This shows the building of the quadtree as points are added. The animation shows the traversal of the tree. A margin test is used to determine the good leaf to choose.
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August 29, 2015 14:04
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Building Quadtree
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<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<title>Quadtree</title> | |
<style> | |
.point { | |
fill: orange; | |
fill-opacity: 1; | |
stroke: brown; | |
} | |
.node { | |
fill: none; | |
stroke: #ccc; | |
shape-rendering: crispEdges; | |
} | |
.new { | |
stroke-width: 5px; | |
} | |
</style> | |
<body> | |
<script src="http://d3js.org/d3.v3.min.js"></script> | |
<script> | |
var width = 960, | |
height = 500, np,gp = 0; | |
var data = d3.range(35).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); | |
var _nodes = nodes(quadtree); | |
svg.selectAll(".node") | |
.data(_nodes) | |
.enter().append("rect") | |
.attr("class", "node") | |
.attr("x", function(d) { return d.x1; }) | |
.attr("y", function(d) { return d.y1; }) | |
.attr("width", function(d) { return d.width; }) | |
.attr("height", function(d) { return d.height; }); | |
var point = svg.selectAll(".point") | |
.data(data,function(d,i) { return i; }) | |
.enter().append("circle") | |
.attr("class", "point") | |
.attr("cx", function(d) { return d[0]; }) | |
.attr("cy", function(d) { return d[1]; }) | |
.attr("r", 4); | |
addPoint(); | |
function addPoint() { | |
var newPoint = [Math.random() * width, Math.random() * height]; | |
var cPoint; | |
data.push(newPoint); | |
quadtree.add(newPoint); | |
_nodes = nodes(quadtree); | |
var start = [0,0]; | |
cpoint = { xy: start, iteration:1,end:newPoint,id:gp}; | |
//cpoint.iteration = 0; | |
np = svg.selectAll(".point") | |
.data(data) | |
; | |
svg.selectAll(".node") | |
.data(_nodes) | |
.attr("x", function(d) { return d.x1; }) | |
.attr("y", function(d) { return d.y1; }) | |
.attr("width", function(d) { return d.width; }) | |
.attr("height", function(d) { return d.height; }) | |
.enter().append("rect") | |
.attr("class", "node") | |
.attr("x", function(d) { return d.x1; }) | |
.attr("y", function(d) { return d.y1; }) | |
.attr("width", function(d) { return d.width; }) | |
.attr("height", function(d) { return d.height; }); | |
var added = np.enter().append("circle") | |
.attr("class", "point") | |
.attr("cx", function(d) { return start[0]; }) | |
.attr("cy", function(d) { return start[1]; }) | |
.attr("r", 10); | |
searchNextCenter.iteration = 0; | |
searchNextCenter.finished = false; | |
searchNextCenter(cpoint.end[0],cpoint.end[1],_nodes[0],0); | |
added.transition().duration(400) | |
.attr("cx", function(d) { return cpoint.nextXY[0]; }) | |
.attr("cy", function(d) { return cpoint.nextXY[1]; }) | |
.each("end",function() | |
{ | |
console.log('s'); | |
cpoint.iteration = +1; | |
searchNextCenter.finished = false; | |
//TODO dont start from top node, restart from last node | |
searchNextCenter(cpoint.end[0],cpoint.end[1],_nodes[0],0); | |
chainTransition(this,cpoint); | |
}); | |
gp++; | |
} | |
function chainTransition(transition,cpoint) { | |
console.log("IT",transition,"TRANS",cpoint); | |
d3.select(transition).transition().duration(400) | |
.attr("cx", function(d) { return cpoint.nextXY[0]; }) | |
.attr("cy", function(d) { return cpoint.nextXY[1]; }) | |
.each("end",function(){ | |
cpoint.iteration = +1; | |
if (cpoint.final) { addPoint(); return }; | |
searchNextCenter.iteration = 0; | |
searchNextCenter.finished = false; | |
//TODO dont start from top node, restart from last node | |
searchNextCenter(cpoint.end[0],cpoint.end[1],_nodes[0],0); | |
chainTransition(this,cpoint); | |
}); | |
} | |
function searchNextCenter(x,y,node,depth) { | |
//console.log("==>",depth,node,x,y,cpoint,searchNextCenter.finished,gp); | |
if (node.point) console.log(node.point.x,x,(node.point.x==x)); | |
if (searchNextCenter.finished) return; | |
if (node.point && node.point[0] == x && node.point[1] == y ) { | |
console.log("FOUND POINT ??") | |
cpoint.nextXY = [x,y]; | |
searchNextCenter.finished = true; | |
cpoint.final = true; | |
return; | |
} else { | |
if (!node.visited[gp]) { | |
node.visited[gp] = true; | |
//console.log('Find something',node); | |
cpoint.nextXY = node.center; | |
searchNextCenter.finished = true; | |
return; | |
} else { | |
var kids = node.nodes; | |
var x1 = node.x1,x2=node.x2,y1=node.y1,y2=node.y2; | |
var rl = (2*x > x2+x1), bt = (2*y > y2+y1); | |
console.log(x,x1,y,y1); | |
// DIG de http://bl.ocks.org/patricksurry/6478178 | |
if (kids[bt*2+rl]) searchNextCenter(x, y,kids[bt*2+rl],depth); | |
if (kids[bt*2+(1-rl)]) searchNextCenter(x, y, kids[bt*2+(1-rl)],depth); | |
if (kids[(1-bt)*2+rl]) searchNextCenter(x, y, kids[(1-bt)*2+rl],depth); | |
if (kids[(1-bt)*2+(1-rl)]) searchNextCenter(x, y, kids[(1-bt)*2+(1-rl)],depth); | |
} | |
} | |
} | |
// Collapse the quadtree into an array of rectangles. | |
function nodes(quadtree) { | |
var nodes = []; | |
quadtree.visit(function(node, x1, y1, x2, y2) { | |
// en fait on peut pas rajouter les coordonées des rect directement, on les génère en visitant l'arbre | |
node.x1 = x1; | |
node.y1 = y1; | |
node.x2 = x2; | |
node.y2 = y2; | |
node.width = x2-x1; | |
node.height = y2-y1; | |
node.visited = {}; | |
node.center = [x1 + (x2-x1)/2, y1+(y2-y1)/2]; | |
nodes.push(node); | |
}); | |
return nodes; | |
} | |
// Find the nodes within the specified rectangle. | |
function _search(quadtree, x0, y0, x3, y3) { | |
quadtree.visit(function(node, x1, y1, x2, y2) { | |
var p = node.point; | |
if (p) { | |
p.scanned = true; | |
p.selected = (p[0] >= x0) && (p[0] < x3) && (p[1] >= y0) && (p[1] < y3); | |
} | |
return x1 >= x3 || y1 >= y3 || x2 < x0 || y2 < y0; | |
}); | |
} | |
</script> |
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