Published
Edited
Mar 28, 2022
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Kerkovits projectionA map of AfricaCupola ProjectionClipping spherical polygonsA conformal AiroceanFill with strokeMarkley’s tetrahedral mapSynchronized projectionsSatellite GLSLVan Der Grinten IV GLSLVan Der Grinten III GLSLVan Der Grinten II GLSLWinkel Tripel GLSLLee Modified Stereographic GLSLMiller Oblated Stereographic GLSLModified Stereographic GS48 GLSLModified Stereographic GS50 GLSLFoucaut GLSLLagrange GLSLKavrayskiy VII GLSLEisenlohr GLSLEckert VI GLSLEckert V GLSLEckert IV GLSLEckert III GLSLEckert II GLSLEckert I GLSLBertin1953 GLSLRobinson GLSLMiller GLSLRectangular Polyconic GLSLPatterson GLSLPolyconic GLSLLoximuthal GLSLCylindrical Stereographic GLSLCylindrical Equal-Area GLSLTransverse Fahey GLSLFahey GLSLCollignon GLSLBromley GLSLBottomley GLSLHammer GLSLBonne GLSLBoggs GLSLBerghaus GLSLBaker Transverse GLSLBaker GLSLAugust GLSLAiry GLSLAitoff GLSLArmadillo GLSLLarrivée GLSLCylindrical Equal-Area GLSLAzimuthal Equidistant GLSLLittrow GLSLVan Der Grinten GLSLEquirectangular GLSLConic Conformal GLSLConic Equidistant GLSLAlbers GLSLConic Equal-Area GLSLEqual Earth GLSLTimes GLSLWagner IV GLSLWagner VI GLSLWagner VII GLSLWiechel GLSLAtlantis GLSLMollweide GLSLMercator GLSLTransverse Mercator GLSLCordiform GLSLWebMercator to globeVersor zooming for Three.jsAzimuthal Equal-Area GLSLBriesemeister GLSLRectilinear GLSLPhytoplanktonDanseiji projectionsTransverse MollweideThe 2D approximate Newton-Raphson methodInverting Lee’s Tetrahedral projectionAmerican PolyconicThe complex logarithm projectionH3 hexagons & geoContoursModified Stereographic ProjectionsFisheye Conformal Map (Cox)Fisheye Conformal MapFisheye Conformal Map (Tetrahedral)Reproject elevation tiles — worldTransverse projectionsThe Imago projectionD3 ProjectionsImago Projection Distorsion AnalysisEPSG:5530Imago tilingCordiform map projections 💛💗💖MultiPolygon clippingThe Nicolosi Globular ProjectionFisheye GlobeHerbert Bayer’s Pacific OceanThe Behrmann projectionOronce Finé’s triangle projectionDa Vinci’s octant projectionThe Lotus projection (1958)The Voronoi projectionUsing proj4js with D3 and PlotMurphey Butterfly ProjectionEquateur & tropiquesVega projectionsMercator projection of a Mercator globeThe truth about the Mercator projectionOcean-centric Mollweide projectionBuckminster Fuller’s triangle transformationExperimental two world projectionsTobler’s hyperelliptical projection (1973)Jacques Bertin’s projection (1953)A map without Antarctica (Bertin1953 projection)Square Root Azimuthal projectionThe Log-Azimuthal projectionPeirce Quincuncial Projection, centered on the South PoleTranslucent Earth (Satellite projection)Lee’s conformal projection in a tetrahedronAirocean projectionCubic projectionsCox conformal projection in a triangleIcosahedral projectionsDodecahedral projectionThe Cahill-Keyes projection (1975)Polyhedral projections with d3-geo-polygonWagner customizable projectionParametrized Equal Earth ProjectionThe Hufnagel projection systemTissot's indicatrixAn equal-area projection for the cubic EarthBase map
Raster projection with GPU.js
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GPU.js
// render.getCanvas() is not responsive
{
var canvas = render.getCanvas();
setTimeout(function() { canvas.width = w, canvas.height = h; }, 100);
return canvas;
}
GPU = require("gpu.js@2.15.2")
function applyRotation(rotatex, rotatey, rotatez, lambda, phi, which) {
var degrees = 57.29577951308232;
lambda = lambda / degrees;
phi = phi / degrees;
var cosphi = Math.cos(phi),
x = Math.cos(lambda) * cosphi,
y = Math.sin(lambda) * cosphi,
z = Math.sin(phi);
// inverse rotation
var deltaLambda = rotatex / degrees; // rotate[0]
var deltaPhi = -rotatey / degrees; // rotate[1]
var deltaGamma = -rotatez / degrees; // rotate[2]
var cosDeltaPhi = Math.cos(deltaPhi),
sinDeltaPhi = Math.sin(deltaPhi),
cosDeltaGamma = Math.cos(deltaGamma),
sinDeltaGamma = Math.sin(deltaGamma);
var k = z * cosDeltaGamma - y * sinDeltaGamma;
lambda = Math.atan2(
y * cosDeltaGamma + z * sinDeltaGamma,
x * cosDeltaPhi + k * sinDeltaPhi
) - deltaLambda;
k = k * cosDeltaPhi - x * sinDeltaPhi;
phi = Math.asin(k);
lambda *= degrees;
phi *= degrees;
// return [lambda,phi]; // fails so we need to call this function twice
// and ask first for lambda, then for phi
if (which == 0) return lambda;
else return phi;
}
function frac(n) {
return n - Math.floor(n);
}
// the kernel runs for each pixel, with:
// - this.thread.x = horizontal position in pixels from the left edge
// - this.thread.y = vertical position in pixels from the bottom edge (*opposite of canvas*)
kernel = function(pixels, rotate0, rotate1, rotate2, scale) {
// azimuthal equal area
function radius(rho) {
return 2.0 * Math.asin(rho / 2.0);
}
// orthographic
function __radius(rho) {
return Math.asin(rho);
}
// equirectangular projection (reads the (lon,lat) color from the base image)
function pixelx(lon, srcw) {
lon = frac((lon + 180) / 360);
return Math.floor(lon * srcw);
}
function pixely(lat, srch) {
lat = frac((lat + 90) / 180);
return Math.floor(lat * srch);
}
const x = (this.thread.x / this.constants.w - 1 / 2) / scale,
y = ((this.thread.y - this.constants.h / 2) / this.constants.w) / scale;
// inverse projection
const rho = Math.sqrt(x * x + y * y) + 1e-12;
const c = radius(rho),
sinc = Math.sin(c),
cosc = Math.cos(c);
// x, y : pixel coordinates if rotation was null
const lambda = Math.atan2(x * sinc, rho * cosc) * 57.29577951308232;
const z = y * sinc / rho;
if (Math.abs(z) < 1) {
const phi = Math.asin(z) * 57.29577951308232;
// apply rotation
// [lambda, phi] = applyRotation(centerx, centery, centerz, lambda, phi); // TODO
const lambdan = applyRotation(rotate0, rotate1, rotate2, lambda, phi, 0);
const phin = applyRotation(rotate0, rotate1, rotate2, lambda, phi, 1);
//var n = n0(lambda, phi, this.constants.srcw, this.constants.srch);
//this.color(pixels[n]/256, pixels[n+1]/256,pixels[n+2]/256,1);
const pixel = pixels[pixely(phin, this.constants.srch)][pixelx(lambdan, this.constants.srcw)];
this.color(pixel[0], pixel[1], pixel[2], 1);
}
}
gpu = new GPU.GPU() // try {mode: "cpu"} to go slow
render = gpu
.createKernel(kernel, { functions: [applyRotation, frac] })
.setConstants({ w, h, srcw: image.width, srch: image.height })
.setOutput([w, h])
.setGraphical(true)
compute = {
var fpsTime = performance.now(), fps = 60;
do {
let r0 = (-Date.now() / 30) % 360,
r1 = 35 * Math.sin((-Date.now() / 1030) % 360),
r2 = 0,
scale = 0.49;
render(image, r0, r1, r2, scale);
fps = (1 + fps) * (1 + 0.000984 * (fpsTime - (fpsTime = performance.now())));
yield fps;
} while (true)
}
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