31:T990,md` > *This implementation using web workers relies on [OffscreenCanvas](https://developer.mozilla.org/en-US/docs/Web/API/OffscreenCanvas), which is currently only available in Chrome browser. If you're not using Chrome, you can see a non-worker version in [this notebook](https://observablehq.com/@oliviafvane/iv-animating-waterlines-canvas-strokes-no-web-worker?collection=@oliviafvane/watermarks).* In this final notebook, I animate the waterlines drawn as strokes of increasing thicknesses by creating a set of intermediate image frames. A benefit of this method is that, compared to doing SVG morphing, it animates all the 'broken' / merged / inner waterline sections nicely too. And where they are merging in the animation are some of the most satisfying bits to watch. Because waterline animation is a continually looping sequence, it makes sense for performance reasons to only compute the frames for *one* cycle of the animation and then to reuse them over and over (like a gif). The SVG morphing approach in the last notebook is computationally heavy because it's continually computing the tweening. In this notebook, I precompute all the image frames to cycle through on repeat. This achieves a much faster and smoother animation. An additional advantage of creating animation frames is it is really easy to do both directions of waterlines travel: inwards and outwards. You just reverse the frame order. Because initially generating the image frames is still a little computationally intensive, I've done this in a web worker. It's a one-off bit of computation, so you can get away with animating more waterlines in your image than you can with SVG morphing. I need to transition each waterline[n] to waterline[n + 1] over a specified number of frames. Because the waterlines are not evenly spaced—but spaced with a power scale—we can't simply increase the stroke width for each by an equal amount for each frame. Instead, I use [d3.interpolate()](https://github.com/d3/d3-interpolate#interpolate) to generate the intermediate positions of each line based on the original waterline positions: from original waterline[n] position on frame 0, to waterline[n+1] on the final frame. A nice by-product of this is, because the waterlines are more spaced out further away, they move quicker the further from the shore they are—which matches waves in nature. **Change which direction the waterlines move with the buttons below:** `32:Tae7,hebrides_combined = { const url = (x, y, z) => imageTiles_mapping[`${z}-${x}-${y}.png`]; let projection = d3 .geoMercator() .fitSize( [ hebrides_size - hebrides_waterlines_radialDistance, hebrides_size - hebrides_waterlines_radialDistance ], hebrides ); let projection_translate = projection.translate(); projection = projection.translate([ projection_translate[0] + hebrides_waterlines_radialDistance / 2, projection_translate[1] + hebrides_waterlines_radialDistance / 2 ]); const tile = d3 .tile() .size([hebrides_size, hebrides_size]) .scale(projection.scale() * 2 * Math.PI) .translate(projection([0, 0])) .zoomDelta(1), // use zoom delta to increase the resolution https://observablehq.com/@d3/tile-zoomdelta tiles = tile(); let overflow_div = html`

`; // scale up and translate the image to conceal any waterlines beyond the geojson crop let wrapper = html`

`; let svg = d3.select(DOM.svg(hebrides_size, hebrides_size)); // position SVG over Canvas element svg .style('position', 'absolute') .style('top', 0) .style('left', 0); // define defs let defs = svg.append('defs'); let path = d3.geoPath().projection(projection); defs .append('path') .attr('id', 'land_cumulative') .attr('d', path(hebrides)); defs .append('clipPath') .attr('id', 'clip') .append('use') .attr('xlink:href', location + '#land_cumulative'); svg .selectAll('image') .data(tiles) .join('image') .attr('xlink:href', function(d) { return url(d[0], d[1], d[2]); }) .attr('x', d => Math.round((d[0] + tiles.translate[0]) * tiles.scale)) .attr('y', d => Math.round((d[1] + tiles.translate[1]) * tiles.scale)) .attr('width', tiles.scale) .attr('height', tiles.scale) .attr('clip-path', 'url(' + location + '#clip)'); // add another layer of the tiles 1 pixel larger in width+height to conceal any gaps in the joins. Technique recommended in https://observablehq.com/@d3/clipped-map-tiles svg .selectAll('image') .data(tiles) .join('image') .attr('xlink:href', d => url(d[0], d[1], d[2])) .attr('x', d => Math.round((d[0] + tiles.translate[0]) * tiles.scale)) .attr('y', d => Math.round((d[1] + tiles.translate[1]) * tiles.scale)) .attr('width', tiles.scale + 1) .attr('height', tiles.scale + 1) .attr('clip-path', 'url(' + location + '#clip)'); wrapper.appendChild(hebrides_animated_fromWorker); wrapper.appendChild(svg.node()); overflow_div.appendChild(wrapper); return overflow_div; }33:T78f,scilly_combined = { const url = (x, y, z) => scilly_imageTiles_mapping[`${z}-${x}-${y}.png`]; let projection = d3 .geoMercator() .fitSize( [ scilly_size - scilly_waterlines_radialDistance, scilly_size - scilly_waterlines_radialDistance ], scilly ); let projection_translate = projection.translate(); projection = projection.translate([ projection_translate[0] + scilly_waterlines_radialDistance / 2, projection_translate[1] + scilly_waterlines_radialDistance / 2 ]); const tile = d3 .tile() .size([width, 1000]) .scale(projection.scale() * 2 * Math.PI) .translate(projection([0, 0])) .zoomDelta(1), // use zoom delta to increase the resolution https://observablehq.com/@d3/tile-zoomdelta tiles = tile(); let wrapper = html`

`; let svg = d3.select(DOM.svg(width, 1000)); // position SVG over Canvas element svg .style('position', 'absolute') .style('top', 0) .style('left', 0); // define defs let defs = svg.append('defs'); let path = d3.geoPath().projection(projection); defs .append('path') .attr('id', 'scilly_land') .attr('d', path(scilly)); defs .append('clipPath') .attr('id', 'clip_scilly') .append('use') .attr('xlink:href', location + '#scilly_land'); svg .selectAll('image') .data(tiles) .join('image') .attr('xlink:href', function(d) { return url(d[0], d[1], d[2]); }) .attr('x', d => Math.round((d[0] + tiles.translate[0]) * tiles.scale)) .attr('y', d => Math.round((d[1] + tiles.translate[1]) * tiles.scale)) .attr('width', tiles.scale) .attr('height', tiles.scale) .attr('clip-path', 'url(' + location + '#clip_scilly)'); wrapper.appendChild(scilly_animated_fromWorker); wrapper.appendChild(svg.node()); return wrapper; }34:T108c,function create_animationFrames_inWorker(data) { let geojson = data.geojson, size = data.size, waterlines_total = data.waterlines_total, colour = data.colour, waterlines_spacingExponent = data.waterlines_spacingExponent, radial_distance = data.radial_distance, frames_total = data.frames_total; // Use turf.rewind to make sure that the geojson winding direction is correct for d3 (or else polygons can be inverted into holes) - more on this https://bl.ocks.org/mbostock/a7bdfeb041e850799a8d3dce4d8c50c8 geojson = turf.rewind(geojson, { reverse: true }); // Create and translate the projection let projection_canvas = d3 .geoMercator() .fitSize([size - radial_distance, size - radial_distance], geojson); let projection_translate = projection_canvas.translate(); projection_canvas = projection_canvas.translate([ projection_translate[0] + radial_distance / 2, projection_translate[1] + radial_distance / 2 ]); // smoothing/curve functions for path function curveContext(curve) { return { moveTo(x, y) { curve.lineStart(); curve.point(x, y); }, lineTo(x, y) { curve.point(x, y); }, closePath() { curve.lineEnd(); } }; } function geoCurvePath(curve, projection, context) { return object => { const pathContext = context === undefined ? d3.path() : context; d3.geoPath(projection_canvas, curveContext(curve(pathContext)))(object); return context === undefined ? pathContext + "" : undefined; }; } let curve_this = d3.curveCatmullRomClosed, path_svg = geoCurvePath(curve_this)(geojson), path = new Path2D(path_svg); // power scale for spacing the waterlines let waterlines_spacing = d3 .scalePow() .exponent(waterlines_spacingExponent) .domain([0, waterlines_total - 1]) .range([radial_distance, 2]); // Array of the original waterline positions let waterline_index_array = Array.from(Array(waterlines_total).keys()), waterline_spacing_array = waterline_index_array.map(d => waterlines_spacing(d) ); // generate the paths for each frame let frame_paths = []; for (let j = 0; j < frames_total; j++) { let new_waterline_spacing_array = waterline_spacing_array .slice(0, waterline_spacing_array.length - 1) .map((d, i) => d3.interpolateNumber(waterline_spacing_array[i + 1], d)( j / frames_total ) ); // create new first waterline new_waterline_spacing_array.push( d3.interpolateNumber(0, 2)(j / frames_total) ); frame_paths.push(new_waterline_spacing_array); } // Create the animation frame images let animation_frames = []; for (let j = 0; j < frames_total; j++) { const canvas = new OffscreenCanvas(size, size); const context = canvas.getContext('2d'); const path_orig = d3.geoPath(projection_canvas, context); for (let i = 0; i < waterlines_total; i++) { // draw colour context.beginPath(); context.strokeStyle = colour; if (i == 0) { // outermost waterline fading out context.globalAlpha = 1 - j / frames_total; } else if (i == waterlines_total - 1) { // new innermost waterline fading in context.globalAlpha = j / frames_total; } else { context.globalAlpha = 1; } context.lineWidth = frame_paths[j][i] + 2; context.stroke(path); // clip out most of the stroke, so it becomes a line context.beginPath(); context.globalAlpha = 1; context.lineWidth = frame_paths[j][i]; context.globalCompositeOperation = 'destination-out'; // clipping context.stroke(path); context.globalCompositeOperation = 'source-over'; } // draw the original (unsmoothed) geojson over the top context.beginPath(); path_orig(geojson); context.lineWidth = 2; context.fillStyle = colour; context.fill(); // In order to get the animation frames out of the web worker, we use getImageData() https://developer.mozilla.org/en-US/docs/Web/API/CanvasRenderingContext2D/getImageData animation_frames.push(context.getImageData(0, 0, size, size)); } return animation_frames; }35:T655,md`## Which direction should waterlines move? Should they be going outwards from the shore, or inwards? Is there a 'correct' or 'natural' direction for waterlines to move? The whole point of waterlines is that they're supposed to look like moving water in the real world. Of the natural analogies—waves washing onto the shore (though there are [more subtleties](https://www.naturalnavigator.com/books-and-library/how-to-read-water/) there), or ripples radiating out—I think waves moving inwards makes more sense for a map. And yet, on the whole, they look odd to me moving that way. Is it that we're not used to seeing waves at this scale? For me, the graphic that looks the most 'right' with the waterlines washing inwards is the Outer Hebrides example at the top of this notebook. I wonder if that's because it's the biggest scale map: the most 'zoomed in'. The Isles of Scilly image below it looks weird to me when the waterlines go that way, like they are being sucked in by the landmass. Possibly the speed they move has an effect too. What looks better to you? ## Final thoughts Across this notebook collection we've experimented with waterlines in many incarnations, stumbled across some of the peculiarities of drawing with web browser technologies, and had a look at a lot of maps. This started out as simply something that caught my eye and intrigued me; like all rabbit holes I ended up learning a lot (for example, finally having to grapple with Web Workers). 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2f:{"title":"IV: Animating waterlines - Canvas strokes","cells":[{"id":2997,"value":"md`# IV: Animating waterlines - Canvas strokes`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4536,"value":"FileAttachment(\"Hebrides_waterlines3@1.gif\").image()","pinned":false,"hidden":false,"mode":"ojs"},{"id":4371,"value":"$31","pinned":false,"hidden":false,"mode":"ojs"},{"id":4737,"value":"viewof direction = Radio([\"Outwards\", \"Inwards\"], {\n value: \"Outwards\",\n label: \"Waterlines direction of travel:\"\n})","pinned":false,"hidden":false,"mode":"ojs"},{"id":3698,"value":"$32","pinned":false,"hidden":false,"mode":"ojs"},{"id":4162,"value":"md`^{*Outer Hebrides, Scotland, coastline. From [1896 Ordnance Survey map, National Library of Scotland](https://maps.nls.uk/view/74490573)*}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4324,"value":"background_colour = 'white'","pinned":false,"hidden":false,"mode":"ojs"},{"id":4316,"value":"tickDuration = 75","pinned":false,"hidden":false,"mode":"ojs"},{"id":4215,"value":"hebrides_animated_fromWorker = {\n // Create the animation by cycling through the images frames\n const context = DOM.context2d(hebrides_size, hebrides_size, 1);\n let frame = 0;\n let frame_total = Animation_frames.length;\n let ticker = d3.interval(elapsed => {\n context.clearRect(0, 0, hebrides_size, hebrides_size); // clear canvas\n // since we generated the animation frames as ImageData, we draw them using .putImageData() https://developer.mozilla.org/en-US/docs/Web/API/CanvasRenderingContext2D/putImageData\n context.putImageData(Animation_frames[frame], 0, 0);\n if (direction == \"Outwards\") {\n if (frame == frame_total - 1) {\n frame = 0;\n } else {\n frame++;\n }\n } else {\n if (frame == 0) {\n frame = frame_total - 1;\n } else {\n frame--;\n }\n }\n }, tickDuration);\n return context.canvas;\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":4172,"value":"Animation_frames = Generators.observe(\n worker(\n create_animationFrames_inWorker,\n {\n geojson: hebrides,\n size: hebrides_size,\n waterlines_total: 14,\n colour: '#34b2d9',\n waterlines_spacingExponent: 1 / 2,\n radial_distance: hebrides_waterlines_radialDistance,\n frames_total: 18\n }, // pass in the required libraries\n `importScripts(${await require\n .resolve(\"@turf/turf@5\")\n .then(JSON.stringify)}, ${await require\n .resolve(\"d3@5\")\n .then(JSON.stringify)});`\n )\n)","pinned":true,"hidden":false,"mode":"ojs"},{"id":3692,"value":"hebrides_size = 1200","pinned":false,"hidden":false,"mode":"ojs"},{"id":4320,"value":"hebrides_waterlines_radialDistance = 100","pinned":false,"hidden":false,"mode":"ojs"},{"id":4452,"value":"$33","pinned":false,"hidden":false,"mode":"ojs"},{"id":4531,"value":"md`^{*Isles of Scilly. From [1896 Ordnance Survey map, National Library of Scotland](https://maps.nls.uk/view/101169311)*}`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4449,"value":"scilly_animated_fromWorker = {\n // Create the animation by cycling through the images frames\n const context = DOM.context2d(scilly_size, scilly_size, 1);\n let frame = 0;\n let frame_total = Animation_frames_scilly.length;\n let ticker = d3.interval(elapsed => {\n context.clearRect(0, 0, scilly_size, scilly_size); // clear canvas\n // since we generated the animation frames as ImageData, we draw them using .putImageData() https://developer.mozilla.org/en-US/docs/Web/API/CanvasRenderingContext2D/putImageData\n context.putImageData(Animation_frames_scilly[frame], 0, 0);\n if (direction == \"Outwards\") {\n if (frame == frame_total - 1) {\n frame = 0;\n } else {\n frame++;\n }\n } else {\n if (frame == 0) {\n frame = frame_total - 1;\n } else {\n frame--;\n }\n }\n }, tickDuration);\n return context.canvas;\n}","pinned":true,"hidden":false,"mode":"ojs"},{"id":4435,"value":"Animation_frames_scilly = Generators.observe(\n worker(\n create_animationFrames_inWorker,\n {\n geojson: scilly,\n size: scilly_size,\n waterlines_total: 22,\n colour: '#5c6cbd',\n waterlines_spacingExponent: 1 / 2,\n radial_distance: scilly_waterlines_radialDistance,\n frames_total: 18\n }, // pass in the required libraries\n `importScripts(${await require\n .resolve(\"@turf/turf@5\")\n .then(JSON.stringify)}, ${await require\n .resolve(\"d3@5\")\n .then(JSON.stringify)});`\n )\n)","pinned":true,"hidden":false,"mode":"ojs"},{"id":4437,"value":"scilly_size = 1000","pinned":false,"hidden":false,"mode":"ojs"},{"id":4438,"value":"scilly_waterlines_radialDistance = 150","pinned":false,"hidden":false,"mode":"ojs"},{"id":4505,"value":"md`## General function to create waterline animation frames from a geojson in worker`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4173,"value":"$34","pinned":true,"hidden":false,"mode":"ojs"},{"id":4700,"value":"$35","pinned":false,"hidden":false,"mode":"ojs"},{"id":4335,"value":"md`---\n^{Thank you to Fabian Iwand for helpful feedback on this notebook collection.}\n## Data`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4497,"value":"md`### Geojson`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4088,"value":"hebrides = FileAttachment(\"Hebrides@1.json\")\n .json()\n .then(data => turf.rewind(data, { reverse: true }))","pinned":false,"hidden":false,"mode":"ojs"},{"id":4432,"value":"scilly = FileAttachment(\"1 (1).json\")\n .json()\n .then(d => turf.rewind(d, { reverse: true }))","pinned":false,"hidden":false,"mode":"ojs"},{"id":4412,"value":"md`### Web map tiles`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4415,"value":"md`Because this is not a public web map tile server (more information on National Library of Scotland web map tile servers [here](https://maps.nls.uk/projects/api/)), I have attached the tile images to the notebook. (Bulk File Attachment upload keyboard shortcut CMD Shift U is very helpful for this).\n\nGenerate a mapping between original filename (which contains the zoom, x, y information for each tile image) and the new notebook fileAttachment url, to use in a url constructing function with \\`\\`d3.tile\\`\\``","pinned":false,"hidden":false,"mode":"ojs"},{"id":4464,"value":"md`#### Hebrides`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4383,"value":"$36","pinned":false,"hidden":false,"mode":"ojs"},{"id":4396,"value":"imageTile_paths = image_tiles_fileAttachments.map(d => d.name)","pinned":false,"hidden":false,"mode":"ojs"},{"id":4392,"value":"imageTile_urls = Promise.all(\n image_tiles_fileAttachments.map(file => file.url())\n)","pinned":false,"hidden":false,"mode":"ojs"},{"id":4394,"value":"imageTiles_mapping = {\n var result = {};\n imageTile_paths.forEach((d, i) => (result[d] = imageTile_urls[i]));\n return result;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":4471,"value":"md`#### Scilly`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4478,"value":"$37","pinned":false,"hidden":false,"mode":"ojs"},{"id":4486,"value":"scilly_imageTile_paths = scilly_imageTile_FileAttachments.map(d => d.name)","pinned":false,"hidden":false,"mode":"ojs"},{"id":4489,"value":"scilly_imageTile_urls = Promise.all(\n scilly_imageTile_FileAttachments.map(file => file.url())\n)","pinned":false,"hidden":false,"mode":"ojs"},{"id":4492,"value":"scilly_imageTiles_mapping = {\n var result = {};\n scilly_imageTile_paths.forEach(\n (d, i) => (result[d] = scilly_imageTile_urls[i])\n );\n return result;\n}","pinned":false,"hidden":false,"mode":"ojs"},{"id":66,"value":"md`## Libraries and imports`","pinned":false,"hidden":false,"mode":"ojs"},{"id":4734,"value":"import { Radio } from \"@observablehq/inputs\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":2352,"value":"import { worker } from \"@fil/worker\"","pinned":false,"hidden":false,"mode":"ojs"},{"id":43,"value":"turf = require(\"@turf/turf@5\")","pinned":false,"hidden":false,"mode":"ojs"},{"id":51,"value":"d3 = require(\"d3@5\", 'd3-geo', 'd3-geo-projection', 'd3-tile')","pinned":false,"hidden":false,"mode":"ojs"}],"files":"$W38","stdlib":"1","titling":"auto"}