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reexpress.js
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reexpress.js
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// reexpress: performance-driven non-photorealistic face drawing
// Authors: Steven Ruppert and Daria Tolmacheva
// For Final Project, CSCI 561 Advanced Graphics, Spring 2014,
// at the Colorado School of Mines
//
// Based on the techniques described in
// "Performance-Driven Hand-Drawn Animation"
// http://gfx.cs.princeton.edu/gfx/pubs/Buck_2000_PHA/index.php
"use strict";
/*
Model:
- input control points, representing facial expression:
- eyes + eyebrows
- lips
- head pose is not tracked (i.e. rotation/scale)
- Hand-drawn image templates:
- one head model, with holes for eye/eyebrows
and lips
- 6 lip images, to morph between
- 4 eye images, to morph between
- Control points for all templates.
Model is kept in simple javascript global state, and mutated
by the view bindings (d3)
*/
var
input = {
// array of [x, y] pairs, in image coordinates
// basic shape:
//
// ___ ___
// / \ (eyebrows, 3 points each)
// /\ /\ (eyelids, 3 points each)
// __ __
// / \ / \ (eyes, 6 points each)
// \__/ \__/
//
// _______
// _____ (nose bridge, 2 points)
// | / ___ \ | (left/right cheecks, 2 points each)
// | / /___\ \ | (outer lip, 6 points)
// | / / \ \ | (inner lip, 6 points)
// | \ \_____/ / | (teeth, 2 points)
// | \_______/ |
//
eyes: {
"left": {
"brow": [
[34, 66],
[100, 50],
[169, 64.99999618530273]
],
"lid": [
[38, 141],
[105, 120],
[152, 143]
],
"eye": [
[64, 151],
[111, 140],
[146, 165],
[133, 201],
[79, 205],
[46, 182]
]
},
"right": {
"brow": [
[240, 71.99999618530273],
[300, 50],
[361, 70.99999618530273]
],
"lid": [
[245, 140],
[313, 125],
[367, 159]
],
"eye": [
[282, 148],
[322, 150],
[351, 176],
[339, 209],
[284, 209],
[245, 187]
]
}
},
mouth: {
// "nostrils": [
// [170, 325.00001525878906],
// [261, 327.00001525878906]
// ],
// "leftCheek": [
// [133, 355],
// [106, 437]
// ],
// "rightCheek": [
// [285, 355],
// [305, 443]
// ],
"outerLips": [
[126, 398],
[200, 350],
[225, 350],
[276, 402],
[225, 450],
[200, 450]
],
"innerLips": [
[162, 399],
[184, 382],
[228, 379],
[258, 401],
[225, 425],
[200, 425]
],
// "teeth": [
// [174, 391],
// [243, 389]
// ]
}
};
// XXX have to reload page to change model
var tname = document.getElementById('template').value;
var TEMPLATE = window[tname];
input = TEMPLATE[Object.keys(TEMPLATE)[0]];
/*
View:
- `#input` svg, to move input control points
- interactions and drawing using d3
- `#output` canvas
- from input control points and templates,
template images are warped into the correct facial pose
using delaunay triangulation in feature space and
[Bieier-Neely warping][0].
- actual warping/triangulation/drawing algorithms are
stateless, and are called by binding functions when
input state changes to update view state.
[0]: http://www.hammerhead.com/thad/morph.html
*/
// inputs that should be drawn as lines (not closed)
var lines = getLines(input)
function getLines(input) {
return [
input.eyes.left.brow,
input.eyes.right.brow,
input.eyes.left.lid,
input.eyes.right.lid,
];
}
// drawn as closed shapes
var shapes = getShapes(input);
function getShapes(input) {
return [
input.eyes.left.eye,
input.eyes.right.eye,
input.mouth.outerLips,
input.mouth.innerLips,
];
}
// all points, for moving (flap mapped)
var points = [].concat.apply([], lines.concat(shapes));
function pointsOf(input) {
return [].concat(
input.eyes.left.brow,
input.eyes.right.brow,
input.eyes.left.lid,
input.eyes.right.lid,
// input.mouth.nostrils
// XXX ignore for now
//input.mouth.leftCheek,
//input.mouth.rightCheek,
//input.mouth.teeth
input.eyes.left.eye,
input.eyes.right.eye,
input.mouth.outerLips,
input.mouth.innerLips
);
}
// setup dragging
var dragdraw = debounce(100, draw);
var drag = d3.behavior.drag()
.origin(function (d) {
return {x: d[0], y: d[1]};
})
.on('dragstart', function () {
$in.style('cursor', 'pointer');
})
.on('dragend', function () {
$in.style('cursor', null);
})
.on('drag', function (d) {
d3.select(this)
.attr('cx', d[0] = d3.event.x)
.attr('cy', d[1] = d3.event.y);
// reseat cursor
var pos = dimOf(input);
$cursor.attr('cx', xscale(pos[0])).attr('cy', yscale(pos[1]));
dragdraw();
});
// bind to svg elements
var $in = d3.select('#input');
var $lines = $in.selectAll('.line').data(lines);
$lines.enter().append('path').attr('class', 'line') ;
var $shapes = $in.selectAll('.shape').data(shapes);
$shapes.enter().append('path').attr('class', 'shape');
var $points = $in.selectAll('.point').data(points);
$points.enter().append('circle').attr('class', 'point').attr('r', 10)
.call(drag);
var x = function (d) { return d[0]; };
var y = function (d) { return d[1]; };
var line = d3.svg.line();
var shape = function (d) { return line(d) + "Z"; };
function cov(x, y) {
var xm = d3.mean(x);
var ym = d3.mean(y);
return d3.sum(d3.range(x.length).map(function (i) {
return (x[i] - xm) * (y[i] - ym);
}));
}
function dimOf(input) {
// use first singular value set as 2d point
// pretty sure this is equivalent to PCA -> 2 dimensions
return numeric.svd(pointsOf(input)).S;
}
var ps = []
for (var f in TEMPLATE) {
var inp = TEMPLATE[f];
ps.push({
image: f,
cimage: image('templates/' + tname + '/' + f + '.png'),
control: inp,
dim: dimOf(inp)
});
}
var xscale = d3.scale.linear()
.domain(d3.extent(ps, function (it) { return it.dim[0] }))
.range([50, 450]);
var yscale = d3.scale.linear()
.domain(d3.extent(ps, function (it) { return it.dim[1] }))
.range([450, 50]);
var tri = d3.geom.delaunay(ps.map(function (it) { return it.dim }))
var s =d3.select('#tri').selectAll('.tri').data(
tri.map(function(d) { return "M" + d.map(function (it) { return [xscale(it[0]), yscale(it[1])] }).join("L") + "Z"; }))
s.enter().append('path').attr('class', 'tri')
s.attr('d', String);
var s =d3.select('#space-img').selectAll('.image').data(ps)
s.exit().remove();
s.enter().append('image')
.attr('class', 'image')
.attr('width', 50)
.attr('height', 50)
.attr('xlink:href', function (it) { return 'templates/' + tname + '/' + it.image + '.png'; })
s.attr('x', function (it) { return xscale(it.dim[0]) - 25})
s.attr('y', function (it) { return yscale(it.dim[1]) - 25})
function dist(a, b) {
return Math.sqrt(Math.pow(a[0] - b[0], 2) + Math.pow(a[1] - b[1], 2));
}
// ((x1, y1), (x2, y2), (x3, y3)) -> (x, y) -> (u, v, w)
// w is technically redundant, since u + v + w = 1
// https://en.wikipedia.org/wiki/Barycentric_coordinate_system#Converting_to_barycentric_coordinates
function barycentric(t, cursor) {
var x = cursor[0], y = cursor[1]
, x1 = t[0][0], y1 = t[0][1]
, x2 = t[1][0], y2 = t[1][1]
, x3 = t[2][0], y3 = t[2][1]
, det = ((y2 - y3) * (x1 - x3) + (x3 - x2) * (y1 - y3))
, u, v;
return [
u = ((y2 - y3) * (x - x3) + (x3 - x2) * (y - y3)) / det,
v = ((y3 - y1) * (x - x3) + (x1 - x3) * (y - y3)) / det,
1 - u - v
];
}
function close(a, b) {
return Math.abs(a - b) < 0.0001;
}
var $cursor = d3.select('#cursor');
var pos = dimOf(input);
$cursor.attr('cx', xscale(pos[0])).attr('cy', yscale(pos[1]));
var closest, weights;
d3.select('#space').on('click', function () {
var pos = d3.mouse(this);
var x = xscale.invert(pos[0])
, y = yscale.invert(pos[1]);
var p = [x, y];
// find containing triangle
var t = tri.filter(function (tr) {
var w = barycentric(tr, p);
return w[0] > 0 && w[0] < 1
&& w[1] > 0 && w[1] < 1
&& w[2] > 0 && w[2] < 1;
});
// find corresponding points, which
// d3 doesn't make easy.
if (t[0] != null) {
closest = t[0].map(function (coord) {
for (var i = 0, len = ps.length; i < len; ++i) {
if (close(coord[0], ps[i].dim[0])
&& close(coord[1], ps[i].dim[1])) {
return ps[i];
}
}
});
// okay, mutate input to match linear combination
// of three closest, weight by barycentric
weights = barycentric(t[0], p);
var avgp = averagePoints(
pointsOf(closest[0].control),
pointsOf(closest[1].control),
pointsOf(closest[2].control),
weights);
// map back onto input
avgp.forEach(function (av, i) {
// points is by reference, so we can mutate
points[i][0] = av[0];
points[i][1] = av[1];
});
$cursor.attr('cx', pos[0]).attr('cy', pos[1]);
draw();
}
})
function averagePoints(a, b, c, w) {
return a.map(function (aa, i) {
return [
w[0] * aa[0] + w[1] * b[i][0] + w[2] * c[i][0],
w[0] * aa[1] + w[1] * b[i][1] + w[2] * c[i][1],
];
});
}
var WIDTH = 500, HEIGHT = 500;
var buf = document.createElement('canvas')
buf.width = WIDTH;
buf.height = HEIGHT;
var btx = buf.getContext('2d')
var outputs = [
document.createElement('canvas'),
document.createElement('canvas'),
document.createElement('canvas'),
];
outputs.forEach(function (o) {
o.width = WIDTH;
o.height = HEIGHT;
});
var otx = document.getElementById('output').getContext('2d')
function pairpoints(s, d, closed) {
var ret = [];
for (var j = 0, len = s.length - 1; j < len; ++j) {
var s1 = s[j], s2 = s[j + 1]
, d1 = d[j], d2 = d[j + 1];
ret.push([[s1, s2], [d1, d2]]);
}
if (closed) {
s1 = s[len], s2 = s[0]
, d1 = d[len], d2 = d[0];
ret.push([[s1, s2], [d1, d2]]);
}
return ret;
}
// transform control paths to list of 2-tuples of lines,
// paired by source (1) and dest (2)
function toPairedLines(s, d) {
return [].concat.apply([], [
pairpoints(s.eyes.left.brow, d.eyes.left.brow, false),
pairpoints(s.eyes.left.lid, d.eyes.left.lid, false),
pairpoints(s.eyes.left.eye, d.eyes.left.eye, true),
pairpoints(s.eyes.right.brow, d.eyes.right.brow, false),
pairpoints(s.eyes.right.lid, d.eyes.right.lid, false),
pairpoints(s.eyes.right.eye, d.eyes.right.eye, true),
pairpoints(s.mouth.outerLips, d.mouth.outerLips, true),
pairpoints(s.mouth.innerLips, d.mouth.innerLips, true)
]);
}
// initial draw
['a', 'b', 'p'].forEach(function(id) {
document.getElementById(id).addEventListener('input', dragdraw);
})
draw();
function draw() {
$lines.attr('d', line);
$shapes.attr('d', shape);
$points.attr('cx', x).attr('cy', y);
var aa = parseFloat(document.getElementById('a').value);
var bb = parseFloat(document.getElementById('b').value);
var pp = parseFloat(document.getElementById('p').value);
if (closest != null) {
// warp
for (var p = 0; p < 3; ++p) {
var sourceControl = closest[p].control;
var pairedLines = toPairedLines(input, sourceControl);
var out = outputs[p].getContext('2d');
// since the actual image is unscaled, draw the image to
// be sampled onto a canvas with correct scaling
btx.drawImage(closest[p].cimage, 0, 0, WIDTH, HEIGHT);
// XXX sample points, because sampling every point is kinda slow
// TODO move this off main thread (worker), or use webGL with
// texture sampling.
out.clearRect(0, 0, WIDTH, HEIGHT);
var SAMPLE = 4;
for (var i = 0; i < WIDTH; i += SAMPLE) {
for (var j = 0; j < HEIGHT; j += SAMPLE) {
var src = warp(pairedLines, [i, j], pp /* p */, aa/*a*/, bb/*b*/);
// draw source pixel to destination pixel
if (src[0] >= 0 && src[0] < WIDTH
&& src[1] >= 0 && src[1] < HEIGHT) {
out.drawImage(buf, src[0], src[1], SAMPLE, SAMPLE, i, j, SAMPLE, SAMPLE);
}
}
}
}
// now draw output, with barycentric points as weight
otx.clearRect(0, 0, WIDTH, HEIGHT);
otx.globalAlpha = weights[0];
otx.drawImage(outputs[0], 0, 0, WIDTH, HEIGHT);
otx.globalAlpha = weights[1];
otx.drawImage(outputs[1], 0, 0, WIDTH, HEIGHT);
otx.globalAlpha = weights[2];
otx.drawImage(outputs[2], 0, 0, WIDTH, HEIGHT);
}
}
// convenience for image with source
// String -> Image
function image(src) {
var img = new Image();
img.src = src;
return img;
}
document.getElementById('save').addEventListener('click', function () {
prompt('', JSON.stringify(input));
});
var inimg = document.getElementById('inimg');
function bind() {
if (inimg.files.length === 0) {
d3.select('#sinimg').attr('xlink:href', null);
} else {
var url = window.URL.createObjectURL(inimg.files[0]);
d3.select('#sinimg').attr('xlink:href', url);
}
}
inimg.addEventListener('change', bind);
// when page is loaded, the inimg element should
// retain its selection, so also try to bind right now.
bind();
document.getElementById('reset').addEventListener('click', function () {
setTimeout(bind, 100);
});
document.getElementById('show').addEventListener('click', function () {
d3.select('#input').style('opacity',
this.checked ? null : 0);
})
d3.select('#input').style('opacity',
document.getElementById('show').checked ? null : 0);