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February 28, 2024 13:10
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Find line-line and polygon-line intersection
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function Intersection(status) { | |
if ( arguments.length > 0 ) { | |
this.init(status); | |
} | |
} | |
/***** | |
* | |
* init | |
* | |
*****/ | |
Intersection.prototype.init = function(status) { | |
this.status = status; | |
this.points = new Array(); | |
}; | |
/***** | |
* | |
* appendPoint | |
* | |
*****/ | |
Intersection.prototype.appendPoint = function(point) { | |
this.points.push(point); | |
}; | |
/***** | |
* | |
* appendPoints | |
* | |
*****/ | |
Intersection.prototype.appendPoints = function(points) { | |
this.points = this.points.concat(points); | |
}; | |
Intersection.intersectLineLine = function(a1, a2, b1, b2) { | |
var result; | |
var ua_t = (b2.x - b1.x) * (a1.y - b1.y) - (b2.y - b1.y) * (a1.x - b1.x); | |
var ub_t = (a2.x - a1.x) * (a1.y - b1.y) - (a2.y - a1.y) * (a1.x - b1.x); | |
var u_b = (b2.y - b1.y) * (a2.x - a1.x) - (b2.x - b1.x) * (a2.y - a1.y); | |
if ( u_b != 0 ) { | |
var ua = ua_t / u_b; | |
var ub = ub_t / u_b; | |
if ( 0 <= ua && ua <= 1 && 0 <= ub && ub <= 1 ) { | |
result = new Intersection("Intersection"); | |
result.points.push( | |
[ | |
a1.x + ua * (a2.x - a1.x), | |
a1.y + ua * (a2.y - a1.y) | |
] | |
); | |
} else { | |
result = new Intersection("No Intersection"); | |
} | |
} else { | |
if ( ua_t == 0 || ub_t == 0 ) { | |
result = new Intersection("Coincident"); | |
} else { | |
result = new Intersection("Parallel"); | |
} | |
} | |
return result; | |
}; | |
Intersection.intersectLinePolygon = function(a1, a2, points) { | |
var result = new Intersection("No Intersection"); | |
var length = points.length; | |
for ( var i = 0; i < length; i++ ) { | |
var b1 = points[i]; | |
var b2 = points[(i+1) % length]; | |
var inter = Intersection.intersectLineLine(a1, a2, b1, b2); | |
result.appendPoints(inter.points); | |
} | |
if ( result.points.length > 0 ) result.status = "Intersection"; | |
return result; | |
}; |
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Soure: http://www.kevlindev.com/gui/math/intersection/