.5, -scale, 0.5);
    }())
});

export var SphericalMercator = {

    R: 6378137,
    MAX_LATITUDE: 85.0511287798,

    project: function(latlng) {
        var d = Math.PI / 180,
            max = this.MAX_LATITUDE,
            lat = Math.max(Math.min(max, latlng.lat), -max),
            sin = Math.sin(lat * d);

        return new Point(
            this.R * latlng.lng * d,
            this.R * Math.log((1 + sin) / (1 - sin)) / 2);
    },

    unproject: function(point) {
        var d = 180 / Math.PI;

        return new LatLng(
            (2 * Math.atan(Math.exp(point.y / this.R)) - (Math.PI / 2)) * d,
            point.x * d / this.R);
    },

    bounds: (function() {
        var d = 6378137 * Math.PI;
        return new Bounds([-d, -d], [d, d]);
    })()
};

Map coordinates system & projection

Simplify all the things!

L.CRS.XY = L.Util.extend({}, L.CRS.Simple, {
    code: 'XY',
    projection: L.Projection.LonLat,
    transformation: new L.Transformation(1, 0, 1, 0)
});

This tells LeafletJS to calculate coordinates on an [x,y] simple 2D system

But that's not finished...

Map coordinates system & projection

By default, LonLat projection (classic 2D) is still similar to Mercator in a point:

y = 0 is bottom

y = 10 is top

Let's reverse this!

L.LatLngBounds.prototype.extend = function (obj) {
    if (!obj) { return this; }

    var latLng = L.latLng(obj);
    if (latLng !== null) {
        obj = latLng;
    } else {
        obj = L.latLngBounds(obj);
    }

    if (obj instanceof L.LatLng) {
        if (!this._southWest && !this._northEast) {
            this._southWest = new L.LatLng(obj.lat, obj.lng);
            this._northEast = new L.LatLng(obj.lat, obj.lng);
        } else {
            // Here we set "max" instead of "min" in the original code
            this._southWest.lat = Math.max(obj.lat, this._southWest.lat);
            this._southWest.lng = Math.min(obj.lng, this._southWest.lng);

            // Here we set "min" instead of "max" in the original code
            this._northEast.lat = Math.min(obj.lat, this._northEast.lat);
            this._northEast.lng = Math.max(obj.lng, this._northEast.lng);
        }
    } else if (obj instanceof L.LatLngBounds) {
        this.extend(obj._southWest);
        this.extend(obj._northEast);
    }
    return this;
};

Only the 2 lines after each comment are custom.

The rest is copy/pasted from Leaflet.

Backend & data source

Creating image tiles

Original map is 5433×4252 pixels wide.

I opted for 5 zoom levels.

With Leaflet, it's interpreted like this:

Zoom level 1 = "farthest" (tiny map)
Zoom level 5 = "closer" (original map size)

The higher the zoom, the more details you want on your map.

Determine zoom levels

zoom ratio = \frac{100}{2^{max-current}}

zoom ratio = \frac{100}{2^{max-current}}

Equation to get the ratio for a given level:

6.25 %
12.5 %
25 %
50 %
100 %

Ratios for 5 zoom levels:

Determine zoom levels

ImageMagick commands:

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "3.125%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/0.jpg"

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "6.25%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/1.jpg"

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "12.5%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/2.jpg"

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "25%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/3.jpg"

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "50%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/4.jpg"

magick convert original_map.jpg 
    -background "#000000" -extent "5433x5433" -resize "100%" -crop 168x168 
    -background "#000000" -extent "168x168" -thumbnail "168x168" "output/$MAP_ID/5.jpg"

Side-note

ImageMagick options "-extent", "-resize", "-thumbnail" and "-crop" need a "geometry" argument.

Sources:

https://www.orbitale.io/2016/03/25/gist-regular-expression-for-imagemagick-geometry.html

https://gist.github.com/Pierstoval/eac8d182d2c51c93202f

I made a regex for that:

(?<size>(?<w>(?:\d*(?:\.\d+)?)?%?)?(?:x(?<h>(?:\d*(?:\.\d+)?)?%?))?)(?<aspect>[!><@^])?(?<offset>(?<x>[+-]\d*(?:\.\d+)?)?(?<y>[+-]\d*(?:\.\d+)?)?)

https://github.com/Orbitale/ImageMagickPHP/blob/master/ReferenceClasses/Geometry.php#L106-L148

(and an additionnal validator for non-regex-related checks)

Determine zoom levels

$ tree maps_tiles/$MAP_ID/
75 directories, 1498 files

👍

ImageMagick output needs some sorting/renaming to be integrated in LeafletJS as a map tile layer.

And after that:

Want a glimpse of the rendering?

Merci !

@pierstoval

Building Interactive Maps

with PHP and JavaScript

Building Interactive Maps with PHP and JavaScript

More from Alex Rock