Building on this - experimenting with fake 3d svg arcs using two nested orthographic projections and cardinal line interpolation.
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March 28, 2023 23:31
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Faux-3D Arcs
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style> | |
| .land { | |
| fill: #999; | |
| stroke-opacity: 1; | |
| } | |
| .graticule { | |
| fill: none; | |
| stroke: black; | |
| stroke-width:.5; | |
| opacity:.2; | |
| } | |
| .labels { | |
| font: 8px sans-serif; | |
| fill: black; | |
| opacity: .5; | |
| display:none; | |
| } | |
| .noclicks { pointer-events:none; } | |
| .point { opacity:.6; } | |
| .arcs { | |
| opacity:.1; | |
| stroke: gray; | |
| stroke-width: 3; | |
| } | |
| .flyers { | |
| stroke-width:1; | |
| opacity: .6; | |
| stroke: darkred; | |
| } | |
| .arc, .flyer { | |
| stroke-linejoin: round; | |
| fill:none; | |
| } | |
| .arc { } | |
| .flyer { } | |
| .flyer:hover { } | |
| </style> | |
| <body> | |
| <script src="http://d3js.org/d3.v3.min.js"></script> | |
| <script src="http://d3js.org/queue.v1.min.js"></script> | |
| <script src="http://d3js.org/topojson.v0.min.js"></script> | |
| <script> | |
| d3.select(window) | |
| .on("mousemove", mousemove) | |
| .on("mouseup", mouseup); | |
| var width = 960, | |
| height = 500; | |
| var proj = d3.geo.orthographic() | |
| .translate([width / 2, height / 2]) | |
| .clipAngle(90) | |
| .scale(220); | |
| var sky = d3.geo.orthographic() | |
| .translate([width / 2, height / 2]) | |
| .clipAngle(90) | |
| .scale(300); | |
| var path = d3.geo.path().projection(proj).pointRadius(2); | |
| var swoosh = d3.svg.line() | |
| .x(function(d) { return d[0] }) | |
| .y(function(d) { return d[1] }) | |
| .interpolate("cardinal") | |
| .tension(.0); | |
| var links = [], | |
| arcLines = []; | |
| var svg = d3.select("body").append("svg") | |
| .attr("width", width) | |
| .attr("height", height) | |
| .on("mousedown", mousedown); | |
| queue() | |
| .defer(d3.json, "/d/4686432/world-110m.json") | |
| .defer(d3.json, "places.json") | |
| .await(ready); | |
| function ready(error, world, places) { | |
| var ocean_fill = svg.append("defs").append("radialGradient") | |
| .attr("id", "ocean_fill") | |
| .attr("cx", "75%") | |
| .attr("cy", "25%"); | |
| ocean_fill.append("stop").attr("offset", "5%").attr("stop-color", "#fff"); | |
| ocean_fill.append("stop").attr("offset", "100%").attr("stop-color", "#ababab"); | |
| var globe_highlight = svg.append("defs").append("radialGradient") | |
| .attr("id", "globe_highlight") | |
| .attr("cx", "75%") | |
| .attr("cy", "25%"); | |
| globe_highlight.append("stop") | |
| .attr("offset", "5%").attr("stop-color", "#ffd") | |
| .attr("stop-opacity","0.6"); | |
| globe_highlight.append("stop") | |
| .attr("offset", "100%").attr("stop-color", "#ba9") | |
| .attr("stop-opacity","0.2"); | |
| var globe_shading = svg.append("defs").append("radialGradient") | |
| .attr("id", "globe_shading") | |
| .attr("cx", "55%") | |
| .attr("cy", "45%"); | |
| globe_shading.append("stop") | |
| .attr("offset","30%").attr("stop-color", "#fff") | |
| .attr("stop-opacity","0") | |
| globe_shading.append("stop") | |
| .attr("offset","100%").attr("stop-color", "#505962") | |
| .attr("stop-opacity","0.3") | |
| var drop_shadow = svg.append("defs").append("radialGradient") | |
| .attr("id", "drop_shadow") | |
| .attr("cx", "50%") | |
| .attr("cy", "50%"); | |
| drop_shadow.append("stop") | |
| .attr("offset","20%").attr("stop-color", "#000") | |
| .attr("stop-opacity",".5") | |
| drop_shadow.append("stop") | |
| .attr("offset","100%").attr("stop-color", "#000") | |
| .attr("stop-opacity","0") | |
| svg.append("ellipse") | |
| .attr("cx", 440).attr("cy", 450) | |
| .attr("rx", proj.scale()*.90) | |
| .attr("ry", proj.scale()*.25) | |
| .attr("class", "noclicks") | |
| .style("fill", "url(#drop_shadow)"); | |
| svg.append("circle") | |
| .attr("cx", width / 2).attr("cy", height / 2) | |
| .attr("r", proj.scale()) | |
| .attr("class", "noclicks") | |
| .style("fill", "url(#ocean_fill)"); | |
| svg.append("path") | |
| .datum(topojson.object(world, world.objects.land)) | |
| .attr("class", "land noclicks") | |
| .attr("d", path); | |
| svg.append("circle") | |
| .attr("cx", width / 2).attr("cy", height / 2) | |
| .attr("r", proj.scale()) | |
| .attr("class","noclicks") | |
| .style("fill", "url(#globe_highlight)"); | |
| svg.append("circle") | |
| .attr("cx", width / 2).attr("cy", height / 2) | |
| .attr("r", proj.scale()) | |
| .attr("class","noclicks") | |
| .style("fill", "url(#globe_shading)"); | |
| svg.append("g").attr("class","points") | |
| .selectAll("text").data(places.features) | |
| .enter().append("path") | |
| .attr("class", "point") | |
| .attr("d", path); | |
| // spawn links between cities as source/target coord pairs | |
| places.features.forEach(function(a) { | |
| places.features.forEach(function(b) { | |
| if (a !== b) { | |
| links.push({ | |
| source: a.geometry.coordinates, | |
| target: b.geometry.coordinates | |
| }); | |
| } | |
| }); | |
| }); | |
| // build geoJSON features from links array | |
| links.forEach(function(e,i,a) { | |
| var feature = { "type": "Feature", "geometry": { "type": "LineString", "coordinates": [e.source,e.target] }} | |
| arcLines.push(feature) | |
| }) | |
| svg.append("g").attr("class","arcs") | |
| .selectAll("path").data(arcLines) | |
| .enter().append("path") | |
| .attr("class","arc") | |
| .attr("d",path) | |
| svg.append("g").attr("class","flyers") | |
| .selectAll("path").data(links) | |
| .enter().append("path") | |
| .attr("class","flyer") | |
| .attr("d", function(d) { return swoosh(flying_arc(d)) }) | |
| refresh(); | |
| } | |
| function flying_arc(pts) { | |
| var source = pts.source, | |
| target = pts.target; | |
| var mid = location_along_arc(source, target, .5); | |
| var result = [ proj(source), | |
| sky(mid), | |
| proj(target) ] | |
| return result; | |
| } | |
| function refresh() { | |
| svg.selectAll(".land").attr("d", path); | |
| svg.selectAll(".point").attr("d", path); | |
| svg.selectAll(".arc").attr("d", path) | |
| .attr("opacity", function(d) { | |
| return fade_at_edge(d) | |
| }) | |
| svg.selectAll(".flyer") | |
| .attr("d", function(d) { return swoosh(flying_arc(d)) }) | |
| .attr("opacity", function(d) { | |
| return fade_at_edge(d) | |
| }) | |
| } | |
| function fade_at_edge(d) { | |
| var centerPos = proj.invert([width/2,height/2]), | |
| arc = d3.geo.greatArc(), | |
| start, end; | |
| // function is called on 2 different data structures.. | |
| if (d.source) { | |
| start = d.source, | |
| end = d.target; | |
| } | |
| else { | |
| start = d.geometry.coordinates[0]; | |
| end = d.geometry.coordinates[1]; | |
| } | |
| var start_dist = 1.57 - arc.distance({source: start, target: centerPos}), | |
| end_dist = 1.57 - arc.distance({source: end, target: centerPos}); | |
| var fade = d3.scale.linear().domain([-.1,0]).range([0,.1]) | |
| var dist = start_dist < end_dist ? start_dist : end_dist; | |
| return fade(dist) | |
| } | |
| function location_along_arc(start, end, loc) { | |
| var interpolator = d3.geo.interpolate(start,end); | |
| return interpolator(loc) | |
| } | |
| // modified from http://bl.ocks.org/1392560 | |
| var m0, o0; | |
| function mousedown() { | |
| m0 = [d3.event.pageX, d3.event.pageY]; | |
| o0 = proj.rotate(); | |
| d3.event.preventDefault(); | |
| } | |
| function mousemove() { | |
| if (m0) { | |
| var m1 = [d3.event.pageX, d3.event.pageY] | |
| , o1 = [o0[0] + (m1[0] - m0[0]) / 6, o0[1] + (m0[1] - m1[1]) / 6]; | |
| o1[1] = o1[1] > 30 ? 30 : | |
| o1[1] < -30 ? -30 : | |
| o1[1]; | |
| proj.rotate(o1); | |
| sky.rotate(o1); | |
| refresh(); | |
| } | |
| } | |
| function mouseup() { | |
| if (m0) { | |
| mousemove(); | |
| m0 = null; | |
| } | |
| } | |
| </script> |
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| { | |
| "type": "FeatureCollection", | |
| "features": [ | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Populated place", "name": "Los Angeles", "nameascii": "Los Angeles", "adm0name": "United States of America", "adm0_a3": "USA", "adm1name": "California", "iso_a2": "US", "note": null, "latitude": 33.989978250199997, "longitude": -118.179980511, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 12500000, "pop_min": 3694820, "pop_other": 142265, "rank_max": 14, "rank_min": 12, "geonameid": 5368361.0, "meganame": "Los Angeles-Long Beach-Santa Ana", "ls_name": "Los Angeles1", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ -118.181926369940413, 33.991924108765431 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-0 capital", "name": "Washington, D.C.", "nameascii": "Washington, D.C.", "adm0name": "United States of America", "adm0_a3": "USA", "adm1name": "District of Columbia", "iso_a2": "US", "note": null, "latitude": 38.899549376499998, "longitude": -77.009418580800002, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 4338000, "pop_min": 552433, "pop_other": 2175991, "rank_max": 12, "rank_min": 11, "geonameid": 4140963.0, "meganame": "Washington, D.C.", "ls_name": "Washington, D.C.", "ls_match": 1, "checkme": 5 }, "geometry": { "type": "Point", "coordinates": [ -77.011364439437159, 38.901495235087054 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Populated place", "name": "New York", "nameascii": "New York", "adm0name": "United States of America", "adm0_a3": "USA", "adm1name": "New York", "iso_a2": "US", "note": null, "latitude": 40.749979064, "longitude": -73.980016928799998, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 19040000, "pop_min": 8008278, "pop_other": 9292603, "rank_max": 14, "rank_min": 13, "geonameid": 5128581.0, "meganame": "New York-Newark", "ls_name": "New York", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ -73.981962787406815, 40.75192492259464 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 2, "featurecla": "Admin-0 capital", "name": "Moscow", "nameascii": "Moscow", "adm0name": "Russia", "adm0_a3": "RUS", "adm1name": "Moskva", "iso_a2": "RU", "note": null, "latitude": 55.7521641226, "longitude": 37.615522825900001, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 10452000, "pop_min": 10452000, "pop_other": 10585385, "rank_max": 14, "rank_min": 14, "geonameid": 524901.0, "meganame": "Moskva", "ls_name": "Moscow", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 37.613576967271399, 55.754109981248178 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 2, "featurecla": "Admin-0 capital", "name": "Mexico City", "nameascii": "Mexico City", "adm0name": "Mexico", "adm0_a3": "MEX", "adm1name": "Distrito Federal", "iso_a2": "MX", "note": null, "latitude": 19.442442442800001, "longitude": -99.130988201700006, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 19028000, "pop_min": 10811002, "pop_other": 10018444, "rank_max": 14, "rank_min": 14, "geonameid": 3530597.0, "meganame": "Ciudad de México", "ls_name": "Mexico City", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ -99.132934060293906, 19.444388301415472 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 2, "featurecla": "Admin-0 capital alt", "name": "Lagos", "nameascii": "Lagos", "adm0name": "Nigeria", "adm0_a3": "NGA", "adm1name": "Lagos", "iso_a2": "NG", "note": null, "latitude": 6.44326165348, "longitude": 3.39153107121, "changed": 4.0, "namediff": 0, "diffnote": "Location adjusted. Changed scale rank.", "pop_max": 9466000, "pop_min": 1536, "pop_other": 6567892, "rank_max": 13, "rank_min": 3, "geonameid": 735497.0, "meganame": "Lagos", "ls_name": "Lagos", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 3.389585212598433, 6.445207512093191 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-0 capital", "name": "Beijing", "nameascii": "Beijing", "adm0name": "China", "adm0_a3": "CHN", "adm1name": "Beijing", "iso_a2": "CN", "note": null, "latitude": 39.928892231299997, "longitude": 116.388285684, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 11106000, "pop_min": 7480601, "pop_other": 9033231, "rank_max": 14, "rank_min": 13, "geonameid": 1816670.0, "meganame": "Beijing", "ls_name": "Beijing", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 116.386339825659434, 39.930838089909059 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-0 capital", "name": "Jakarta", "nameascii": "Jakarta", "adm0name": "Indonesia", "adm0_a3": "IDN", "adm1name": "Jakarta Raya", "iso_a2": "ID", "note": null, "latitude": -6.17441770541, "longitude": 106.829437621, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 9125000, "pop_min": 8540121, "pop_other": 9129613, "rank_max": 13, "rank_min": 13, "geonameid": 1642911.0, "meganame": "Jakarta", "ls_name": "Jakarta", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 106.827491762470117, -6.172471846798885 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-1 capital", "name": "Shanghai", "nameascii": "Shanghai", "adm0name": "China", "adm0_a3": "CHN", "adm1name": "Shanghai", "iso_a2": "CN", "note": null, "latitude": 31.216452452599999, "longitude": 121.436504678, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 14987000, "pop_min": 14608512, "pop_other": 16803572, "rank_max": 14, "rank_min": 14, "geonameid": 1796236.0, "meganame": "Shanghai", "ls_name": "Shanghai", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 121.434558819820154, 31.218398311228327 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 2, "featurecla": "Admin-0 capital", "name": "Tokyo", "nameascii": "Tokyo", "adm0name": "Japan", "adm0_a3": "JPN", "adm1name": "Tokyo", "iso_a2": "JP", "note": null, "latitude": 35.685016905799998, "longitude": 139.751407429000011, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 35676000, "pop_min": 8336599, "pop_other": 12945252, "rank_max": 14, "rank_min": 13, "geonameid": 1850147.0, "meganame": "Tokyo", "ls_name": "Tokyo", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 139.749461570544668, 35.686962764371174 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-1 capital", "name": "Mumbai", "nameascii": "Mumbai", "adm0name": "India", "adm0_a3": "IND", "adm1name": "Maharashtra", "iso_a2": "IN", "note": null, "latitude": 19.016990375700001, "longitude": 72.856989297400006, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 18978000, "pop_min": 12691836, "pop_other": 12426085, "rank_max": 14, "rank_min": 14, "geonameid": 1275339.0, "meganame": "Mumbai", "ls_name": "Mumbai", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 72.855043438766472, 19.018936234356602 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-1 capital", "name": "Kolkata", "nameascii": "Kolkata", "adm0name": "India", "adm0_a3": "IND", "adm1name": "West Bengal", "iso_a2": "IN", "note": null, "latitude": 22.494969298299999, "longitude": 88.324675658100006, "changed": 4.0, "namediff": 1, "diffnote": "Name changed. Changed scale rank.", "pop_max": 14787000, "pop_min": 4631392, "pop_other": 7783716, "rank_max": 14, "rank_min": 12, "geonameid": 1275004.0, "meganame": "Kolkata", "ls_name": "Calcutta", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 88.32272979950551, 22.496915156896421 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Populated place", "name": "Rio de Janeiro", "nameascii": "Rio de Janeiro", "adm0name": "Brazil", "adm0_a3": "BRA", "adm1name": "Rio de Janeiro", "iso_a2": "BR", "note": null, "latitude": -22.9250231742, "longitude": -43.225020794199999, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 11748000, "pop_min": 2010175, "pop_other": 1821489, "rank_max": 14, "rank_min": 12, "geonameid": 3451190.0, "meganame": "Rio de Janeiro", "ls_name": "Rio de Janeiro", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ -43.226966652843657, -22.923077315615956 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 1, "featurecla": "Admin-1 capital", "name": "Sao Paulo", "nameascii": "Sao Paulo", "adm0name": "Brazil", "adm0_a3": "BRA", "adm1name": "São Paulo", "iso_a2": "BR", "note": null, "latitude": -23.558679587, "longitude": -46.625019980399998, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 18845000, "pop_min": 10021295, "pop_other": 11522944, "rank_max": 14, "rank_min": 14, "geonameid": 3448439.0, "meganame": "São Paulo", "ls_name": "Sao Paolo", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ -46.626965839055231, -23.556733728378958 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 0, "featurecla": "Admin-0 capital", "name": "Singapore", "nameascii": "Singapore", "adm0name": "Singapore", "adm0_a3": "SGP", "adm1name": null, "iso_a2": "SG", "note": null, "latitude": 1.29303346649, "longitude": 103.855820678, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 5183700, "pop_min": 3289529, "pop_other": 3314179, "rank_max": 13, "rank_min": 12, "geonameid": 1880252.0, "meganame": "Singapore", "ls_name": "Singapore", "ls_match": 1, "checkme": 5 }, "geometry": { "type": "Point", "coordinates": [ 103.853874819099019, 1.294979325105942 ] } } | |
| , | |
| { "type": "Feature", "properties": { "scalerank": 0, "labelrank": 0, "featurecla": "Admin-0 region capital", "name": "Hong Kong", "nameascii": "Hong Kong", "adm0name": "Hong Kong S.A.R.", "adm0_a3": "HKG", "adm1name": null, "iso_a2": "HK", "note": null, "latitude": 22.304980895, "longitude": 114.185009317, "changed": 0.0, "namediff": 0, "diffnote": null, "pop_max": 7206000, "pop_min": 4551579, "pop_other": 4549026, "rank_max": 13, "rank_min": 12, "geonameid": 1819729.0, "meganame": "Hong Kong", "ls_name": "Hong Kong", "ls_match": 1, "checkme": 0 }, "geometry": { "type": "Point", "coordinates": [ 114.183063458463039, 22.30692675357551 ] } } | |
| ] | |
| } |
Very cool! Here's a version which avoids the need for the nested sky projection, and makes arc "flying height" proportional to length.
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Spectacular work!
How would you go about linking only specific points rather than all as a mesh?
Regards