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Jun 20, 2023
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Distance to a segment
Also listed in…
Geo
function segmentProject(x1, y1, x2, y2, x, y) {
const dx = x2 - x1;
const dy = y2 - y1;
const a = dx * (x - x1) + dy * (y - y1);
const b = dx * (x2 - x) + dy * (y2 - y);
const t = a > 0 && b > 0 ? b / (a + b) : +(b > a);
return { t, dist2: (x - x2 + t * dx) ** 2 + (y - y2 + t * dy) ** 2 };
}
function showDist(x, y) {
return html`<div style="display:flex">${Plot.plot({
width: 400,
aspectRatio: 1,
color: { scheme: "Blues", reverse: true },
caption: "distance",
marks: [
Plot.contour({
fill: (u, v) =>
Math.sqrt(segmentProject(x[0], y[0], x[1], y[1], u, v).dist2),
x1: -1,
x2: 1,
y1: -1,
y2: 1
}),
Plot.line(
{ length: 2 },
{ x, y, stroke: "white", marker: true, render: interactiveRender(x, y) }
)
]
})}
${Plot.plot({
width: 400,
aspectRatio: 1,
color: { scheme: "BuYlRd", type: "linear" },
caption: "weight of p1",
marks: [
Plot.raster({
fill: (u, v) => segmentProject(x[0], y[0], x[1], y[1], u, v).t,
x1: -1,
x2: 1,
y1: -1,
y2: 1
}),
Plot.line(
{ length: 2 },
{
x,
y,
stroke: "white",
marker: true,
render: interactiveRender(x, y)
}
)
]
})}`;
}
function interactiveRender(x, y) {
return (index, scales, values, dimensions, context, next) => {
const g = next(index, scales, values, dimensions, context);
const line = d3.select(g).append("line");
const circle = d3.select(g).append("circle").attr("r", 3);
d3.select(context.ownerSVGElement)
.style("pointer-events", "all")
.on(
"pointerout",
(event) =>
event.target === context.ownerSVGElement &&
(line.style("stroke", "none"), circle.style("fill", "none"))
)
.on("pointermove", (event) => {
const [x0, y0] = d3.pointer(event);
const u = scales.x.invert(x0);
const v = scales.y.invert(y0);
const { t } = segmentProject(x[0], y[0], x[1], y[1], u, v);
circle.style("fill", "white").attr("cx", x0).attr("cy", y0);
line
.style("stroke", "white")
.attr("x1", x0)
.attr("y1", y0)
.attr("x2", scales.x(t * x[0] + (1 - t) * x[1]))
.attr("y2", scales.y(t * y[0] + (1 - t) * y[1]));
});
return g;
};
}
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