cornerstone-math
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Math and computation geometry functionality for cornerstone
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<a href="../index.html">all files</a> / <a href="index.html">src/</a> Line3.js
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<span class="cline-any cline-neutral"> </span></td><td class="text"><pre class="prettyprint lang-js">import Vector3 from './vector3.js';
import { clamp, approximatelyEquals } from './math.js';
// Copied from THREE.JS
/**
* @author bhouston / http://exocortex.com
*/
class Line3 {
constructor (start, end) {
this.start = (start !== undefined) ? start : new Vector3();
this.end = (end !== undefined) ? end : new Vector3();
}
set (start, end) <span class="fstat-no" title="function not covered" >{</span>
<span class="cstat-no" title="statement not covered" > this.start.copy(start);</span>
<span class="cstat-no" title="statement not covered" > this.end.copy(end);</span>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
copy (line) {
this.start.copy(line.start);
this.end.copy(line.end);
return this;
}
center (optionalTarget) <span class="fstat-no" title="function not covered" >{</span>
const result = <span class="cstat-no" title="statement not covered" >optionalTarget || new Vector3();</span>
<span class="cstat-no" title="statement not covered" > return result.addVectors(this.start, this.end).multiplyScalar(0.5);</span>
}
delta (optionalTarget) <span class="fstat-no" title="function not covered" >{</span>
const result = <span class="cstat-no" title="statement not covered" >optionalTarget || new Vector3();</span>
<span class="cstat-no" title="statement not covered" > return result.subVectors(this.end, this.start);</span>
}
distanceSq () <span class="fstat-no" title="function not covered" >{</span>
<span class="cstat-no" title="statement not covered" > return this.start.distanceToSquared(this.end);</span>
}
distance () {
return this.start.distanceTo(this.end);
}
at (t, optionalTarget) <span class="fstat-no" title="function not covered" >{</span>
const result = <span class="cstat-no" title="statement not covered" >optionalTarget || new Vector3();</span>
<span class="cstat-no" title="statement not covered" > return this.delta(result).multiplyScalar(t).add(this.start);</span>
}
closestPointToPointParameter (point, clampToLine) {
const startP = new Vector3();
const startEnd = new Vector3();
startP.subVectors(point, this.start);
startEnd.subVectors(this.end, this.start);
const startEnd2 = startEnd.dot(startEnd);
const startEnd_startP = startEnd.dot(startP);
let t = startEnd_startP / startEnd2;
if (clampToLine) {
t = clamp(t, 0, 1);
}
return t;
}
closestPointToPoint (point, clampToLine, optionalTarget) <span class="fstat-no" title="function not covered" >{</span>
const t = <span class="cstat-no" title="statement not covered" >this.closestPointToPointParameter(point, clampToLine);</span>
const result = <span class="cstat-no" title="statement not covered" >optionalTarget || new Vector3();</span>
<span class="cstat-no" title="statement not covered" > return this.delta(result).multiplyScalar(t).add(this.start);</span>
}
applyMatrix4 (matrix) <span class="fstat-no" title="function not covered" >{</span>
<span class="cstat-no" title="statement not covered" > this.start.applyMatrix4(matrix);</span>
<span class="cstat-no" title="statement not covered" > this.end.applyMatrix4(matrix);</span>
<span class="cstat-no" title="statement not covered" > return this;</span>
}
equals (line) <span class="fstat-no" title="function not covered" >{</span>
<span class="cstat-no" title="statement not covered" > return line.start.equals(this.start) && line.end.equals(this.end);</span>
}
clone () {
return new Line3().copy(this);
}
intersectLine (line) <span class="fstat-no" title="function not covered" >{</span>
// http://stackoverflow.com/questions/2316490/the-algorithm-to-find-the-point-of-intersection-of-two-3d-line-segment/10288710#10288710
// Consider two lines r1 and r2, represented by the following parametric equations:A + vt and B + us, respectively.
// Where A is a point of r1 and v a vector parallel to line.
// And B is a point of r2 and u a vector parallel to line.
// 'this' represents r2 and 'line' represents r1
const da = <span class="cstat-no" title="statement not covered" >this.end.clone().sub(this.start);</span> //u
const db = <span class="cstat-no" title="statement not covered" >line.end.clone().sub(line.start);</span> //v
const dc = <span class="cstat-no" title="statement not covered" >line.start.clone().sub(this.start);</span> // AB
const daCrossDb = <span class="cstat-no" title="statement not covered" >da.clone().cross(db);</span>
const dcCrossDb = <span class="cstat-no" title="statement not covered" >dc.clone().cross(db);</span>
// Lines are not coplanar, stop here
// Coplanar only if the vectors AB, u, v are linearly dependent, i.e AB . (u × v) = 0
const coplanarResult = <span class="cstat-no" title="statement not covered" >dc.dot(daCrossDb);</span>
const normalizedCoplanarResult =
<span class="cstat-no" title="statement not covered" > coplanarResult / (dc.lengthSq() * daCrossDb.lengthSq());</span>
<span class="cstat-no" title="statement not covered" > if (!approximatelyEquals(normalizedCoplanarResult, 0)) {</span>
<span class="cstat-no" title="statement not covered" > return;</span>
}
const s = <span class="cstat-no" title="statement not covered" >dcCrossDb.dot(daCrossDb) / daCrossDb.lengthSq();</span>
// Make sure we have an intersection
<span class="cstat-no" title="statement not covered" > if (s > 1.0 || isNaN(s)) {</span>
<span class="cstat-no" title="statement not covered" > return;</span>
}
const intersection = <span class="cstat-no" title="statement not covered" >this.start.clone().add(da.clone().multiplyScalar(s));</span>
const distanceTest = <span class="cstat-no" title="statement not covered" >intersection.clone().sub(line.start).lengthSq() + intersection.clone().sub(line.end).lengthSq();</span>
<span class="cstat-no" title="statement not covered" > if (distanceTest <= line.distanceSq()) {</span>
<span class="cstat-no" title="statement not covered" > return intersection;</span>
}
<span class="cstat-no" title="statement not covered" > return;</span>
}
}
export default Line3;
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