170 lines
5.4 KiB
JavaScript
170 lines
5.4 KiB
JavaScript
// Source from https://github.com/ironwallaby/delaunay
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window.delaunay = function() {};
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window.delaunay.Triangle = function (a, b, c) {
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this.a = a
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this.b = b
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this.c = c
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var A = b.x - a.x,
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B = b.y - a.y,
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C = c.x - a.x,
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D = c.y - a.y,
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E = A * (a.x + b.x) + B * (a.y + b.y),
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F = C * (a.x + c.x) + D * (a.y + c.y),
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G = 2 * (A * (c.y - b.y) - B * (c.x - b.x)),
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minx, miny, dx, dy
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/* If the points of the triangle are collinear, then just find the
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* extremes and use the midpoint as the center of the circumcircle. */
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if(Math.abs(G) < 1e-12) {
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minx = Math.min(a.x, b.x, c.x)
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miny = Math.min(a.y, b.y, c.y)
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dx = (Math.max(a.x, b.x, c.x) - minx) * 0.5
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dy = (Math.max(a.y, b.y, c.y) - miny) * 0.5
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this.x = minx + dx
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this.y = miny + dy
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this.r = dx * dx + dy * dy
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}
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else {
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this.x = (D*E - B*F) / G
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this.y = (A*F - C*E) / G
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dx = this.x - a.x
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dy = this.y - a.y
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this.r = dx * dx + dy * dy
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}
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}
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function byX(a, b) {
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return b.x - a.x
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}
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function dedup(edges) {
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var j = edges.length,
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a, b, i, m, n
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outer: while(j) {
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b = edges[--j]
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a = edges[--j]
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i = j
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while(i) {
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n = edges[--i]
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m = edges[--i]
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if((a === m && b === n) || (a === n && b === m)) {
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edges.splice(j, 2)
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edges.splice(i, 2)
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j -= 2
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continue outer
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}
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}
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}
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}
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window.delaunay.triangulate = function (vertices) {
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/* Bail if there aren't enough vertices to form any triangles. */
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if(vertices.length < 3)
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return []
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/* Ensure the vertex array is in order of descending X coordinate
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* (which is needed to ensure a subquadratic runtime), and then find
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* the bounding box around the points. */
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vertices.sort(byX)
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var i = vertices.length - 1,
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xmin = vertices[i].x,
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xmax = vertices[0].x,
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ymin = vertices[i].y,
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ymax = ymin
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while(i--) {
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if(vertices[i].y < ymin) ymin = vertices[i].y
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if(vertices[i].y > ymax) ymax = vertices[i].y
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}
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/* Find a supertriangle, which is a triangle that surrounds all the
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* vertices. This is used like something of a sentinel value to remove
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* cases in the main algorithm, and is removed before we return any
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* results.
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*
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* Once found, put it in the "open" list. (The "open" list is for
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* triangles who may still need to be considered; the "closed" list is
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* for triangles which do not.) */
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var dx = xmax - xmin,
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dy = ymax - ymin,
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dmax = (dx > dy) ? dx : dy,
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xmid = (xmax + xmin) * 0.5,
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ymid = (ymax + ymin) * 0.5,
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open = [
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new window.delaunay.Triangle(
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{x: xmid - 20 * dmax, y: ymid - dmax, __sentinel: true},
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{x: xmid , y: ymid + 20 * dmax, __sentinel: true},
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{x: xmid + 20 * dmax, y: ymid - dmax, __sentinel: true}
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)
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],
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closed = [],
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edges = [],
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j, a, b
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/* Incrementally add each vertex to the mesh. */
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i = vertices.length
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while(i--) {
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/* For each open triangle, check to see if the current point is
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* inside it's circumcircle. If it is, remove the triangle and add
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* it's edges to an edge list. */
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edges.length = 0
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j = open.length
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while(j--) {
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/* If this point is to the right of this triangle's circumcircle,
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* then this triangle should never get checked again. Remove it
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* from the open list, add it to the closed list, and skip. */
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dx = vertices[i].x - open[j].x
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if(dx > 0 && dx * dx > open[j].r) {
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closed.push(open[j])
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open.splice(j, 1)
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continue
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}
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/* If not, skip this triangle. */
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dy = vertices[i].y - open[j].y
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if(dx * dx + dy * dy > open[j].r)
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continue
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/* Remove the triangle and add it's edges to the edge list. */
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edges.push(
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open[j].a, open[j].b,
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open[j].b, open[j].c,
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open[j].c, open[j].a
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)
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open.splice(j, 1)
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}
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/* Remove any doubled edges. */
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dedup(edges)
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/* Add a new triangle for each edge. */
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j = edges.length
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while(j) {
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b = edges[--j]
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a = edges[--j]
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open.push(new window.delaunay.Triangle(a, b, vertices[i]))
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}
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}
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/* Copy any remaining open triangles to the closed list, and then
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* remove any triangles that share a vertex with the supertriangle. */
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Array.prototype.push.apply(closed, open)
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i = closed.length
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while(i--)
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if(closed[i].a.__sentinel ||
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closed[i].b.__sentinel ||
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closed[i].c.__sentinel)
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closed.splice(i, 1)
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/* Yay, we're done! */
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return closed
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}
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