I am using d3 for visualizing gene networks using a fixed force-directed layout.
The graph contains rectangular / elliptic / round rectangular shaped nodes with markers at the end of links between those nodes. So far (and as I understand) those markers are positioned by refX and refX and thus follow a radial shape around the end of the path which links two nodes. Is there any way that I can define a "path" or marker in such a manner that the marker moves along the shape of the node instead of around this node with a fixed distance relative to the end of the path?
To illustrate my problem:
var graph = {
"nodes": [{
"name": "from",
"fixed": true,
x: 100,
y: 100,
w: 60,
h: 20
}, {
"name": "to",
"fixed": true,
x: 250,
y: 250,
w: 60,
h: 20
}],
"links": [{
"source": 0,
"target": 1
}]
}
var width = 960,
height = 500;
var force = d3.layout.force()
.charge(-120)
.linkDistance(300)
.size([width, height]);
var svg = d3.select("body").append("svg")
.attr("width", width)
.attr("height", height);
force.nodes(graph.nodes)
.links(graph.links)
.start();
var defs = svg.append("svg:defs");
var marker = defs.selectAll("marker");
marker = marker.data([{
"type": "arrow",
"d": "M0,-5L10,0L0,5L2,0",
"view": "0 -5 10 10",
"color": "#000000"
}])
.enter()
.append("svg:marker")
.attr("id", function(d) {
return d.type;
})
.attr("viewBox", function(d) {
return d.view;
})
.attr("refX", 30)
.attr("refY", 0)
.attr("markerWidth", 5)
.attr("markerHeight", 5)
.attr("orient", "auto");
marker.append("svg:path")
.attr("d", function(d) {
return d.d;
})
.style("fill", function(d) {
return d.color;
});
var link = svg.selectAll(".link")
.data(graph.links)
.enter().append("line")
.attr("class", "link")
.style("stroke-width", "5")
.attr("marker-end", "url(#arrow)");
var node = svg.selectAll(".node")
.data(graph.nodes)
.enter().append("rect")
.attr("class", "node")
.attr("width", function(d) {
return d.w;
})
.attr("height", function(d) {
return d.h;
})
.style("fill", "blue")
.call(force.drag);
node.append("title")
.text(function(d) {
return d.name;
});
force.on("tick", function() {
link.attr("x1", function(d) {
return d.source.x + d.source.w / 2;
})
.attr("y1", function(d) {
return d.source.y + d.source.h / 2;
})
.attr("x2", function(d) {
return d.target.x + d.target.w / 2;
})
.attr("y2", function(d) {
return d.target.y + d.target.h / 2;
})
node.attr("x", function(d) {
return d.x;
})
.attr("y", function(d) {
return d.y;
});
});
.node {
stroke: #fff;
stroke-width: 1.5px;
}
.link {
stroke: #999;
stroke-opacity: .6;
}
<script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.4.11/d3.min.js"></script>
JsFiddle example:
http://jsfiddle.net/millermaximilian/w3eq6ccc/
I am really thankful for any advice!
Max
There is no built in way. You can create the code to parameterize the location of the marker based on the mathematical definition of the shape. This is, fundamentally, what's going on when you set a marker to draw at X px from a node when that node is a circle, since mathematically it's just the radius. With a more complex shape, it's harder, though of course squares, rectangles and ellipses are still relatively easy to compute. With a complex svg:path shape, you could, I imagine, use some combination of path's built-in getPointAtLength and computing the angle from one node to another to do that, but I don't know of any implementations of any of the earlier examples, much less something like that.
Related
I have generated a Sankey diagram as shown above using d3 code (.js file) mentioned below [the .html and .css files are not quoted here].
Now I want the Sankey diagram to look like below with node "Technology" and "Strategy" appearing apart as a fourth level:
What are the necessary changes to be done in the D3 code?
var svg = d3.select("svg").attr("style", "outline: thin solid grey;"),
width = +svg.attr("width"),
height = +svg.attr("height");
var formatNumber = d3.format(",.0f"),
format = function(d) { return formatNumber(d) + " TWh"; },
color = d3.scaleOrdinal(d3.schemeCategory10);
var school = {"nodes": [
{"name":"High School"}, // 0
{"name":"Community College"}, // 1
{"name":"Finance"}, // 2
{"name":"Accounting"}, // 3
{"name":"ITS"}, // 4
{"name":"Marketing"}, // 5
{"name":"Analytics"}, // 6
{"name":"Security"}, // 7
{"name":"Consulting"}, // 8
{"name":"Banking"}, // 9
{"name":"Internal"}, // 10
{"name":"Securities"}, // 11
{"name":"Public"}, // 12
{"name":"Audting"}, // 13
{"name":"Internal"}, // 14
{"name":"Retail"}, // 15
{"name":"Technology"}, // 16
{"name":"Strategy"} // 17
],
"links":[
// FirstYear
{"source":0,"target":2,"value":33},
{"source":0,"target":3,"value":42},
{"source":0,"target":4,"value":74},
{"source":0,"target":5,"value":60},
// Community College
{"source":1,"target":2,"value":7},
{"source":1,"target":3,"value":13},
{"source":1,"target":4,"value":11},
{"source":1,"target":5,"value":9},
// Finance
{"source":2,"target":9,"value":16},
{"source":2,"target":10,"value":14},
{"source":2,"target":11,"value":10},
// Accounting
{"source":3,"target":12,"value":20},
{"source":3,"target":13,"value":12},
{"source":3,"target":7,"value":8},
{"source":3,"target":14,"value":15},
// Marketing
{"source":5,"target":6,"value":30},
{"source":5,"target":15,"value":39},
// ITS
{"source":4,"target":6,"value":40},
{"source":4,"target":7,"value":20},
{"source":4,"target":12,"value":6},
{"source":4,"target":8,"value":19},
// ITS Consulting
{"source":8,"target":16,"value":10},
{"source":8,"target":17,"value":9},
]};
var sankey = d3.sankey()
.nodeWidth(15)
.nodePadding(10)
.extent([[1, 1], [width - 1, height - 6]]);
var link = svg.append("g")
.attr("class", "links")
.attr("fill", "none")
.attr("stroke", "#000")
.attr("stroke-opacity", 0.2)
.selectAll("path");
var node = svg.append("g")
.attr("class", "nodes")
.attr("font-family", "sans-serif")
.attr("font-size", 10)
.selectAll("g");
sankey(school);
link = link
.data(school.links)
.enter().append("path")
.attr("d", d3.sankeyLinkHorizontal())
.attr("stroke-width", function(d) { return Math.max(1, d.width); });
// link hover values
link.append("title")
.text(function(d) { return d.source.name + " → " + d.target.name + "\n" + format(d.value); });
node = node
.data(school.nodes)
.enter().append("g");
node.append("rect")
.attr("x", function(d) { return d.x0; })
.attr("y", function(d) { return d.y0; })
.attr("height", function(d) { return d.y1 - d.y0; })
.attr("width", function(d) { return d.x1 - d.x0; })
.attr("fill", function(d) { return color(d.name.replace(/ .*/, "")); })
.attr("stroke", "#000");
node.append("text")
.attr("x", function(d) { return d.x0 - 6; })
.attr("y", function(d) { return (d.y1 + d.y0) / 2; })
.attr("dy", "0.35em")
.attr("text-anchor", "end")
.text(function(d) { return d.name; })
.filter(function(d) { return d.x0 < width / 2; })
.attr("x", function(d) { return d.x1 + 6; })
.attr("text-anchor", "start");
svg.append("text")
.attr("x", 10)
.attr("y", 30)
.attr("class", "graphTitle")
.text("STUDENT CHOICES");
svg.append("text")
.attr("x", width - 80)
.attr("y", height - 10)
.attr("class", "footnote")
.text("data is fictitious");
<script src="https://d3js.org/d3.v4.min.js"></script>
<script src="https://unpkg.com/d3-sankey#0"></script>
<svg width="600" height="500"></svg>
The alignment of d3.sankey can be configured using .nodeAlign(), and for your requirement, you will need .nodeAlign(d3.sankeyLeft)
If it is not specified, the alignment defaults to d3.sankeyJustify, which is what you are currently seeing.
https://github.com/d3/d3-sankey#alignments
For those who are looking for a quick ans. Have a nice day!
var sankey = d3.sankey()
.nodeWidth(15)
.nodePadding(10)
.nodeAlign(function (node) {
// you may specify the horizatonal location here
// i.e. if your data structure contain node.horizontalPosition (an integer)
// you can return node.horizontalPosition
return node.depth; //align left
})
.extent([[1, 1], [width - 1, height - 6]]);
I have created a stripped down JSFiddle of my D3 chart. I have made it responsive (with viewbox and preserveaspectratio) using the solution at:
responsive D3 chart
When I resize the window and make it smaller, some of the grid lines seem to be disappearing and reappearing. I presume this will look bad at small resolutions (eg. 320x480 mobile phone). Is there a way to preserve my gridlines when the window gets resized smaller?
HTML code:
<!--//d3 chart//-->
<div class="centre-div"></div>
CSS Code:
.centre-div {
margin: 0 auto;
max-width: 550px;
}
/* D3 chart css */
.axis path,
.axis line {
fill: none;
stroke: black;
shape-rendering: crispEdges;
}
.axis text {
font-family: sans-serif;
font-size: 11px;
}
JS code:
//function createScatterplot() {
//Width and height
var margin = {
top: 15,
right: 2,
bottom: 2,
left: 2
};
//define width and height as the inner dimensions of the chart area.
var width = 550 - margin.left - margin.right;
var height = 550 - margin.top - margin.bottom;
var padding = 10;
//define svg as a G element that translates the origin to the top-left corner of the chart area.
//add <svg> to the last <div class="centre-div"> tag on the html page
//this allows me to reuse the createScatterplot() function to draw multiple charts
var svg = d3.select(d3.selectAll(".centre-div")[0].pop()).append("svg")
//.attr("width", width + margin.left + margin.right)
//.attr("height", height + margin.top + margin.bottom)
//make svg responsive
.attr("width", "100%")
.attr("height", "100%")
.attr("viewBox", "0 0 550 550")
.attr("preserveAspectRatio", "xMidYMid meet")
.append("g")
.attr("transform", "translate(" + margin.left + "," + margin.top + ")");
//With this convention, all subsequent code can ignore margins.
//http://bl.ocks.org/mbostock/3019563
//Static dataset
var dataset = [
[5, -2, "A"],
[-4, -9, "B"],
[2, 5, "C"],
[1, -3, "D"],
[-3, 5, "E"],
[4, 1, "F"],
[4, 4, "G"],
[5, 7, "H"],
[-5, -2, "I"],
[0, 8, "J"],
[-6, -5, "K"]
];
//Create scale functions
var xScale = d3.scale.linear()
.domain([-10, 11])
.range([padding, width - padding * 2]);
var yScale = d3.scale.linear()
.domain([-10, 11])
.range([height - padding, padding]);
//different scale for gridlines, so last tick has no line
var xScale2 = d3.scale.linear()
.domain([-10, 10])
.range([padding, width - padding * 2]);
var yScale2 = d3.scale.linear()
.domain([-10, 10])
.range([height - padding, padding]);
//add arrowheads
defs = svg.append("defs")
defs.append("marker")
.attr({
"id": "arrow",
"viewBox": "-5 -5 10 10",
"refX": 0,
"refY": 0,
"markerWidth": 7, //marker size
"markerHeight": 7, //marker size
"orient": "auto"
})
.append("path")
.attr("d", "M 0,0 m -5,-5 L 5,0 L -5,5 Z")
.attr("fill", "#000");
//Define X axis
var xAxis = d3.svg.axis()
.scale(xScale)
.orient("bottom")
.ticks(22)
//Define Y axis
var yAxis = d3.svg.axis()
.scale(yScale)
.orient("left")
.ticks(22)
//create scatterplot crosses
svg.selectAll("line.diag1")
.data(dataset)
.enter()
.append("line")
.attr({
"class": "diag1",
"x1": function(d) {
return xScale(d[0]) - 4;
},
"y1": function(d) {
return yScale(d[1]) - 4;
},
"x2": function(d) {
return xScale(d[0]) + 4;
},
"y2": function(d) {
return yScale(d[1]) + 4;
},
"stroke": "#006CCA",
"opacity": "1",
"stroke-width": "2px"
});
svg.selectAll("line.diag2")
.data(dataset)
.enter()
.append("line")
.attr({
"class": "diag2",
"x1": function(d) {
return xScale(d[0]) + 4;
},
"y1": function(d) {
return yScale(d[1]) - 4;
},
"x2": function(d) {
return xScale(d[0]) - 4;
},
"y2": function(d) {
return yScale(d[1]) + 4;
},
"stroke": "#006CCA",
"opacity": "1",
"stroke-width": "2px"
});
//Create X axis
svg.append("g")
.attr("class", "axis")
.style("stroke-width", 2)
.attr("transform", "translate(0," + 11 * (height) / 21 + ")")
.call(xAxis)
//add x label
.append("text")
.attr("class", "label")
.attr("x", width)
.attr("y", 15)
.attr("font-style", "italic")
.attr("font-weight", "bold")
.style("text-anchor", "end")
.text("x");
//Create Y axis
svg.append("g")
.attr("class", "axis")
.style("stroke-width", 2)
.attr("transform", "translate(" + 10 * (width - padding) / 21 + ",0)")
.call(yAxis)
//add y label
.append("text")
.attr("class", "label")
.attr("x", -10)
.attr("y", -5)
.attr("font-style", "italic")
.attr("font-weight", "bold")
.style("text-anchor", "end")
.text("y");
//add arrowheads to axis ends
//add line on top of x-axis and arrowhead
svg.append("line")
.attr({
"x1": 0,
"y1": 11 * height / 21,
"x2": width - padding * 1.5,
"y2": 11 * height / 21,
"stroke": "black",
"stroke-width": "2px",
"marker-end": "url(#arrow)"
});
//add line on top of y-axis and arrowhead
svg.append("line")
.attr({
"x1": 10 * (width - padding) / 21,
"y1": height,
"x2": 10 * (width - padding) / 21,
"y2": 0.4 * padding,
"stroke": "black",
"stroke-width": "2px",
"marker-end": "url(#arrow)"
});
//Assuming that you have Mike Bostock's standard margins defined and you have defined a linear scale for the y-axis the following code will create horizontal gridlines without using tickSize().
//https://stackoverflow.com/questions/15580300/proper-way-to-draw-gridlines
//create horizontal grid lines
var gridwidth = 19 * width / 20;
var gridheight = 19 * height / 20;
svg.selectAll("line.horizontalGrid").data(yScale2.ticks(20)).enter()
.append("line")
.attr({
"class": "horizontalGrid",
"x1": 0,
"x2": gridwidth,
"y1": function(d) {
return yScale(d);
},
"y2": function(d) {
return yScale(d);
},
"fill": "none",
"shape-rendering": "crispEdges",
"stroke": "black",
"stroke-width": "1px",
"opacity": "0.3"
});
//create vertical gridlines
svg.selectAll("line.verticalGrid").data(xScale2.ticks(20)).enter()
.append("line")
.attr({
"class": "verticalGrid",
"y1": height - gridheight,
"y2": height,
"x1": function(d) {
return xScale(d);
},
"x2": function(d) {
return xScale(d);
},
"fill": "none",
"shape-rendering": "crispEdges",
"stroke": "black",
"stroke-width": "1px",
"opacity": "0.3"
});
//remove last ticks and zero ticks
svg.selectAll(".tick")
.filter(function(d) {
return d === 11;
})
.remove();
svg.selectAll(".tick")
.filter(function(d) {
return d === 0;
})
.remove();
//add a custom origin identifier
svg.append("text")
.attr({
"class": "origintext",
"x": 455 * width / 1000,
"y": 552 * height / 1000,
"text-anchor": "end",
"font-size": "65%"
})
.text("0");
//add labels to points plotted
svg.selectAll("textlabels")
.data(dataset)
.enter()
.append("text")
.text(function(d) {
return d[2];
})
.attr("x", function(d) {
return xScale(d[0]) + 5;
})
.attr("y", function(d) {
return yScale(d[1]) - 5;
})
.attr("font-weight", "bold")
.attr("font-size", "12px")
.attr("fill", "black");
//}
That is an aliasing effect which will occur because the way the lines will get rendered is influenced by various factors. The main three of them being stroke width, position and rendering mode. For using shape-rendering: crispEdges the SVG spec states:
To achieve crisp edges, the user agent might turn off anti-aliasing for all lines...
Depending on the scaling and the translation of the line it may be calculated to appear between two screen pixels while the scaled stroke width is not broad enough to color any of those adjacent screen pixels. That way the lines seem to randomly disappear and appear again.
Further explanations can be found in "Why is SVG stroke-width : 1 making lines transparent?" or in my answer to "Drew a straight line, but it is crooked d3".
For your code you can change the rendering behaviour by using shape-rendering: geometricPrecision instead of crispEdges when drawing the grid lines. Have a look at the updated JSFiddle for a working example.
In my case I simply solved this issue by setting "showMaxMin" to false.
lineChart.xAxis.showMaxMin(false).tickValues(xAxisTickValues).tickFormat(function (d) {
if (typeof d === 'string') {
d = parseFloat(d);
}
return d3.time.format("%d %b")(new Date(d));
});
My D3 circle pack looks like this: (also accesible via jsfiddle)
However, I would like the diagram to look like this: (don't pay attention on labels, or circle pack placement, they are not essential for my case; I meant just co show "3d" looks of circles, and their coloring)
What would be the good way to achieve this?
After #Delapouite answer, I put together another jsfiddle:
The key code is:
var data2 = pack.nodes(data);
var grads = svg.append("defs").selectAll("radialGradient")
.data(data2)
.enter()
.append("radialGradient")
.attr("gradientUnits", "objectBoundingBox")
.attr("cx", 0)
.attr("cy", 0)
.attr("r", "100%")
.attr("id", function(d, i) { return "grad" + i; });
grads.append("stop").attr("offset", "0%").style("stop-color", "white");
grads.append("stop").attr("offset", "100%").style("stop-color", "navy");
and
var circles = vis.append("circle")
.attr("stroke", "black")
.attr("fill", function(d, i) {
return !d.children ? "url(#grad" + i + ")" : "beige";
})
.attr("cx", function(d) { return d.x; })
.attr("cy", function(d) { return d.y; })
.attr("r", function(d) { return d.r; });
You can fake the 3D effect of each ball by applying a soft radial gradient to the fill property of the circles :
https://developer.mozilla.org/en-US/docs/Web/SVG/Tutorial/Gradients
I'm adapting the zoomable and clickable map found http://bl.ocks.org/mbostock/2206340 at to plot some points and do some other things. Right now, I'm trying to make it such that on the zoom and click actions, the plotted points also move / honor the zoom. I'm not sure what in the code here is wrong, since I seem to be calling the red.circle and blue.circle objects in the zoom + click -- can anyone identify the issue? Thanks! data.csv is formatted as follows:
lon_0,lat_0,lon_1,lat_1
-122.1430195,37.4418834,-122.415278,37.778643
-122.1430195,37.4418834,-122.40815,37.785034
-122.4194155,37.7749295,-122.4330827,37.7851673
-122.4194155,37.7749295,-122.4330827,37.7851673
-118.4911912,34.0194543,-118.3672828,33.9164666
-121.8374777,39.7284944,-121.8498415,39.7241178
-115.172816,36.114646,-115.078011,36.1586877
and here is the d3.js script.
.background {
fill: none;
pointer-events: all;
}
#states path {
fill: #aaa;
stroke: #fff;
stroke-width: 1.5px;
}
#states path:hover {
stroke: white;
}
</style>
<body>
<script>
var width = 1920/2,
height = 1000/2;
var projection = d3.geo.albersUsa()
.scale(width)
.translate([width / 2, height / 2]);
var path = d3.geo.path()
.projection(projection);
var zoom = d3.behavior.zoom()
.translate(projection.translate())
.scale(projection.scale())
.scaleExtent([height, 50 * height])
.on("zoom", zoom);
var svg = d3.select("body").append("svg")
.attr("width", width)
.attr("height", height)
.attr("style", "stroke:black; stroke-width:2px");
var states = svg.append("g")
.attr("id", "states")
.call(zoom);
var dataset = [];
states.append("rect")
.attr("class", "background")
.attr("width", width)
.attr("height", height);
d3.json("us-states.json", function(json) {
states.selectAll("path")
.data(json.features)
.enter().append("path")
.attr("d", path)
.on("click", click);
d3.csv("data.csv", function(data) {
states.selectAll(".blue.circle")
.data(data)
.enter()
.append("circle")
.attr("cx", function(d) {
return projection([d["lon_0"], d["lat_0"] ])[0];
})
.attr("cy", function(d) {
return projection([d["lon_0"],d["lat_0"] ])[1];
})
.attr("r", 5)
.attr("class", "blue circle")
.style("fill", "blue");
states.selectAll(".red.circle")
.data(data)
.enter()
.append("circle")
.attr("cx", function(d) {
return projection([+d["lon_1"], +d["lat_1"] ])[0];
})
.attr("cy", function(d) {
return projection([+d["lon_1"],+d["lat_1"] ])[1];
})
.attr("r", 5)
.attr("class", "red circle")
.style("fill", "red");
});
});
function click(d) {
var centroid = path.centroid(d),
translate = projection.translate();
projection.translate([
translate[0] - centroid[0] + width / 2,
translate[1] - centroid[1] + height / 2
]);
zoom.translate(projection.translate());
states.selectAll("path").transition()
.duration(1000)
.attr("d", path);
states.selectAll("red.circle").transition()
.duration(1000)
.attr("d", circle);
states.selectAll("blue.circle").transition()
.duration(1000)
.attr("d", circle);
}
function zoom() {
projection.translate(d3.event.translate).scale(d3.event.scale);
states.selectAll("path").attr("d", path);
states.selectAll("red.circle").attr("d", path);
states.selectAll("blue.circle").attr("d",path);
}
</script>
you're setting the co-ordinates of the circles when you load the map, so when you click the zoom function, your circles are displayed but are not using the same co-ordinates - i think - it will help if you can create a http://bl.ocks.org to see this.
perhaps this could be of help http://bl.ocks.org/nkhine/3150901 only UK, US and Afganistan works, but i am basically re-projecting the secondary map to fit the new zoom level.
I am trying to apply the colors from the color = d3.scale.category10(); var to the gradient for the circle svg, what am I doing wrong? All I am seeing is the first color of the color = d3.scale.category10();(which is blue) to 0% opacity gradient but that is all. If I take the gradient out then I see the range I want which is from 1-4? Thanks in advance!
var nodes = d3.range(300).map(function() { return {radius: Math.random() * 12 + 4}; }),
root = nodes[0],
color = d3.scale.category10();
root.radius = 0;
root.fixed = true;
var force = d3.layout.force()
.gravity(0.05)
.charge(function(d, i) { return i ? 0 : -4000; })
.nodes(nodes)
.size([width, height]);
force.start();
var svg = d3.select("body").append("svg:svg")
.attr("width", width)
.attr("height", height);
var gradient = svg.append("defs").append("radialGradient")
.attr("id", "gradient")
.attr("cx", "50%")
.attr("cy", "50%");
gradient.append("stop")
.attr("offset", "75%")
.style("stop-color", function(d, i) { return color(i % 4); })
.attr("stop-opacity", "1");
gradient.append("stop")
.attr("offset", "100%")
.style("stop-color", function(d, i) { return color(i % 4); })
.attr("stop-opacity", ".1");
svg.selectAll("circle")
.data(nodes.slice(1))
.enter().append("circle")
.attr("r", function(d) { return d.radius; })
.style("fill", "url(#gradient)");
Your stop elements don't have any data joined with them, so in your function (d, i), i will always be 0. If you just want the two stops, you could do something like this:
gradient.append("stop")
.attr("offset", "75%")
.style("stop-color", color(0))
.attr("stop-opacity", "1");
gradient.append("stop")
.attr("offset", "100%")
.style("stop-color", color(1))
.attr("stop-opacity", ".1");
If instead you're just trying to fade the edges of your circles, a gradient isn't what you want at all. Instead, you'll need to apply a solid color to each circle, then create a single opacity-only gradient inside a mask, and apply that mask to each circle. Something like this:
var defs = svg.append('defs');
var gradient = defs.append('radialGradient')
.attr('id', 'fadient');
gradient.append('stop')
.attr('offset', '75%')
.attr('stop-color', 'white')
.attr('stop-opacity', 1)
gradient.append('stop')
.attr('offset', '100%')
.attr('stop-color', 'white')
.attr('stop-opacity', .1)
var mask = defs.append('mask')
.attr('id', 'mask')
.attr('maskContentUnits', 'objectBoundingBox')
.append('circle')
.attr('fill', 'url(#fadient)')
.attr('cx', .5)
.attr('cy', .5)
.attr('r', .5)
svg.selectAll("circle")
.data(nodes.slice(1))
.enter().append("circle")
.attr('cx', function (d, i) { return 20 * i })
.attr('cy', 50)
.attr("r", function(d) { return d.radius; })
.attr('mask', 'url(#mask)')
.attr("fill", function (d, i) { return color(i); });