Quadtree Search

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license: gpl-3.0

README.md

This demonstrates finding the closest point to the mouse by searching a quadtree. As you descend into the quadtree, you track the closest point yet found and avoid searching cells that cannot contain closer points. Importantly, you must descend preferentially into closer cells so as to restrict the search more quickly.

Patrick Surry implemented a similar solution months earlier!

d3.js

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index.html

<!DOCTYPE html>
<meta charset="utf-8">
<title>Quadtree</title>
<style>

.point {
  fill: #999;
  stroke: #fff;
}

.point.scanned {
  fill: orange;
  fill-opacity: 1;
  stroke: brown;
}

.point.selected {
  fill: red;
  fill-opacity: 1;
}

.node {
  fill: none;
  stroke: #ccc;
  shape-rendering: crispEdges;
}

.overlay {
  fill: none;
  pointer-events: all;
}

</style>
<body>
<script src="d3.js"></script>
<script>

var width = 960,
    height = 500;

var data = d3.range(2500).map(function() {
  return [Math.random() * width, Math.random() * height];
});

var quadtree = d3.geom.quadtree()
    .extent([[-1, -1], [width + 1, height + 1]])
    (data);

var svg = d3.select("body").append("svg")
    .attr("width", width)
    .attr("height", height);

svg.selectAll(".node")
    .data(nodes(quadtree))
  .enter().append("rect")
    .attr("class", "node")
    .attr("x", function(d) { return d.x0; })
    .attr("y", function(d) { return d.y0; })
    .attr("width", function(d) { return d.y1 - d.y0; })
    .attr("height", function(d) { return d.x1 - d.x0; });

var point = svg.selectAll(".point")
    .data(data)
  .enter().append("circle")
    .attr("class", "point")
    .attr("cx", function(d) { return d[0]; })
    .attr("cy", function(d) { return d[1]; })
    .attr("r", 4);

svg.append("rect")
    .attr("class", "overlay")
    .attr("width", width)
    .attr("height", height)
    .on("mousemove", mousemoved);

function mousemoved() {
  point.each(function(d) { d.scanned = false; });
  var p = quadtree.find(d3.mouse(this));
  point.classed("scanned", function(d) { return d.scanned; });
  point.classed("selected", function(d) { return d === p; });
}

// Collapse the quadtree into an array of rectangles.
function nodes(quadtree) {
  var nodes = [];
  quadtree.visit(function(node, x0, y0, x1, y1) {
    node.x0 = x0, node.y0 = y0;
    node.x1 = x1, node.y1 = y1;
    nodes.push(node);
  });
  return nodes;
}

</script>

thumbnail.png

1) Trying to understand "mousemoved" and how points can become "scanned"
point.each(function(d) { d.scanned = false; }); => so for each datum, scanned is false

How can point.classed("scanned", function(d) { return d.scanned; }); return something else than false.

I see orange points, so obviously I'm missing something. Thanks for your help.

2) wondering whether x and y have not been mixed here
.attr("width", function(d) { return d.y1 - d.y0; }) // and not x
.attr("height", function(d) { return d.x1 - d.x0; }); // and not y