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Last active April 27, 2016 09:55
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Non-overlapping regions through collision detection
Raw
index.css
svg {
/*background: #E0F2F4;*/
}
.leaf_region {
fill: red;
opacity: 0.7;
}
circle {
fill: none;
stroke: brown;
stroke-width: 0.3px;
}
Raw
index.html
<!DOCTYPE html>
<html>
<head>
<meta charset="utf-8">
<script src="http://d3js.org/d3.v3.min.js"></script>
<script src="http://d3js.org/queue.v1.min.js"></script>
<script src="http://d3js.org/topojson.v1.min.js"></script>
<link rel="stylesheet" type="text/css" href="index.css">
<title>Non-overlapping regions through collision detection</title>
</head>
<body>
<script src="ontology.js"></script>
<script src="index.js"></script>
</body>
</html>
Raw
index.js
var width = 960,
height = 500,
padding = 0.5,
maxRadius = 10,
n = 200,
map = {};
/* Projection
*/
var CELL_RADIUS = 0.1,
SIMPLIFICATION = 15;
dx = CELL_RADIUS * 2 * Math.sin(Math.PI / 3);
dy = CELL_RADIUS * 1.5;
path_generator = d3.geo.path().projection(d3.geo.transform({
point: function(x, y, z) {
if (z >= SIMPLIFICATION) {
return this.stream.point(x * dx / 2, -(y - (2 - (y & 1)) / 3) * dy / 2);
}
}
}));
/* Map drawing
*/
queue()
.defer(d3.json, 'ontology.json')
.defer(d3.json, 'map.topo.json')
.await(function(error, ontology_data, data) {
if(error)
throw error;
ontology.init(ontology_data);
_preprocess(data);
nodes = topojson.feature(data, data.objects.leaf_regions).features;
nodes.forEach(function(d) {
d.cx = d.properties.node.x;
d.cy = d.properties.node.y;
d.x = d.cx;
d.y = d.cy;
d.radius = Math.sqrt(d.properties.node.area);
});
var svg = d3.select("body").append("svg")
.attr("width", width)
.attr("height", height)
.attr("viewBox", "-300 -20 600 150");
var zoom_layer = svg.append('g');
svg.call(d3.behavior.zoom().scaleExtent([0.6, 600]).on('zoom', function() {
zoom_layer.attr({
transform: "translate(" + d3.event.translate + ")scale(" + d3.event.scale + ")"
});
}));
var map_layer = zoom_layer.append('g');
/* Regions
*/
var node_drag = d3.behavior.drag()
.on("dragstart", function() {force.stop();})
.on("drag", function(d) {
d.px += d3.event.dx;
d.py += d3.event.dy;
d.x += d3.event.dx;
d.y += d3.event.dy;
tick({alpha: 0}); // this is the key to make it work together with updating both px,py,x,y on d !
})
.on("dragend", function() {});
var region = map_layer.selectAll('.leaf_region')
.data(nodes);
var enter_region = region.enter().append('path')
.attr("class", 'leaf_region')
.attr("d", path_generator)
.call(node_drag);
/* Circles
*/
var circle = map_layer.selectAll("circle")
.data(nodes);
var enter_circle = circle.enter().append("circle")
.attr('class', 'node');
enter_circle
.attr("r", function(d) { return d.radius; })
.attr("cx", function(d) { return d.cx; })
.attr("cy", function(d) { return d.cy; });
var force = d3.layout.force()
.nodes(nodes)
.size([width, height])
.gravity(.02)
.charge(0)
.on('tick', tick)
.on('end', function() {
console.log('File loaded correctly.');
})
.start();
force.alpha(.05);
function tick(e) {
region
.each(gravity(.2 * e.alpha))
.each(collide(.5))
.attr("transform", function(d) {return "translate(" + (d.x - d.cx) + ", " + (d.y - d.cy) + ")";});
circle
.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; });
}
// Resolve collisions between nodes.
function collide(alpha) {
var quadtree = d3.geom.quadtree(nodes);
return function(d) {
var r = d.radius + maxRadius + padding,
nx1 = d.x - r,
nx2 = d.x + r,
ny1 = d.y - r,
ny2 = d.y + r;
quadtree.visit(function(quad, x1, y1, x2, y2) {
if (quad.point && (quad.point !== d)) {
var x = d.x - quad.point.x,
y = d.y - quad.point.y,
l = Math.sqrt(x * x + y * y),
r = d.radius + quad.point.radius + padding;
if (l < r) {
l = (l - r) / l * alpha;
d.x -= x *= l;
d.y -= y *= l;
quad.point.x += x;
quad.point.y += y;
}
}
return x1 > nx2 || x2 < nx1 || y1 > ny2 || y2 < ny1;
});
};
}
// Move nodes toward cluster focus.
function gravity(alpha) {
return function(d) {
d.y += (d.cy - d.y) * alpha;
d.x += (d.cx - d.x) * alpha;
};
}
function print_nodes() {
return nodes.map(function(d) {
return {"id": d.properties.class, "x": d.x, "y": d.y, "cx": d.cx, "cy": d.cy}
});
}
});
_preprocess = function(data) {
var geometries, _merge;
map.leaf_regions = topojson.feature(data, data.objects.leaf_regions).features;
geometries = data.objects.leaf_regions.geometries;
/* parse paths into arrays, and extract the class of each leaf region
*/
map.leaf_regions.forEach(function(f) {
f.properties.path = JSON.parse(f.properties.path);
return f.properties["class"] = f.properties.path[f.properties.path.length - 1];
});
/* presimplify the topologies (compute the effective area (z) of each point)
*/
topojson.presimplify(data);
/* store all leaf_regions into the ontology tree, and store each node within the feature's properties
*/
map.leaf_regions.forEach(function(f) {
var n;
n = ontology.get_node_from_class(f.properties["class"]);
n.leaf_region = f;
return f.properties.node = n;
});
/* compute merged regions from leaf regions
*/
_merge = function(n, depth) {
n.merged_region = topojson.merge(data, geometries.filter(function(g) {
return g.properties.path.length > depth && g.properties.path[depth] === n.name;
}));
if (n.children != null) {
return n.children.forEach(function(c) {
return _merge(c, depth + 1);
});
}
};
_merge(ontology.tree, 0);
/* compute all region centroids
*/
ontology.nodes.forEach(function(n) {
var _ref;
return _ref = path_generator.centroid(n.merged_region), n.x = _ref[0], n.y = _ref[1], _ref;
});
/* compute all region areas
*/
ontology.nodes.forEach(function(n) {
return n.area = path_generator.area(n.merged_region);
});
/* define readable, plural, multiline labels for level one regions
*/
_readable_labels = {};
ontology.nodes.forEach(function(d) {
_readable_labels[d.name] = d.name.split("/").slice(-1)[0].split("_");
});
ontology.levels[1].forEach(function(n) {
return n.readable_label = _readable_labels[n.name];
});
return ontology.leaves.forEach(function(n) {
if (n.depth > 1 && (n.leaf_region != null)) {
return n.readable_label = _readable_labels[n.name];
}
});
};
Display the source blob
Display the rendered blob
Raw
map.topo.json
{"type":"Topology","objects":{"leaf_regions":{"type":"GeometryCollection","geometries":[{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/content_rating\"]"},"arcs":[[-1,-2,-3,-4]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_costume_designer\"]"},"arcs":[[-5,-6,-7,-8]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_collection\"]"},"arcs":[[-9,-10,-11]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/writer\"]"},"arcs":[[-12,-13,-14]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_series\"]"},"arcs":[[-15,-16,-17,-18,-19]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/content_rating_system\"]"},"arcs":[[-20,-21,-22,-23,-24]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_film_distributor_relationship\"]"},"arcs":[[-25,-26,-27,-28]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_cut\"]"},"arcs":[[-29,-30,11,-31,-32]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_festival_sponsor\"]"},"arcs":[[-33,-34,-35,-36,-37,-38]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_film_company_relationship\"]"},"arcs":[[23,-39,-40,-41,-42]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/dubbing_performance\"]"},"arcs":[[-43,0,-44,37,-45]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/personal_film_appearance\"]"},"arcs":[[-46,-47,-48,-49,-50,-51]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_critic\"]"},"arcs":[[-52,16,-53,-54]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_company\"]"},"arcs":[[6,-55,-56,-57,-58,35,-59,-60,-61,-62,-63,-64,-65]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_set_designer\"]"},"arcs":[[-66,-67,-68,14,-69]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_subject\"]"},"arcs":[[-70,-71,54,5,-72,-73,45,-74]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_art_director\"]"},"arcs":[[71,4,-75,-76,-77,-78]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_story_contributor\"]"},"arcs":[[46,72,77,-79]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/music_contributor\"]"},"arcs":[[-80,-81,-82,-83,-84,-85,73,50]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/director\"]"},"arcs":[[-86,-87,-88,-89,-90,31]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_festival_focus\"]"},"arcs":[[-91,-92,59]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_production_designer\"]"},"arcs":[[36,57,-93,-94,-95,44]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/production_company\"]"},"arcs":[[-96,-97,-98,83,-99]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_featured_song\"]"},"arcs":[[3,-100,20,-101,32,43]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_crew_gig\"]"},"arcs":[[13,-102,-103,-104,85,30]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_festival_event\"]"},"arcs":[[78,76,-105,-106,-107,47]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_crewmember\"]"},"arcs":[[-108,39,-109,-110]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film\"]"},"arcs":[[-111,-112,-113,-114]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/cinematographer\"]"},"arcs":[[-115,102,-116,95,-117]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_format\"]"},"arcs":[[33,100,19,41,-118,-119]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_theorist\"]"},"arcs":[[40,107,-120,117]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/actor\"]"},"arcs":[[113,-121,28,89,-122]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_job\"]"},"arcs":[[82,-123,116,98]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/oddlinker/interlink\"]"},"arcs":[[-124,110,121,88,-125,-126]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/personal_film_appearance_type\"]"},"arcs":[[-127,-128,10,-129]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/performance\"]"},"arcs":[[-130,111,123]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_screening_venue\"]"},"arcs":[[109,-131,-132,90,58,34,118,119]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/producer\"]"},"arcs":[[25,-133,79,49,-134]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_character\"]"},"arcs":[[87,-135,80,132,24,-136,124]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_awards_ceremony\"]"},"arcs":[[53,-137,1,42,94,-138]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_casting_director\"]"},"arcs":[[92,56,-139,68,18,-140]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_distributor\"]"},"arcs":[[17,51,137,93,139]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_regional_release_date\"]"},"arcs":[[-141,-142,74,7,64,-143]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_location\"]"},"arcs":[[97,-144,66,-145,69,84]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/untyped\"]"},"arcs":[[9,-146,-147,130,108,38,22,-148,26,133,48,106,-149,142,63,-150,128]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/film_distribution_medium\"]"},"arcs":[[145,8,127,-151,61,-152]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/oddlinker/linkage_run\"]"},"arcs":[[150,126,149,62]]},{"type":"Polygon","properties":{"path":"[\"Thing\", \"http://data.linkedmdb.org/resource/movie/country\"]"},"arcs":[[55,70,144,65,138]]},{"type":"Polygon","properties":{"path":"[\"Thing\", 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Raw
ontology.js
(function() {
window.ontology = {}
var _index = {}
ontology.init = function(data) {
ontology.tree = data;
// Create support structures for using the tree
_create_index = function(n) {
_index[n.name] = n;
if(n.hasOwnProperty('children'))
n.children.forEach(function(c){
_create_index(c);
});
}
_create_index(ontology.tree);
ontology.levels = [];
ontology.nodes = [];
ontology.leaves = [];
_parse_tree = function(n, depth) {
n.depth = depth;
ontology.nodes.push(n);
// create more levels if needed
if(ontology.levels.length <= depth)
ontology.levels.push([]);
ontology.levels[depth].push(n);
if(n.hasOwnProperty('children'))
n.children.forEach(function(c){
c.parent = n;
_parse_tree(c, depth+1);
});
if(!(n.hasOwnProperty('children')) || n.children.length === 0) {
ontology.leaves.push(n);
}
}
_parse_tree(ontology.tree, 0);
}
// Returns the correct path (sequence of classes ordered according to the ontology hierarchy) given a set of classes
ontology.get_path = function(classes) {
//classes = classes.map(function(c) { return c.value.replace("http://dbpedia.org/ontology/", ""); });
path = [];
classes.forEach(function(c){
var new_path = ontology.get_path_from_class(c);
if(new_path.length > path.length) // WARNING this works only because there are no entities with incompatible types (classes from different branches)
path = new_path;
});
return path;
}
// Returns the tree node corresponding to the given class
ontology.get_node_from_class = function(klass) {
return _index[klass];
}
// Returns the path corresponding to the given class
ontology.get_path_from_class = function(klass) {
var node = ontology.get_node_from_class(klass.value);
return ontology.get_path_from_node(node);
}
// Returns the path corresponding to the given node
ontology.get_path_from_node = function(n) {
if(!(n.hasOwnProperty('parent')))
return [n.name];
return ontology.get_path_from_node(n.parent).concat([n.name])
}
}).call(this);
Raw
ontology.json
{"name": "Thing", "children": [{"name": "http://data.linkedmdb.org/resource/movie/performance", "leaf_count": 197271, "children": []}, {"name": "http://data.linkedmdb.org/resource/oddlinker/interlink", "leaf_count": 162199, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/film", "leaf_count": 85620, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/actor", "leaf_count": 50603, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/film_cut", "leaf_count": 45259, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/writer", "leaf_count": 17335, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/film_crew_gig", "leaf_count": 17237, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/director", "leaf_count": 17156, "children": []}, {"name": "http://data.linkedmdb.org/resource/movie/film_character", "leaf_count": 15752, "children": []}, {"name": 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