Playing with the low dimensional vector produced in Neill Campbell's Font Project
Inspired by watching his talk.
I'm only using data for one character as this is just a prototype. I can imagine a lot of ways to enhance the experience of exploring the low dimensional space like using parallel coordinates
Built with blockbuilder.org
| var CharFuncs = CharFuncs || {}; | |
| CharFuncs.char_1_i = {}; | |
| CharFuncs.char_1_i.getImageFilename = function() { | |
| return "./javaScript/data/heatMap_char_1_i.jpg"; | |
| } | |
| CharFuncs.char_1_i.getXLimits = function() { | |
| return { | |
| xMin: -3.227891, | |
| yMin: -2.860331, | |
| xMax: 1.974014, | |
| yMax: 2.341574, | |
| }; | |
| } | |
| CharFuncs.char_1_i.getXPoints = function() { | |
| var xPoints = []; | |
| xPoints.push({ x: 13.6, y: 244.6 }); | |
| xPoints.push({ x: 267.6, y: 148.4 }); | |
| xPoints.push({ x: 235.3, y: 219.9 }); | |
| xPoints.push({ x: 248.1, y: 227.4 }); | |
| xPoints.push({ x: 41.7, y: 159.3 }); | |
| xPoints.push({ x: 264.5, y: 161.4 }); | |
| xPoints.push({ x: 266.6, y: 145.1 }); | |
| xPoints.push({ x: 226.3, y: 224.2 }); | |
| xPoints.push({ x: 250.9, y: 168.1 }); | |
| xPoints.push({ x: 276.5, y: 140.9 }); | |
| xPoints.push({ x: 272.5, y: 146.0 }); | |
| xPoints.push({ x: 278.6, y: 133.1 }); | |
| xPoints.push({ x: 87.8, y: 228.3 }); | |
| xPoints.push({ x: 278.0, y: 133.7 }); | |
| xPoints.push({ x: 237.0, y: 201.8 }); | |
| xPoints.push({ x: 114.5, y: 135.7 }); | |
| xPoints.push({ x: 124.3, y: 168.0 }); | |
| xPoints.push({ x: 119.4, y: 174.5 }); | |
| xPoints.push({ x: 180.5, y: 97.6 }); | |
| xPoints.push({ x: 185.3, y: 147.5 }); | |
| xPoints.push({ x: 125.8, y: 156.6 }); | |
| xPoints.push({ x: 125.3, y: 141.3 }); | |
| xPoints.push({ x: 144.7, y: 141.7 }); | |
| xPoints.push({ x: 144.7, y: 141.1 }); | |
| xPoints.push({ x: 144.9, y: 141.2 }); | |
| xPoints.push({ x: 144.9, y: 141.2 }); | |
| xPoints.push({ x: 118.6, y: 173.7 }); | |
| xPoints.push({ x: 135.8, y: 143.3 }); | |
| xPoints.push({ x: 142.1, y: 142.0 }); | |
| xPoints.push({ x: 144.6, y: 141.7 }); | |
| xPoints.push({ x: 267.1, y: 148.8 }); | |
| xPoints.push({ x: 267.6, y: 148.4 }); | |
| xPoints.push({ x: 131.1, y: 161.8 }); | |
| xPoints.push({ x: 144.6, y: 142.1 }); | |
| xPoints.push({ x: 237.0, y: 201.8 }); | |
| xPoints.push({ x: 234.3, y: 191.3 }); | |
| xPoints.push({ x: 271.6, y: 146.5 }); | |
| xPoints.push({ x: 286.4, y: 148.0 }); | |
| xPoints.push({ x: 198.2, y: 239.4 }); | |
| xPoints.push({ x: 267.6, y: 148.3 }); | |
| xPoints.push({ x: 230.9, y: 248.2 }); | |
| xPoints.push({ x: 128.1, y: 229.6 }); | |
| xPoints.push({ x: 115.8, y: 163.5 }); | |
| xPoints.push({ x: 198.5, y: 51.8 }); | |
| xPoints.push({ x: 129.2, y: 159.8 }); | |
| xPoints.push({ x: 157.4, y: 155.2 }); | |
| return xPoints; | |
| } | |
| CharFuncs.char_1_i.getPredictionMatrices = function() { | |
| 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| |
| ]; | |
| Kinv=[[23.781697,], | |
| ]; | |
| X=[[-0.991803,-0.772626,], | |
| [1.327924,-0.774014,], | |
| [1.122334,-0.271446,], | |
| [0.180550,-3.223148,], | |
| [-0.008035,-0.362198,], | |
| [-0.110677,-1.840706,], | |
| [0.323244,2.132177,], | |
| [0.755225,1.139731,], | |
| [-2.559175,2.284394,], | |
| [-0.636186,-0.591611,], | |
| [1.423904,-0.365855,], | |
| [-2.141066,-0.161724,], | |
| [-1.434870,1.795669,], | |
| [0.783579,2.084807,], | |
| [-0.797561,1.855865,], | |
| [-0.952015,0.105185,], | |
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| [-0.018794,0.020004,0.013732,-0.015607,0.052620,0.013829,0.027532,0.009630,0.010514,-0.005722,0.004899,0.003678,0.039536,0.005408,0.007389,-0.181606,-0.008409,-0.028487,-0.066259,-0.192586,-0.010751,-0.046090,0.059786,0.059545,0.059753,0.059770,-0.033493,0.034723,0.056184,0.059729,0.020559,0.019952,0.023099,0.059859,0.007389,-0.021040,0.008130,-0.105659,0.011496,0.020077,-0.013120,-0.012448,-0.070549,0.029373,0.013460,0.015358,], | |
| [0.000193,-0.022266,-0.012784,0.013739,-0.008133,0.052223,-0.062974,-0.014639,-0.015968,0.004037,0.009067,-0.058949,0.005586,-0.059048,-0.003697,0.041153,-0.001086,0.005785,0.010019,0.062246,-0.003474,0.002028,-0.012311,-0.012488,-0.012275,-0.012254,0.007211,-0.014199,-0.014154,-0.012377,-0.022773,-0.022435,-0.008534,-0.012270,-0.003697,-0.007835,0.003683,0.216462,0.024601,-0.023039,-0.006485,-0.014987,0.015873,0.003224,-0.007682,0.022583,], | |
| [-0.004731,0.001237,0.001436,0.002584,0.025412,0.001307,0.001611,-0.000583,-0.000026,-0.000276,0.000397,0.000500,-0.005042,0.000598,0.000514,-0.018737,-0.001097,-0.002902,-0.003568,-0.013704,-0.002318,-0.006569,0.005164,0.005096,0.005153,0.005157,-0.003537,0.001769,0.004477,0.005148,0.001260,0.001235,0.001942,0.005189,0.000514,-0.002841,0.000594,-0.007169,-0.000896,0.001241,-0.002283,0.006758,-0.007928,0.001342,0.000580,0.004245,], | |
| [-0.016904,0.000035,-0.000896,-0.019126,-0.005413,0.000744,-0.001095,0.007629,0.000016,0.000372,0.000714,-0.001814,0.061408,-0.001745,0.000306,-0.006093,-0.005475,-0.005126,-0.013002,-0.002747,-0.001495,0.000085,0.004602,0.004698,0.004700,0.004701,-0.004259,0.002972,0.004261,0.004591,0.000024,0.000030,-0.004185,0.004514,0.000306,0.003000,0.000607,0.003897,0.010993,0.000015,0.005748,-0.043364,-0.000899,0.005331,-0.002908,-0.000484,], | |
| [0.004300,0.005633,-0.005055,0.063950,0.000520,0.002884,0.008264,-0.024215,0.006020,-0.004007,0.000247,-0.006504,-0.021044,-0.005729,-0.024243,0.022082,-0.001953,-0.003923,-0.021345,0.048977,0.000217,0.003922,-0.005465,-0.005828,-0.005724,-0.005719,-0.003986,-0.003920,-0.005582,-0.005466,0.005981,0.005587,-0.001131,-0.005220,-0.024243,-0.024345,0.001211,-0.012445,-0.053405,0.005631,0.060374,0.037362,0.000335,0.007235,-0.000985,0.010521,], | |
| [0.010039,-0.000441,0.001670,0.030833,0.008033,-0.003678,0.002193,-0.012402,0.000036,0.000102,-0.001534,0.006098,-0.048722,0.005810,0.000015,0.019257,-0.004279,-0.007932,-0.003549,0.006542,-0.002484,0.006168,-0.001325,-0.001285,-0.001335,-0.001339,-0.008963,0.000722,-0.000777,-0.001310,-0.000461,-0.000422,-0.001277,-0.001328,0.000015,-0.002799,-0.001389,-0.009610,-0.025424,-0.000386,-0.005612,0.074408,-0.009084,0.000363,-0.002083,0.002242,], | |
| [0.010140,-0.001574,0.001186,-0.006161,-0.017716,0.003136,-0.004352,0.005253,-0.002803,-0.000343,0.000535,-0.006612,-0.024519,-0.006443,0.000140,-0.020792,0.028900,0.042707,0.068246,0.008751,0.009370,-0.015664,-0.016378,-0.016619,-0.016509,-0.016501,0.043001,-0.016013,-0.016868,-0.016392,-0.001598,-0.001588,0.011985,-0.016218,0.000140,-0.001465,0.000168,0.018294,0.008038,-0.001629,-0.002286,-0.035567,0.032233,-0.026377,0.010862,-0.008995,], | |
| ]; | |
| var alpha = 2.917899; | |
| gamma=[[1.364182,], | |
| [0.365740,], | |
| ]; | |
| var N = 46.000000; | |
| var beta = 23.781697; | |
| var NumReconPts = 512.000000; | |
| var NumOutlines = 2.000000; | |
| X_StartPt=[[1.481873,], | |
| [-0.319859,], | |
| ]; | |
| return {X: X,Y: Y,Sigma: Sigma,Kinv: Kinv,alpha: alpha,gamma: gamma,K: N,beta: beta,Y_mean: Y_mean,Y_std: Y_std,X_StartPt: X_StartPt,N: NumReconPts,NumOutlines: NumOutlines,}; | |
| } | |
| CharFuncs.char_1_i.getMetricInfo = function() { | |
| V=[[3.774221,1.182405,0.333546,0.333546,NaN,0.641598,3.434145,-0.418891,], | |
| [-0.270909,1.057481,0.478923,0.478923,NaN,0.685480,-0.257494,0.066884,], | |
| [-0.371667,-0.131957,-0.460154,-0.460154,NaN,0.343598,-0.377368,-0.418891,], | |
| [-0.421216,-0.063910,-0.355160,-0.355160,NaN,0.343598,-0.483298,-0.418891,], | |
| [3.477255,1.175031,2.286733,2.286733,NaN,-0.077336,3.614938,2.416116,], | |
| [-0.353629,-0.035570,-0.397186,-0.397186,NaN,0.343598,-0.355299,-0.418891,], | |
| [-0.214301,0.580595,-0.006643,-0.006643,NaN,0.663378,-0.218343,-0.418891,], | |
| [-0.364853,0.018505,-0.246510,-0.246510,NaN,0.583399,-0.365753,-0.418891,], | |
| [-0.469471,-0.024709,-0.494631,-0.494631,NaN,0.222145,-0.652380,-0.418891,], | |
| [-0.377811,-0.697417,-0.941840,-0.941840,NaN,-0.404169,-0.376092,-0.418891,], | |
| [-0.224426,0.973961,0.454637,0.454637,NaN,0.732628,-0.228770,-0.418891,], | |
| [-0.357965,0.775609,0.235217,0.235217,NaN,0.894896,-0.362798,-0.418891,], | |
| [0.458235,0.968243,0.281940,0.281940,NaN,0.666850,0.258044,-0.418891,], | |
| [0.043045,0.731630,0.195801,0.195801,NaN,0.876358,0.039661,-0.418891,], | |
| [-0.335200,0.269553,-0.101570,-0.101570,NaN,-0.228606,-0.350045,-0.418891,], | |
| [0.163141,0.115155,0.196263,0.196263,NaN,0.687521,0.163149,-0.418891,], | |
| [0.019635,-0.064051,0.375464,0.375464,NaN,0.343598,0.108147,-0.418891,], | |
| [0.333913,0.768865,1.130460,1.130460,NaN,0.648636,0.393306,-0.418891,], | |
| [0.204195,1.314809,1.214082,1.214082,NaN,1.238772,0.220560,-0.418891,], | |
| [0.182231,0.720172,1.878360,1.878360,NaN,0.577964,0.425300,2.885917,], | |
| [-0.185422,-0.645374,-0.147772,-0.147772,NaN,0.322618,-0.071631,-0.418891,], | |
| [-0.317733,-0.922606,-0.437629,-0.437629,NaN,-0.385157,-0.246836,-0.418891,], | |
| [0.360497,0.574427,0.925905,0.925905,NaN,0.621863,0.316497,0.217454,], | |
| [-0.360049,-1.036186,-0.616875,-0.616875,NaN,-1.778916,-0.399049,-0.418891,], | |
| [0.476195,0.832386,1.172623,1.172623,NaN,0.499768,0.430891,-0.418891,], | |
| [0.174311,0.163174,0.534117,0.534117,NaN,0.846743,0.137704,-0.129600,], | |
| [-0.569019,-1.324464,-0.886578,-0.886578,NaN,-2.142223,-0.532253,-0.418891,], | |
| [-0.471583,-0.613988,-0.903199,-0.903199,NaN,-0.288766,-0.492753,-0.418891,], | |
| [-0.678062,-1.742880,-1.290919,-1.290919,NaN,0.502814,-0.710904,-0.418890,], | |
| [-0.328153,-0.957358,-0.546794,-0.546794,NaN,-1.229699,-0.363507,-0.418891,], | |
| [-1.040102,-1.324231,-1.489232,-1.489232,NaN,-0.061778,-1.034968,-0.418891,], | |
| [-0.990189,-1.167552,-1.358356,-1.358356,NaN,0.132335,-0.984522,-0.418891,], | |
| [-0.897186,-2.452302,-1.861450,-1.861450,NaN,-2.717701,-0.945502,-0.225647,], | |
| [0.663993,1.239439,1.578150,1.578150,NaN,-0.165444,0.613877,-0.418891,], | |
| [-0.427982,0.008123,-0.320509,-0.320509,NaN,0.696670,-0.442635,-0.071767,], | |
| [-0.427407,0.290669,-0.233017,-0.233017,NaN,0.925514,-0.433648,0.099124,], | |
| [-1.107660,-1.671954,-1.751835,-1.751835,NaN,-2.452632,-1.117531,1.204539,], | |
| [-0.482530,-0.493092,-0.628395,-0.628395,NaN,-0.885086,-0.488148,0.672480,], | |
| [-0.960221,-2.240680,-1.920476,-1.920476,NaN,-2.717701,-0.957553,-0.225647,], | |
| [-0.306082,0.961002,0.398220,0.398220,NaN,-0.106758,-0.291438,-0.418891,], | |
| [0.000245,1.170132,0.886588,0.886588,NaN,-0.165444,-0.059611,-0.418891,], | |
| [0.254739,0.619421,0.478600,0.478600,NaN,0.741553,0.230626,1.835218,], | |
| [-0.121138,-0.391234,0.103569,0.103569,NaN,0.025876,0.044598,0.219387,], | |
| [2.869893,1.343552,1.712777,1.712777,NaN,1.238772,3.065372,-0.418891,], | |
| [0.562742,0.901867,1.416827,1.416827,NaN,-0.289385,0.637376,4.440064,], | |
| [-0.586522,-0.754695,-0.872070,-0.872070,NaN,-0.951744,-0.534063,-0.418891,], | |
| ]; | |
| V_mean=[[4.440741,13.938811,4.535703,4.535703,1.000000,29.981327,8.887966,41.010056,], | |
| ]; | |
| V_std=[[1.818972,2.460559,0.894354,0.894354,0.000000,3.546797,3.625019,2.411259,], | |
| ]; | |
| return {V: V,V_mean: V_mean,V_std: V_std,}; | |
| } |
| <!DOCTYPE html> | |
| <head> | |
| <meta charset="utf-8"> | |
| <script src="https://cdnjs.cloudflare.com/ajax/libs/d3/3.5.5/d3.min.js"></script> | |
| <script src="https://cdnjs.cloudflare.com/ajax/libs/numeric/1.2.6/numeric.min.js"></script> | |
| <!-- example data --> | |
| <script src="PerformProjections.js"></script> | |
| <script src="char_1_i.js"></script> | |
| <style> | |
| body { margin:0;position:fixed;top:0;right:0;bottom:0;left:0; } | |
| canvas { | |
| position: absolute; | |
| left: 350px; | |
| } | |
| #heatmap { | |
| position: absolute; | |
| } | |
| #heatmap img { | |
| position: absolute; | |
| } | |
| #pointer { | |
| position: absolute; | |
| } | |
| #line-control { | |
| position: absolute; | |
| bottom: 0; | |
| } | |
| </style> | |
| </head> | |
| <body> | |
| <div id="heatmap"> | |
| <img src="http://vecg.cs.ucl.ac.uk/Projects/projects_fonts/font_project/data/heatMap_char_1_i.jpg"> | |
| <svg id="pointer"></svg> | |
| </div> | |
| <canvas></canvas> | |
| <svg id="line-control"></svg> | |
| <script> | |
| var width = 300; | |
| var height = 300; | |
| // hardcoded for the lowercase i | |
| var namespace = CharFuncs.char_1_i; | |
| var cursorX = 150; | |
| var cursorY = 150; | |
| var canvas = d3.select("canvas").node() | |
| canvas.width = width; | |
| canvas.height = height; | |
| var ctx = canvas.getContext('2d') | |
| var predictionData = {}; | |
| var metricInfo = {}; | |
| var xPoints = {}; | |
| var xLimits = {}; | |
| predictionData = namespace.getPredictionMatrices(); | |
| xPoints = namespace.getXPoints(); | |
| xLimits = namespace.getXLimits(); | |
| var NK = 16; // TODO: automate this. | |
| /* | |
| // calculate the bounds of each element in K | |
| var minK = d3.range(NK).map(function() { return Infinity }); | |
| var maxK = d3.range(NK).map(function() { return -Infinity }) | |
| d3.range(300).forEach(function(j) { | |
| d3.range(300).forEach(function(i) { | |
| var point = getPoint(i, j) | |
| var instance = [point]; | |
| var K = getK(instance, predictionData)[0]; | |
| K.forEach(function(k, index) { | |
| if(k < minK[index]) minK[index] = k; | |
| if(k > maxK[index]) maxK[index] = k; | |
| }) | |
| }) | |
| }) | |
| */ | |
| // hard-code the min and max array based on running above code | |
| // saves execution time, double for loop is a bit expensive | |
| /* | |
| minK = d3.range(NK).map(function() { return 0 }) | |
| maxK = d3.range(NK).map(function() { return 2.9179 }) | |
| console.log("min", minK) | |
| console.log("max", maxK) | |
| */ | |
| function renderPointer() { | |
| var svg = d3.select("#pointer") | |
| svg.attr({ | |
| width: width, | |
| height: height | |
| }) | |
| var point = svg.append("circle").classed("point", true) | |
| .datum([cursorX, cursorY]) | |
| var drag = d3.behavior.drag() | |
| .on("drag", function() { | |
| var mouse = d3.mouse(svg.node()) | |
| point.datum(mouse) | |
| .attr({ | |
| cx: function(d) { return d[0] }, | |
| cy: function(d) { return d[1] }, | |
| }) | |
| // rerender | |
| var p = getPoint(mouse[0], mouse[1]) | |
| var instance = [p]; | |
| var K = getK(instance, predictionData); | |
| renderControlLine(K); | |
| renderChar(K) | |
| }) | |
| point | |
| .attr({ | |
| cx: function(d) { return d[0] }, | |
| cy: function(d) { return d[1] }, | |
| r: 10, | |
| }) | |
| .style({ | |
| stroke: "#111", | |
| fill: "orange", | |
| cursor: "pointer" | |
| }).call(drag) | |
| } | |
| renderPointer(); | |
| // render parcoords-like interface for playing with each | |
| // element in the K vector and rerendering | |
| function renderControlLine(K) { | |
| var cWidth = 600; | |
| var cHeight = 120; | |
| var cMargin = 10; | |
| var svg = d3.select("#line-control") | |
| .attr({ | |
| width: cWidth, | |
| height: cHeight | |
| }) | |
| var xscale = d3.scale.ordinal() | |
| .domain(d3.range(NK)) | |
| .rangeBands([0, cWidth], 0.5) | |
| var yscale = d3.scale.linear() | |
| .domain([0, 2.9179]) // determined by above calculations | |
| .range([cMargin, cHeight - cMargin]) | |
| /* | |
| function getY(d,i) { | |
| var yscale = d3.scale.linear() | |
| .domain([minK[i], maxK[i]]) | |
| .range([cMargin, cHeight - cMargin]) | |
| return yscale(d) | |
| } | |
| */ | |
| var line = d3.svg.line() | |
| .x(function(d,i) { | |
| return xscale(i) | |
| }) | |
| .y(function(d,i) { | |
| return yscale(d) | |
| }) | |
| svg.selectAll("line.axis") | |
| .data(d3.range(NK)) | |
| .enter().append("line").classed("axis", true) | |
| .attr({ | |
| x1: function(d) { return xscale(d) }, | |
| x2: function(d) { return xscale(d) }, | |
| y1: cMargin, | |
| y2: cHeight - cMargin | |
| }).style({ | |
| stroke: "#111" | |
| }) | |
| var path = svg.selectAll("path.pc") | |
| .data(K) | |
| path.enter().append("path").classed("pc", true) | |
| path.attr("d", line) | |
| path.style({ | |
| fill: "none", | |
| stroke: "#111" | |
| }) | |
| // K is an array with 1 element, which is a 16 element array | |
| // that we actually care about | |
| var controls = svg.selectAll("circle.control") | |
| .data(K[0]) | |
| controls.enter().append("circle").classed("control", true) | |
| var drag = d3.behavior.drag() | |
| .on("drag", function(d,i) { | |
| var dis = d3.select(this) | |
| var datum = dis.datum() | |
| var y = yscale(datum) + d3.event.dy; | |
| datum = yscale.invert(y) | |
| dis.datum(datum) | |
| dis.attr("cy", function(d,i) { return yscale(d) }) | |
| var data = controls.data(); | |
| path.datum(data) | |
| path.attr("d", line) | |
| renderChar([data]) | |
| }) | |
| controls.attr({ | |
| cx: function(d,i) { return xscale(i) }, | |
| cy: function(d,i) { return yscale(d) }, | |
| r: 6 | |
| }).style({ | |
| cursor: "pointer", | |
| stroke: "#111", | |
| fill: "orange" | |
| }).call(drag) | |
| } | |
| var point = getPoint(cursorX, cursorY) | |
| var instance = [point]; | |
| var K = getK(instance, predictionData); | |
| renderControlLine(K); | |
| function getPoint(x,y) { | |
| // convert from "screen" space to data space | |
| // screen is 300x300 from heatmap | |
| var xP = (x - 5.0) / width; | |
| var yP = (y - 5.0) / height; | |
| xP = (xP*(xLimits.xMax - xLimits.xMin)) + xLimits.xMin; | |
| yP = (yP*(xLimits.yMax - xLimits.yMin)) + xLimits.yMin; | |
| return [xP, yP] | |
| } | |
| function renderFromPoint(cursorX, cursorY) { | |
| var point = getPoint(cursorX, cursorY) | |
| var instance = [point]; | |
| var K = getK(instance, predictionData); | |
| renderChar(K) | |
| } | |
| function renderChar(K) { | |
| ctx.clearRect(0, 0, width, height) | |
| ctx.strokeStyle = "#111"; | |
| ctx.fillStyle = "orange"; | |
| drawOutlineFromManifoldLocation(K, predictionData, ctx) | |
| ctx.stroke() | |
| ctx.fill(); | |
| } | |
| renderFromPoint(cursorX, cursorY) | |
| /* | |
| lots of code borrowed directly from: http://vecg.cs.ucl.ac.uk/Projects/projects_fonts/font_project/fontManifoldBrowser.js | |
| */ | |
| function drawOutlineFromManifoldLocation(K, predictionData, context) { | |
| var S = performPredictionWithK(K, predictionData); | |
| //console.log("prediction curve", S) | |
| var y = S.y; | |
| var cx = S.cx; | |
| var cy = S.cy; | |
| var scale = 50;//*0.1333; | |
| function scalePtsX(x) { | |
| return ((x-cx)*scale+150+0); | |
| } | |
| function scalePtsY(y) { | |
| return (-(y-cy)*scale+150+0); | |
| } | |
| var yOffsetIdx = predictionData.N * predictionData.NumOutlines; | |
| var NumOutlinesToDraw = predictionData.NumOutlines; | |
| console.log("num outlines", NumOutlinesToDraw) | |
| context.beginPath(); | |
| for (var outlineIdx = 0; outlineIdx < NumOutlinesToDraw; outlineIdx++) { | |
| var xOffsetIdx = predictionData.N * outlineIdx; | |
| context.moveTo(scalePtsX(y[xOffsetIdx][0]), scalePtsY(y[yOffsetIdx+xOffsetIdx][0])); | |
| for (var i = 1; i < predictionData.N; i++ ) { | |
| context.lineTo(scalePtsX(y[xOffsetIdx+i][0]), scalePtsY(y[yOffsetIdx+xOffsetIdx+i][0])); | |
| } | |
| context.lineTo(scalePtsX(y[xOffsetIdx][0]), scalePtsY(y[yOffsetIdx+xOffsetIdx][0])); | |
| } | |
| context.closePath(); | |
| } | |
| </script> | |
| </body> |
| // from Font Project by Neill Campbell | |
| // http://vecg.cs.ucl.ac.uk/Projects/projects_fonts/font_project/PerformPrediction.js | |
| var CharFuncs = CharFuncs || {}; | |
| function size(A) { return numeric.dim(A); } | |
| function computeK(x, X, alpha, gamma) { | |
| m = numeric.dim(x)[0]; | |
| d = numeric.dim(x)[1]; | |
| n = numeric.dim(X)[0]; | |
| dd = numeric.dim(X)[1]; | |
| if (d !== dd) { throw Error(); } | |
| xx = numeric.dot(numeric.mul(x,x),numeric.rep([d,1], 1)); | |
| XX = numeric.dot(numeric.rep([1,d], 1), numeric.transpose(numeric.mul(X,X))); | |
| D1 = numeric.dot(xx, numeric.rep([1,n],1)); | |
| D2 = numeric.dot(numeric.rep([m,1],1), XX); | |
| D3 = numeric.dot(numeric.mul(x, -2), numeric.transpose(X)); | |
| DD = numeric.add(numeric.add(D1, D2), D3); | |
| K = numeric.mul(alpha, numeric.exp(numeric.mul(-0.5*gamma, DD))); | |
| return K; | |
| } | |
| function computeKArd(x, X, alpha, gamma) { | |
| m = numeric.dim(x)[0]; | |
| d = numeric.dim(x)[1]; | |
| n = numeric.dim(X)[0]; | |
| dd = numeric.dim(X)[1]; | |
| if (d !== dd) { throw Error(); } | |
| sqrtGamma = numeric.sqrt(numeric.transpose(gamma)); | |
| X = numeric.mul(X, numeric.dot(numeric.rep([n,1], 1), sqrtGamma)); | |
| xx = numeric.dot(numeric.mul(x,x),numeric.rep([d,1], 1)); | |
| XX = numeric.dot(numeric.rep([1,d], 1), numeric.transpose(numeric.mul(X,X))); | |
| D1 = numeric.dot(xx, numeric.rep([1,n],1)); | |
| D2 = numeric.dot(numeric.rep([m,1],1), XX); | |
| D3 = numeric.dot(numeric.mul(x, -2), numeric.transpose(X)); | |
| DD = numeric.add(numeric.add(D1, D2), D3); | |
| K = numeric.mul(alpha, numeric.exp(numeric.mul(-0.5, DD))); | |
| return K; | |
| } | |
| function getK(x, data) { | |
| return computeKArd(x, data.X, data.alpha, data.gamma) | |
| } | |
| function performPrediction(x, data) { | |
| var K_xx_X | |
| if (data.gamma instanceof Array) { | |
| K_xx_X = computeKArd(x, data.X, data.alpha, data.gamma); | |
| yy_mean = numeric.dot(numeric.dot(data.Kinv, K_xx_X), data.Y); | |
| } | |
| else | |
| { | |
| console.log('RBF'); | |
| K_xx_X = computeK(x, data.X, data.alpha, data.gamma); | |
| yy_mean = numeric.dot(numeric.dot(K_xx_X, data.Kinv), data.Y); | |
| } | |
| yy_mean = numeric.add(numeric.mul(yy_mean, data.Y_std), data.Y_mean); | |
| return numeric.transpose(yy_mean); | |
| } | |
| function performPredictionWithK(K_xx_X, data) { | |
| var y = numeric.dot(numeric.dot(data.Kinv, K_xx_X), data.Y) | |
| y = numeric.add(numeric.mul(y, data.Y_std), data.Y_mean); | |
| var yOffsetIdx = data.N * data.NumOutlines; | |
| ux = numeric.getBlock(data.Y_mean, [0,0], [0,yOffsetIdx-1]); | |
| uy = numeric.getBlock(data.Y_mean, [0,yOffsetIdx], [0,yOffsetIdx*2-1]); | |
| xMin = numeric.inf(ux); | |
| xMax = numeric.sup(ux); | |
| yMin = numeric.inf(uy); | |
| yMax = numeric.sup(uy); | |
| cx = 0.5 * (xMin + xMax); | |
| cy = 0.5 * (yMin + yMax); | |
| var S = { | |
| y: numeric.transpose(y), | |
| xMin: xMin, | |
| xMax: xMax, | |
| yMin: yMin, | |
| yMax: yMax, | |
| cx: cx, | |
| cy: cy, | |
| } | |
| return S; | |
| } | |
| function performPredictionWithBB(x, data) { | |
| var K_xx_X | |
| if (data.gamma instanceof Array) { | |
| K_xx_X = computeKArd(x, data.X, data.alpha, data.gamma); | |
| y = numeric.dot(numeric.dot(data.Kinv, K_xx_X), data.Y); | |
| } | |
| else | |
| { | |
| K_xx_X = computeK(x, data.X, data.alpha, data.gamma); | |
| y = numeric.dot(numeric.dot(K_xx_X, data.Kinv), data.Y); | |
| } | |
| y = numeric.add(numeric.mul(y, data.Y_std), data.Y_mean); | |
| var yOffsetIdx = data.N * data.NumOutlines; | |
| ux = numeric.getBlock(data.Y_mean, [0,0], [0,yOffsetIdx-1]); | |
| uy = numeric.getBlock(data.Y_mean, [0,yOffsetIdx], [0,yOffsetIdx*2-1]); | |
| xMin = numeric.inf(ux); | |
| xMax = numeric.sup(ux); | |
| yMin = numeric.inf(uy); | |
| yMax = numeric.sup(uy); | |
| cx = 0.5 * (xMin + xMax); | |
| cy = 0.5 * (yMin + yMax); | |
| var S = { | |
| y: numeric.transpose(y), | |
| xMin: xMin, | |
| xMax: xMax, | |
| yMin: yMin, | |
| yMax: yMax, | |
| cx: cx, | |
| cy: cy, | |
| } | |
| return S; | |
| } |
