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Last active October 16, 2017 18:50
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Quadtree Longitude Latitude

Rendering Natural Earth populated places by longitude and latitude using D3 quadtree and data joins. A quadtree can significantly reduce the number of data point comparisons. Using longitude and latitude for the quadtree x- and y- coordinates allows for scanning after map projections and zoom behaviors. The mouse extent searches the quadtree for nearby points. The search extent needs to be adjusted from xy min max to longitude latitude min max coordinates. Scanned points are marked orange. Selected points are marked red.

Press spacebar to toggle all places.
Pan and zoom the map with the mouse.

<!DOCTYPE html>
<html>
<head>
<meta charset='utf-8' />
<title>Quadtree Longitude Latitude</title>
<script src='https://cdnjs.cloudflare.com/ajax/libs/d3/4.10.0/d3.min.js'></script>
<script src='https://cdnjs.cloudflare.com/ajax/libs/topojson/3.0.0/topojson.min.js'></script>
</head>
<style>
body {
margin: 0;
overflow: hidden;
}
#stats {
position: absolute;
top: 10px;
left: 10px;
pointer-events: none;
text-shadow: #fc0 1px 0 10px;
}
.hidden {
display: none;
}
.land {
fill: #ccc;
}
.border {
fill: none;
stroke: #fff;
}
.point {
fill: blue;
}
.scanned.point {
fill: orange;
stroke: orange;
stroke-width: 4px;
}
.selected.point {
fill: red;
stroke: red;
stroke-width: 5px;
}
.brush {
fill: #000;
opacity: 0.4;
}
</style>
<body>
<div id="container"></div>
<div id="stats"></div>
<script>
var width = window.innerWidth,
height = window.innerHeight;
var svg = d3.select('#container').append('svg')
.attr('width', width)
.attr('height', height);
var g = svg.append('g');
var brush = svg.append('rect')
.attr('x', 100)
.attr('y', 100)
.attr('width', 100)
.attr('height', 100)
.attr('class', 'brush');
var projection = d3.geoMercator()
.translate([width / 2, height / 2]);
var path = d3.geoPath(projection)
.pointRadius(2);
var zoom = d3.zoom()
.scaleExtent([1, 1 << 5])
.on('zoom', zoomed);
var transform = d3.zoomTransform(svg.node());
var land,
border,
places;
var quadtree;
var spaceKey = false;
var origin = projection([0, 0]);
d3.json('world-110m.json', function(error, data) {
if (error) throw error;
land = topojson.merge(data, data.objects.countries.geometries);
border = topojson.mesh(data, data.objects.countries, function(a, b) { return a !== b; });
g.append('path')
.datum(land)
.attr('d', path)
.attr('class', 'land');
g.append('path')
.datum(border)
.attr('d', path)
.attr('class', 'border');
d3.json('places-10m.json', function(error, data) {
if (error) throw error;
places = topojson.feature(data, data.objects.places);
let lnglat = places.features.map(d => d.geometry.coordinates);
quadtree = d3.quadtree(lnglat);
let point = g.selectAll('.point')
.data(places.features)
.enter().append('path')
.attr('d', path)
.attr('class', 'point');
svg.call(zoom);
svg.on('mousemove', mousemoved);
});
});
document.addEventListener("keydown", keydown, false);
function mousemoved() {
if (spaceKey) return;
let m = d3.mouse(this),
bl = [m[0] - 50, m[1] + 50],
tr = [m[0] + 50, m[1] - 50],
lnglatbl = projection.invert([(bl[0] - transform.x) / transform.k, (bl[1] - transform.y) / transform.k]),
lnglattr = projection.invert([(tr[0] - transform.x) / transform.k, (tr[1] - transform.y) / transform.k]);
// check if brush extent spans across the antimeridian
if (lnglatbl[0] > lnglattr[0]) {
if (m[0] - transform.x >= origin[0]) {
lnglattr[0] += 360;
} else if (m[0] - transform.x < origin[0]) {
lnglatbl[0] -= 360;
}
}
// brush extent bounding box uses dimensions [[left, bottom], [right, top]]
brush
.attr('x', bl[0])
.attr('y', tr[1])
.classed('hidden', false);
let subset = search(quadtree, lnglatbl[0], lnglatbl[1], lnglattr[0], lnglattr[1]);
let point = g.selectAll('.point')
.data(subset, d => d);
point.enter().append('path')
.attr('d', d => path({ "type": "Point", "coordinates": [d[0], d[1]]}))
.attr('class', 'point')
.classed('scanned', d => d.scanned)
.classed('selected', d => d.selected);
point.classed('scanned', d => d.scanned);
point.classed('selected', d => d.selected);
point.exit().remove();
showStats();
}
function search(quadtree, x0, y0, x3, y3) {
let pts = [];
quadtree.visit(function(node, x1, y1, x2, y2) {
if (!node.length) { // is leaf
do {
var d = node.data; // node data bound to d.geometry.coordinates
d.scanned = true;
d.selected = (d[0] >= x0) && (d[0] < x3) && (d[1] >= y0) && (d[1] < y3);
if (d.scanned) pts.push(d);
} while (node = node.next);
}
return x1 >= x3 || y1 >= y3 || x2 < x0 || y2 < y0;
});
return pts;
}
function zoomed() {
brush.classed('hidden', true);
transform = d3.zoomTransform(this);
g.attr('transform', transform);
d3.selectAll('.border')
.attr('stroke-width', 1 / transform.k);
}
function showStats() {
document.getElementById("stats").innerHTML = "Total data points: " + quadtree.size() + "<br>"
+ "Scanned points: " + d3.selectAll('.scanned').size() + "<br>"
+ "Selected points: " + d3.selectAll('.selected').size();
}
function keydown(e) {
if (e.keyCode === 32) { // spacebar key
spaceKey = !spaceKey;
let point = g.selectAll('.point')
.data(places.features)
.enter().append('path')
.attr('d', path)
.attr('class', 'point');
}
showStats();
}
</script>
</body>
</html>
Display the source blob
Display the rendered blob
Raw
{"type":"Topology","bbox":[-179.58997888396897,-89.99999981438727,179.38330358817018,82.48332318035943],"transform":{"scale":[0.0035897687224086157,0.0017248504784522513],"translate":[-179.58997888396897,-89.99999981438727]},"objects":{"places":{"type":"GeometryCollection","geometries":[{"type":"Point","coordinates":[33916,32188],"properties":{"scalerank":10,"labelrank":8,"name":"Colonia del Sacramento","latitude":-34.48,"longitude":-57.84}},{"type":"Point","coordinates":[34177,32731],"properties":{"scalerank":10,"labelrank":8,"name":"Trinidad","latitude":-33.544,"longitude":-56.901}},{"type":"Point","coordinates":[33787,32966],"properties":{"scalerank":10,"labelrank":8,"name":"Fray Bentos","latitude":-33.139,"longitude":-58.304}},{"type":"Point","coordinates":[34349,32155],"properties":{"scalerank":10,"labelrank":8,"name":"Canelones","latitude":-34.538,"longitude":-56.284}},{"type":"Point","coordinates":[34369,32409],"properties":{"scalerank":10,"labelrank":8,"name":"Florida","latitude":-34.099,"longitude":-56.215}},{"type":"Point","coordinates":[50248,57548],"properties":{"scalerank":10,"labelrank":8,"name":"Bassar","latitude":9.261,"longitude":0.789}},{"type":"Point","coordinates":[50303,57139],"properties":{"scalerank":10,"labelrank":8,"name":"Sotouboua","latitude":8.557,"longitude":0.985}},{"type":"Point","coordinates":[52930,71542],"properties":{"scalerank":10,"labelrank":7,"name":"Medenine","latitude":33.4,"longitude":10.417}},{"type":"Point","coordinates":[52527,71711],"properties":{"scalerank":10,"labelrank":7,"name":"Kebili","latitude":33.69,"longitude":8.971}},{"type":"Point","coordinates":[52944,71311],"properties":{"scalerank":10,"labelrank":7,"name":"Tataouine","latitude":33,"longitude":10.467}},{"type":"Point","coordinates":[52870,73552],"properties":{"scalerank":10,"labelrank":7,"name":"L'Ariana","latitude":36.867,"longitude":10.2}},{"type":"Point","coordinates":[52466,73340],"properties":{"scalerank":10,"labelrank":7,"name":"Jendouba","latitude":36.5,"longitude":8.75}},{"type":"Point","coordinates":[52456,72596],"properties":{"scalerank":10,"labelrank":7,"name":"Kasserine","latitude":35.217,"longitude":8.717}},{"type":"Point","coordinates":[52675,72480],"properties":{"scalerank":10,"labelrank":7,"name":"Sdid Bouzid","latitude":35.017,"longitude":9.5}},{"type":"Point","coordinates":[52642,73098],"properties":{"scalerank":10,"labelrank":7,"name":"Siliana","latitude":36.083,"longitude":9.383}},{"type":"Point","coordinates":[53104,72751],"properties":{"scalerank":10,"labelrank":7,"name":"Mahdia","latitude":35.484,"longitude":11.041}},{"type":"Point","coordinates":[53028,72894],"properties":{"scalerank":10,"labelrank":7,"name":"Monastir","latitude":35.731,"longitude":10.767}},{"type":"Point","coordinates":[52855,73282],"properties":{"scalerank":10,"labelrank":7,"name":"Zaghouan","latitude":36.4,"longitude":10.147}},{"type":"Point","coordinates":[79598,58743],"properties":{"scalerank":10,"labelrank":5,"name":"Tay Ninh","latitude":11.323,"longitude":106.147}},{"type":"Point","coordinates":[78816,64782],"properties":{"scalerank":10,"labelrank":5,"name":"Luan Chau","latitude":21.74,"longitude":103.343}},{"type":"Point","coordinates":[79510,65010],"properties":{"scalerank":10,"labelrank":5,"name":"Bac Kan","latitude":22.133,"longitude":105.833}},{"type":"Point","coordinates":[79768,64844],"properties":{"scalerank":10,"labelrank":5,"name":"Lang Son","latitude":21.846,"longitude":106.757}},{"type":"Point","coordinates":[78974,64544],"properties":{"scalerank":10,"labelrank":5,"name":"Son La","latitude":21.328,"longitude":103.91}},{"type":"Point","coordinates":[79337,64828],"properties":{"scalerank":10,"labelrank":5,"name":"Tuyen Quang","latitude":21.818,"longitude":105.211}},{"type":"Point","coordinates":[79243,64762],"properties":{"scalerank":10,"labelrank":5,"name":"Yen Bai","latitude":21.705,"longitude":104.875}},{"type":"Point","coordinates":[79649,64320],"properties":{"scalerank":10,"labelrank":5,"name":"Hai 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Giang","latitude":10.235,"longitude":106.375}},{"type":"Point","coordinates":[79650,57938],"properties":{"scalerank":10,"labelrank":5,"name":"Tra Vinh","latitude":9.934,"longitude":106.334}},{"type":"Point","coordinates":[79547,58124],"properties":{"scalerank":10,"labelrank":5,"name":"Vinh Long","latitude":10.256,"longitude":105.964}},{"type":"Point","coordinates":[79631,65318],"properties":{"scalerank":10,"labelrank":5,"name":"Cao Bang","latitude":22.664,"longitude":106.268}},{"type":"Point","coordinates":[25712,60910],"properties":{"scalerank":10,"labelrank":8,"name":"Yoro","latitude":15.06,"longitude":-87.29}},{"type":"Point","coordinates":[25468,60488],"properties":{"scalerank":10,"labelrank":8,"name":"La Esperanza","latitude":14.333,"longitude":-88.167}},{"type":"Point","coordinates":[25602,60481],"properties":{"scalerank":10,"labelrank":8,"name":"La 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