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The following code (see Keep square pixels + ability to have any rectangular shape zoom with Plotly.js, with a plot with 2 layers and Zoom on a Plotly heatmap) works to create a Plotly heatmap that:

  • has squared pixels,
  • allows any rectangular-shaped zoom (and not stuck on the heatmap’s aspect ratio),
  • has multiple layers / traces.

However, when selecting a rectangle zone to zoom into, this zone is not centered after zooming, whereas:

  • the zoomed zone should be centered on x-axis
  • the zoomed zone should be centered on y-axis

How to achieve this standard UX with Plotly.js? (standard in many software that have a rectangle zooming UX, such as Matplotlib, Photoshop, etc.)

Example:

enter image description here

const z = Array.from({ length: 50 }, () => Array.from({ length: 20 }, () => Math.floor(Math.random() * 255)));
const z2 = [[[255, 0, 0], [0, 255, 255]], [[0, 0, 255], [255, 0, 255]]];
const data = [{ type: "image", z: z2 }, { type: "heatmap", z: z, opacity: 0.3 }];
const layout = { 
  xaxis: { constrain: 'range', constraintoward: 'center', scaleanchor: "y", scaleratio: 1, zeroline: false, showgrid: false },
  yaxis: { constrain: 'range', constraintoward: 'center', showgrid: false, zeroline: false }
};
Plotly.newPlot('plot', data, layout).then(afterPlot);
function afterPlot(gd) {
  const xrange = gd._fullLayout.xaxis.range;
  const yrange = gd._fullLayout.yaxis.range;
  const xrange_init = [...xrange];
  const yrange_init = [...yrange];
  const zw0 = Math.abs(xrange[1] - xrange[0]);
  const zh0 = Math.abs(yrange[1] - yrange[0]);
  const r0 = Number((zw0 / zh0).toPrecision(6));
  const update = { 'xaxis.range': xrange, 'yaxis.range': yrange, 'xaxis.scaleanchor': false, 'yaxis.scaleanchor': false };
  Plotly.relayout(gd, update);
  gd.on('plotly_relayout', relayoutHandler);
  function relayoutHandler(e) {
    if (e.width || e.height) {
      return unbindAndReset(gd, relayoutHandler);
    }
    if (e['xaxis.autorange'] || e['yaxis.autorange']) {
      [xrange[0], xrange[1]] = xrange_init;
      [yrange[0], yrange[1]] = yrange_init;
      return Plotly.relayout(gd, update);
    }
    const zw1 = Math.abs(xrange[1] - xrange[0]);
    const zh1 = Math.abs(yrange[1] - yrange[0]);
    const r1 = Number((zw1 / zh1).toPrecision(6));
    if (r1 === r0) {
      return;
    }
    const [xmin, xmax] = getExtremes(gd, 1, 'x');
    const [ymin, ymax] = getExtremes(gd, 1, 'y');
    if (r1 > r0) {
      const extra = (zh1 * r1/r0 - zh1) / 2;
      expandAxisRange(yrange, extra, ymin, ymax);
    }
    if (r1 < r0) {
      const extra = (zw1 * r0/r1 - zw1) / 2;
      expandAxisRange(xrange, extra, xmin, xmax);
    }
    Plotly.relayout(gd, update);
  }
}
function unbindAndReset(gd, handler) {
  gd.removeListener('plotly_relayout', handler);
  const _layout = {
    xaxis: {scaleanchor: 'y', scaleratio: 1, autorange: true},
    yaxis: {autorange: true}
  };
  return Plotly.relayout(gd, _layout).then(afterPlot);
}
function getExtremes(gd, traceIndex, axisId) {
  const extremes = gd._fullData[traceIndex]._extremes[axisId];
  return [extremes.min[0].val, extremes.max[0].val];
}
function expandAxisRange(range, extra, min, max) {
  const reversed = range[0] > range[1];
  if (reversed) {
    [range[0], range[1]] = [range[1], range[0]];
  }
  let shift = 0;
  if (range[0] - extra < min) {
    const out = min - (range[0] - extra);
    const room = max - (range[1] + extra);
    shift = out <= room ? out : (out + room) / 2;
  }
  else if (range[1] + extra > max) {
    const out = range[1] + extra - max;
    const room = range[0] - extra - min;
    shift = out <= room ? -out : -(out + room) / 2;
  }
  range[0] = range[0] - extra + shift;
  range[1] = range[1] + extra + shift;
  if (reversed) {
    [range[0], range[1]] = [range[1], range[0]];
  }
}
<script src="https://cdn.plot.ly/plotly-2.26.0.min.js"></script>
<div id="plot"></div>

2

Answers


  1. Chosen as BEST ANSWER

    Ready-to-use snippet based on @EricLavault's answer:

    const z = Array.from({ length: 50 }, () => Array.from({ length: 20 }, () => Math.floor(Math.random() * 255)));
    const z2 = [[[255, 0, 0], [0, 255, 255]], [[0, 0, 255], [255, 0, 255]]];
    const data = [{ type: "image", z: z2 }, { type: "heatmap", z: z, opacity: 0.3 }];
    const layout = { 
      xaxis: { constrain: 'range', constraintoward: 'center', scaleanchor: "y", scaleratio: 1, zeroline: false, showgrid: false },
      yaxis: { constrain: 'range', constraintoward: 'center', showgrid: false, zeroline: false }
    };
    Plotly.newPlot('plot', data, layout).then(afterPlot);
    function afterPlot(gd) {
      const xrange = gd._fullLayout.xaxis.range;
      const yrange = gd._fullLayout.yaxis.range;
      const xrange_init = [...xrange];
      const yrange_init = [...yrange];
      const zw0 = Math.abs(xrange[1] - xrange[0]);
      const zh0 = Math.abs(yrange[1] - yrange[0]);
      const r0 = Number((zw0 / zh0).toPrecision(6));
      const update = { 'xaxis.range': xrange, 'yaxis.range': yrange, 'xaxis.scaleanchor': false, 'yaxis.scaleanchor': false };
      Plotly.relayout(gd, update);
      gd.on('plotly_relayout', relayoutHandler);
      function relayoutHandler(e) {
        if (e.width || e.height) {
          return unbindAndReset(gd, relayoutHandler);
        }
        if (e['xaxis.autorange'] || e['yaxis.autorange']) {
          [xrange[0], xrange[1]] = xrange_init;
          [yrange[0], yrange[1]] = yrange_init;
          return Plotly.relayout(gd, update);
        }
        const zw1 = Math.abs(xrange[1] - xrange[0]);
        const zh1 = Math.abs(yrange[1] - yrange[0]);
        const r1 = Number((zw1 / zh1).toPrecision(6));
        if (r1 === r0) {
          return;
        }
        if (r1 > r0) {
          const extra = (zh1 * r1/r0 - zh1) / 2;
          expandAxisRange(yrange, extra);
        }
        if (r1 < r0) {
          const extra = (zw1 * r0/r1 - zw1) / 2;
          expandAxisRange(xrange, extra);
        }
        Plotly.relayout(gd, update);
      }
    }
    function unbindAndReset(gd, handler) {
      gd.removeListener('plotly_relayout', handler);
      const _layout = {
        xaxis: {scaleanchor: 'y', scaleratio: 1, autorange: true},
        yaxis: {autorange: true}
      };
      return Plotly.relayout(gd, _layout).then(afterPlot);
    }
    function expandAxisRange(range, extra) {
      const reversed = range[0] > range[1];
      range[0] += reversed ? +extra : -extra;
      range[1] += reversed ? -extra : +extra;
    }
    <script src="https://cdn.plot.ly/plotly-2.26.0.min.js"></script>
    <div id="plot"></div>


  2. In fact, I added a parameter (that I shouldn’t have added), which puts the plotted data visibility before the actual zoom shape drawn by the user when re-centering (ie. expand the axis range "towards more data" so that more data are visible rather than expanding evenly around the zoom window even if it includes an empty area). I knew this could be problematic so I ensured that this range "shift" can be easily discarded, but I completely forgot to mention this in the previous answer.

    So, this happens in the expandAxisRange() function, you can comment or just remove the lines involving the shift parameter, which simplify things as you don’t need the min & max parameters either, nor the getExtremes() function), eg.

    function expandAxisRange(range, extra) {
      const reversed = range[0] > range[1];
      range[0] += reversed ? +extra : -extra;
      range[1] += reversed ? -extra : +extra;
    }
    
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