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Point Tracking for Non-Linear Lines: III
Raw
README.md

What This Shows

Using data from the US Census, this visualization displays popular names that have historically been androgynous.

Technical

Control points are not intersected by the path for several non-linear interpolations for lines ("basis" in this case). Because of this, point tracking for non-linear lines should be calculated from the svg-path rather than from the d3-scales. Mike Bostock has two examples showing how to do this with a single path. This gist shows one approach for point tracking with multiple paths. Other approaches are shown here and here.

This approach saves precomputed closestPoints of each data point's linear coordinates respective to their parent path. The precomputation took 63.85 seconds (~0.16 seconds per point). What still remains for this gist is to automatically generate a precomputation file; it was manually constructed for this dataset.

Raw
index.html
<!DOCTYPE html>
<meta charset="utf-8">
<style>
body {
width: 960px;
margin: auto;
position: relative;
}
svg {
font: 11px "Helvetica Neue", Helvetica, Arial, sans-serif;
}
.axis path,
.axis line {
fill: none;
stroke: #000;
shape-rendering: crispEdges;
}
.axis--y path {
display: none;
}
.androgs {
fill: none;
stroke: #aaa;
stroke-linejoin: round;
stroke-linecap: round;
stroke-width: 1.5px;
}
.androg--hover {
stroke: #000;
}
.focus text {
text-anchor: middle;
text-shadow: 0 1px 0 #fff, 1px 0 0 #fff, 0 -1px 0 #fff, -1px 0 0 #fff;
}
.voronoi path {
fill: none;
pointer-events: all;
}
.voronoi--show path {
stroke: red;
stroke-opacity: .2;
}
#form {
position: absolute;
top: 20px;
right: 30px;
}
</style>
<label id="form" for="show-voronoi">
Show Voronoi
<input type="checkbox" id="show-voronoi" disabled>
</label>
<script src="http://d3js.org/d3.v3.js"></script>
<script>
var years,
yearFormat = d3.time.format("%Y");
var margin = {top: 20, right: 30, bottom: 30, left: 40},
width = 960 - margin.left - margin.right,
height = 500 - margin.top - margin.bottom;
var x = d3.time.scale()
.range([0, width]);
var y = d3.scale.linear()
.range([height, 0]);
var color = d3.scale.category20();
var voronoi = d3.geom.voronoi()
.clipExtent([[-margin.left, -margin.top], [width + margin.right, height + margin.bottom]]);
var line = d3.svg.line()
.interpolate("basis")
.x(function(d) { return x(d.date); })
.y(function(d) { return y(d.value); });
var svg = d3.select("body").append("svg")
.attr("width", width + margin.left + margin.right)
.attr("height", height + margin.top + margin.bottom)
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")");
d3.json("points.json", function(error_json, points) {
d3.csv("steady_andro.csv", type, function(error_csv, androgs) {
x.domain(d3.extent(years));
y.domain([0, d3.max(androgs, function(c) { return d3.max(c.values, function(d) { return d.value; }); })]).nice();
svg.append("g")
.attr("class", "axis axis--x")
.attr("transform", "translate(0," + height + ")")
.call(d3.svg.axis()
.scale(x)
.orient("bottom"));
svg.append("g")
.attr("class", "axis axis--y")
.call(d3.svg.axis()
.scale(y)
.orient("left")
.ticks(10, "%"))
.append("text")
.attr("x", 4)
.attr("dy", ".32em")
.style("font-weight", "bold")
.text("Percent Female");
svg.append("g")
.attr("class", "androgs")
.selectAll("path")
.data(androgs)
.enter().append("path")
.attr("d", function(d) { d.line = this;
return line(d.values);});
var focus = svg.append("g")
.attr("transform", "translate(-100,-100)")
.attr("class", "focus");
focus.append("circle")
.attr("r", 3.5);
focus.append("text")
.attr("y", -10);
// ------ Voronoi Section ------ //
d3.select("#show-voronoi")
.property("disabled", false)
.on("change", function() { voronoiGroup.classed("voronoi--show", this.checked); });
var keyFunction = null;
if (error_json != null && error_json.status == 404) {
voronoi
.x(function(d) { return x(d.date); })
.y(function(d) { return y(d.value); })
keyFunction = function(d) {
var p = closestPoint(d.androg.line, [x(d.date), y(d.value)]);
console.log(d.androg.name, d.date, p);
d.p = p;
return p[0] + "," + p[1];
}
} else {
voronoi
.x(function(d) { return points[d.androg.name][getUTCStringNoTime(d.date)].x })
.y(function(d) { return points[d.androg.name][getUTCStringNoTime(d.date)].y });
keyFunction = function(d) {
var x = points[d.androg.name][getUTCStringNoTime(d.date)].x;
var y = points[d.androg.name][getUTCStringNoTime(d.date)].y;
d.p = [x, y];
return x + "," + y;
}
}
var voronoiGroup = svg.append("g")
.attr("class", "voronoi");
voronoiGroup.selectAll("path")
.data(voronoi(d3.nest()
.key(function(d) { return keyFunction(d); })
.rollup(function(v) { return v[0]; })
.entries(d3.merge(androgs.map(function(d) { return d.values; })))
.map(function(d) { return d.values; })))
.enter().append("path")
.attr("d", function(d) { return "M" + d.join("L") + "Z"; })
.datum(function(d) { return d.point; })
.on("mouseover", mouseover)
.on("mouseout", mouseout);
function mouseover(d) {
d3.select(d.androg.line).classed("androg--hover", true);
d.androg.line.parentNode.appendChild(d.androg.line);
focus.attr("transform", "translate(" + d.p[0] + "," + d.p[1] + ")");
focus.select("text").text(d.androg.name + ": " + d.value.slice(0, 4));
}
function mouseout(d) {
d3.select(d.androg.line).classed("androg--hover", false);
focus.attr("transform", "translate(-100,-100)");
}
function getUTCStringNoTime(js_date) {
return js_date.toUTCString().split(' ').slice(0,4).join(' ')
}
});
});
function closestPoint(pathNode, point) {
var pathLength = pathNode.getTotalLength(),
numberOfItems = pathNode.getPathSegAtLength(pathLength),
precision = (pathLength / numberOfItems) * .5,
best,
bestLength,
bestDistance = Infinity;
// linear scan for coarse approximation
for (var scan, scanLength = 0, scanDistance; scanLength <= pathLength; scanLength += precision) {
if ((scanDistance = distance2(scan = pathNode.getPointAtLength(scanLength))) < bestDistance) {
best = scan, bestLength = scanLength, bestDistance = scanDistance;
}
}
// binary search for precise estimate
precision *= .5;
while (precision > .5) {
var before,
after,
beforeLength,
afterLength,
beforeDistance,
afterDistance;
if ((beforeLength = bestLength - precision) >= 0 && (beforeDistance = distance2(before = pathNode.getPointAtLength(beforeLength))) < bestDistance) {
best = before, bestLength = beforeLength, bestDistance = beforeDistance;
} else if ((afterLength = bestLength + precision) <= pathLength && (afterDistance = distance2(after = pathNode.getPointAtLength(afterLength))) < bestDistance) {
best = after, bestLength = afterLength, bestDistance = afterDistance;
} else {
precision *= .5;
}
}
best = [best.x, best.y];
best.distance = Math.sqrt(bestDistance);
return best;
function distance2(p) {
var dx = p.x - point[0],
dy = p.y - point[1];
return dx * dx + dy * dy;
}
}
function type(d, i) {
if (!i) years = Object.keys(d).map(yearFormat.parse).filter(Number);
var androg = {
name: d.name.replace(/ (msa|necta div|met necta|met div)$/i, ""),
values: null
};
androg.values = years.map(function(m) {
return {
androg: androg,
date: m,
value: d[yearFormat(m)]
};
});
return androg;
}
</script>
Raw
points.json
{
"Casey": {
"Tue, 01 Jan 1918": {
"y": 450.0,
"x": 254.11973571777344,
"distance": 0.1581266890773918
},
"Tue, 01 Jan 2008": {
"y": 245.16653442382812,
"x": 856.7642822265625,
"distance": 0.2880622369048242
},
"Sun, 01 Jan 1956": {
"y": 378.8654479980469,
"x": 510.10797119140625,
"distance": 4.053647746916236
},
"Tue, 01 Jan 1935": {
"y": 366.8467712402344,
"x": 367.2134704589844,
"distance": 0.8393464898368467
},
"Wed, 01 Jan 1896": {
"y": 450.0,
"x": 106.76775360107422,
"distance": 0.3004665809011584
},
"Sat, 01 Jan 1994": {
"y": 215.2664031982422,
"x": 762.5107421875,
"distance": 0.397174212908548
},
"Mon, 01 Jan 1979": {
"y": 256.4123840332031,
"x": 663.6236572265625,
"distance": 1.2219409684182212
},
"Sat, 01 Jan 1881": {
"y": 450.0,
"x": 6.868101119995117,
"distance": 0.1625965706106225
},
"Thu, 01 Jan 1976": {
"y": 311.1727294921875,
"x": 643.0322875976562,
"distance": 1.0689094597925706
},
"Sat, 01 Jan 1910": {
"y": 450.0,
"x": 201.0480499267578,
"distance": 0.30429761089465046
},
"Sun, 01 Jan 1933": {
"y": 383.2126770019531,
"x": 352.8169250488281,
"distance": 4.666262622097709
},
"Sat, 01 Jan 2000": {
"y": 222.1108856201172,
"x": 803.4461059570312,
"distance": 0.8550178591197722
},
"Sat, 01 Jan 1916": {
"y": 450.0,
"x": 241.00790405273438,
"distance": 0.1227296939711664
},
"Tue, 01 Jan 1974": {
"y": 289.57525634765625,
"x": 628.4247436523438,
"distance": 0.9079799658790891
},
"Fri, 01 Jan 1971": {
"y": 338.8214416503906,
"x": 606.7811279296875,
"distance": 2.5780216573027395
},
"Wed, 01 Jan 1964": {
"y": 377.985595703125,
"x": 561.556396484375,
"distance": 0.6324757658486391
},
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"y": 450.0,
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"distance": 0.04176227852750003
},
"Sun, 01 Jan 1995": {
"y": 200.39669799804688,
"x": 770.3958740234375,
"distance": 1.1886396507020425
},
"Tue, 01 Jan 1963": {
"y": 376.60638427734375,
"x": 555.729248046875,
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},
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"y": 237.93319702148438,
"x": 696.4959106445312,
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},
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},
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"y": 378.9527587890625,
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"x": 449.017333984375,
"distance": 1.9510302311183847
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"Thu, 01 Jan 1948": {
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"x": 453.2525939941406,
"distance": 2.2280047160500405
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"Thu, 01 Jan 1998": {
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"x": 787.7799072265625,
"distance": 2.913019564654091
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"Wed, 01 Jan 1958": {
"y": 376.8282165527344,
"x": 521.1226806640625,
"distance": 1.2392546190966933
},
"Sat, 01 Jan 2011": {
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"x": 875.955078125,
"distance": 3.3971034432247844
},
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"y": 228.63348388671875,
"x": 729.3836669921875,
"distance": 0.7516348191108904
},
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"y": 450.0,
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"y": 380.6653137207031,
"x": 462.4499206542969,
"distance": 7.343308713707168
},
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"y": 450.0,
"x": 19.979930877685547,
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"x": 500.8188171386719,
"distance": 4.959415261732983
},
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"y": 378.70550537109375,
"x": 407.4505615234375,
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},
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"x": 750.6175537109375,
"distance": 2.8505314645564344
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"y": 288.0851135253906,
"x": 622.5880737304688,
"distance": 1.3538577981876017
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"y": 450.0,
"x": 59.939788818359375,
"distance": 0.2998258220128136
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"y": 346.489501953125,
"x": 589.292724609375,
"distance": 0.6683678519820756
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"y": 213.7599639892578,
"x": 711.1275634765625,
"distance": 2.6686777203811167
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"y": 450.0,
"x": 207.29177856445312,
"distance": 0.13915725011315772
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"Fri, 01 Jan 1960": {
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"x": 534.170166015625,
"distance": 2.1588692263926244
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"x": 742.0426635742188,
"distance": 3.3396246391844198
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"Thu, 01 Jan 2004": {
"y": 249.29544067382812,
"x": 831.1373901367188,
"distance": 5.065957044716299
},
"Fri, 01 Jan 1943": {
"y": 387.74774169921875,
"x": 422.9244689941406,
"distance": 2.080936915308532
},
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"y": 366.2800598144531,
"x": 341.5661315917969,
"distance": 0.4893027634784579
},
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"y": 394.2738952636719,
"x": 293.0938720703125,
"distance": 5.877498909142211
},
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"y": 249.2179718017578,
"x": 669.4605102539062,
"distance": 0.6631152130720027
},
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"y": 448.2641296386719,
"x": 264.7641906738281,
"distance": 3.3695717264654084
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"y": 450.0,
"x": 221.02798461914062,
"distance": 0.20436075648675
},
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"y": 450.0,
"x": 26.848031997680664,
"distance": 0.08097695218681977
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"x": 380.00390625,
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"x": 582.644287109375,
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"x": 234.13980102539062,
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"x": 0.0,
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},
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},
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"x": 836.9485473632812,
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"x": 776.3678588867188,
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"x": 66.80789184570312,
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"x": 180.44374084472656,
"distance": 0.22013992434585816
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"x": 884.4006958007812,
"distance": 3.4610698791110956
},
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"x": 843.5352172851562,
"distance": 1.0178025600602614
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"x": 863.542724609375,
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},
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"x": 363.1541442871094,
"distance": 5.400755893701375
},
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"x": 247.87600708007812,
"distance": 0.2853281719304164
},
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"y": 230.1829376220703,
"x": 735.9447631835938,
"distance": 0.8014192573416621
},
"Sun, 01 Jan 1893": {
"y": 450.0,
"x": 86.7878189086914,
"distance": 0.2188507771746231
},
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"x": 849.6173706054688,
"distance": 0.2293650800770872
},
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"y": 376.10009765625,
"x": 574.7620239257812,
"distance": 0.7818298693889557
},
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"y": 380.2271728515625,
"x": 348.5063781738281,
"distance": 0.6431376981227838
},
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"y": 450.0,
"x": 93.65592193603516,
"distance": 0.037931248533979556
},
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"x": 308.4020080566406,
"distance": 4.696180016819711
},
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"x": 635.4120483398438,
"distance": 0.44340753403345656
},
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"x": 277.2760925292969,
"distance": 4.3513509378321205
},
"Tue, 01 Jan 2013": {
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"x": 889.5618286132812,
"distance": 0.6243701568308277
},
"Fri, 01 Jan 1892": {
"y": 450.0,
"x": 80.5440902709961,
"distance": 0.24292513451456443
},
"Fri, 01 Jan 1897": {
"y": 450.0,
"x": 113.63585662841797,
"distance": 0.13786810294189422
},
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"y": 229.60853576660156,
"x": 825.7000122070312,
"distance": 6.176443824716848
},
"Mon, 01 Jan 1900": {
"y": 18.57343864440918,
"x": 134.03565979003906,
"distance": 0.43990971759700864
}
}
}
Raw
steady_andro.csv
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