public static void line_line_basic_intersection_result()
{
var a = new Line2(new Point2(3, 3), new Vector2(1, 1));
var b = new Line2(new Point2(0, 1), new Vector2(0, 1));
var c = new Line2(new Point2(2, 2), new Vector2(-1, -1));
var d = new Line2(new Point2(2, 3), new Vector2(-1, -1));
a.Intersection(b).Should().Be(new Point2(0, 0));
a.Intersection(c).Should().Be(c);
c.Intersection(a).Should().Be(c);
a.Intersection(d).Should().BeNull();
}
private BezierSubdivision TangentIntersectionApproximation(Neuron neuron, out double length)
{
var firstPoint = neuron.Nucleus.Pos;
var lastPoint = neuron.Terminal.Nucleus.Pos;
var dir = Math.Sign(neuron.Terminal.Nucleus.SegmentIndex - neuron.Nucleus.SegmentIndex);
var line1 = Line2.FromPoints(neuron.Nucleus.PathPoint, _path[neuron.Nucleus.SegmentIndex + dir]);
var line2 = Line2.FromPoints(neuron.Terminal.Nucleus.PathPoint, _path[neuron.Terminal.Nucleus.SegmentIndex - dir]);
BezierSubdivision bs;
if (Line2.Intersection(line1, line2, out var intersection))
{
bs = new BezierSubdivision(new List <Vector2> {
firstPoint, intersection, lastPoint
});
length = bs.SubdividedApproximationLength();
}
else
{
bs = new BezierSubdivision(new List <Vector2> {
firstPoint, lastPoint
});
length = Vector2.Distance(firstPoint, lastPoint);
}
return(bs);
}
public void IntersectionTest2()
{
var l1 = Line2.FromSlopeAndYIntercept(slope: 1, yIntercept: 1);
var l2 = Line2.FromSlopeAndYIntercept(slope: -1, yIntercept: 1);
var intersection = Line2.Intersection(l1, l2);
Assert.Equal(new Vector2(0, 1), intersection);
}
public void IntersectionTest1()
{
var l1 = Line2.XEquals(3);
var l2 = Line2.YEquals(4);
var intersection = Line2.Intersection(l1, l2);
Assert.Equal(new Vector2(3, 4), intersection);
}
public static void line_line_intersection_result()
{
var a = new Line2(A, B);
var b = new Line2(C, D);
var forward = a.Intersection(b);
var reverse = b.Intersection(a);
forward.Should().NotBeNull();
forward.Should().Be(reverse);
}
public static void line_line_intersection_result()
{
var a = new Line2(A, B);
var b = new Line2(C, D);
var forward = a.Intersection(b);
var reverse = b.Intersection(a);
forward.Should().NotBeNull();
forward.Should().Be(reverse);
}
public override void DrawYourself(DrawingContext context, CoordinateConverter converter, RelevantObjectPreferences preferences, Pen pen)
{
if (!Line2.Intersection(new Box2 {
Left = -1000, Top = -1000, Right = 1512, Bottom = 1384
}, Child, out var points))
{
return;
}
var cPos1 = converter.ToDpi(converter.EditorToRelativeCoordinate(points[0]));
var cPos2 = converter.ToDpi(converter.EditorToRelativeCoordinate(points[1]));
context.DrawLine(pen, new Point(cPos1.X, cPos1.Y), new Point(cPos2.X, cPos2.Y));
}
public RelevantLine[] GetRelevantObjects(RelevantLine line1, RelevantLine line2)
{
if (!Line2.Intersection(line1.Child, line2.Child, out var intersection))
{
return(null);
}
var dir1Norm = Vector2.Normalize(line1.Child.DirectionVector);
var dir2Norm = Vector2.Normalize(line2.Child.DirectionVector);
return(new[] {
new RelevantLine(new Line2(intersection, dir1Norm + dir2Norm)),
new RelevantLine(new Line2(intersection, dir1Norm - dir2Norm))
});
}
public static void line_ray_intersection_result()
{
var a1 = new Line2(A, B);
var a2 = new Line2(B, A);
var b = new Ray2(C, D);
var forward1 = a1.Intersection(b);
var forward2 = a2.Intersection(b);
var reverse1 = b.Intersection(a1);
var reverse2 = b.Intersection(a2);
forward1.Should().NotBeNull();
forward1.Should().Be(forward2);
forward1.Should().Be(reverse1);
forward1.Should().Be(reverse2);
}
public static void line_ray_intersection_result()
{
var a1 = new Line2(A, B);
var a2 = new Line2(B, A);
var b = new Ray2(C, D);
var forward1 = a1.Intersection(b);
var forward2 = a2.Intersection(b);
var reverse1 = b.Intersection(a1);
var reverse2 = b.Intersection(a2);
forward1.Should().NotBeNull();
forward1.Should().Be(forward2);
forward1.Should().Be(reverse1);
forward1.Should().Be(reverse2);
}
public static void line_segment_intersection_result()
{
var a1 = new Line2(A, B);
var a2 = new Line2(B, A);
var b1 = new Segment2(C, D);
var b2 = new Segment2(D, C);
var forward1 = a1.Intersection(b1);
var forward2 = a2.Intersection(b2);
var reverse1 = b1.Intersection(a1);
var reverse2 = b2.Intersection(a2);
forward1.Should().NotBeNull();
forward1.Should().Be(forward2);
forward1.Should().Be(reverse1);
forward1.Should().Be(reverse2);
}
public static void line_segment_intersection_result()
{
var a1 = new Line2(A, B);
var a2 = new Line2(B, A);
var b1 = new Segment2(C, D);
var b2 = new Segment2(D, C);
var forward1 = a1.Intersection(b1);
var forward2 = a2.Intersection(b2);
var reverse1 = b1.Intersection(a1);
var reverse2 = b2.Intersection(a2);
forward1.Should().NotBeNull();
forward1.Should().Be(forward2);
forward1.Should().Be(reverse1);
forward1.Should().Be(reverse2);
}
public static void line_ray_basic_intersection_result()
{
var a = new Line2(new Point2(3, 3), new Vector2(1, 1));
var b = new Ray2(new Point2(0, 1), new Vector2(0, 1));
var c = new Ray2(new Point2(2, 2), new Vector2(-1, -1));
var d = new Ray2(new Point2(2, 3), new Vector2(-1, -1));
a.Intersection(b.GetReverse()).Should().Be(Point2.Zero);
a.Intersection(c).Should().Be(c);
a.Intersection(c.GetReverse()).Should().Be(c.GetReverse());
a.Intersection(b).Should().BeNull();
a.Intersection(d).Should().BeNull();
a.Intersection(d.GetReverse()).Should().BeNull();
}
public override bool Intersection(IRelevantObject other, out Vector2[] intersections)
{
switch (other)
{
case RelevantPoint point:
intersections = new[] { point.Child };
return(Precision.AlmostEquals(Line2.Distance(Child, point.Child), 0));
case RelevantLine line: {
bool isIntersecting = Line2.Intersection(Child, line.Child, out var intersection);
intersections = new[] { intersection };
return(isIntersecting);
}
case RelevantCircle circle:
return(Circle.Intersection(circle.Child, Child, out intersections));
default:
intersections = new Vector2[0];
return(false);
}
}
private Vector2?TangentIntersectionApproximation(double startIndex, double endIndex)
{
var p1 = GetContinuousPosition(startIndex);
var p2 = GetContinuousPosition(endIndex);
var a1 = GetContinuousAngle(startIndex);
var a2 = GetContinuousAngle(endIndex);
if (Math.Abs(GetSmallestAngle(a1, a2)) > 0.1)
{
var t1 = new Line2(p1, a1);
var t2 = new Line2(p2, a2);
var middleAnchor = Line2.Intersection(t1, t2);
if (middleAnchor != Vector2.NaN &&
Vector2.DistanceSquared(p1, middleAnchor) > 0.5 &&
Vector2.DistanceSquared(p2, middleAnchor) > 0.5)
{
return(middleAnchor);
}
}
return(null);
}
public RelevantPoint GetLineLineIntersection(RelevantLine line1, RelevantLine line2)
{
return(Line2.Intersection(line1.Child, line2.Child, out var intersection) ? new RelevantPoint(intersection) : null);
}
public static void line_line_basic_intersection_result() {
var a = new Line2(new Point2(3, 3), new Vector2(1, 1));
var b = new Line2(new Point2(0, 1), new Vector2(0, 1));
var c = new Line2(new Point2(2, 2), new Vector2(-1, -1));
var d = new Line2(new Point2(2, 3), new Vector2(-1, -1));
a.Intersection(b).Should().Be(new Point2(0, 0));
a.Intersection(c).Should().Be(c);
c.Intersection(a).Should().Be(c);
a.Intersection(d).Should().BeNull();
}
public static void line_ray_basic_intersection_result() {
var a = new Line2(new Point2(3, 3), new Vector2(1, 1));
var b = new Ray2(new Point2(0, 1), new Vector2(0, 1));
var c = new Ray2(new Point2(2, 2), new Vector2(-1, -1));
var d = new Ray2(new Point2(2, 3), new Vector2(-1, -1));
a.Intersection(b.GetReverse()).Should().Be(Point2.Zero);
a.Intersection(c).Should().Be(c);
a.Intersection(c.GetReverse()).Should().Be(c.GetReverse());
a.Intersection(b).Should().BeNull();
a.Intersection(d).Should().BeNull();
a.Intersection(d.GetReverse()).Should().BeNull();
}
public Vector2 FindTrapezoidDiagonalIntersection()
{
List <Line2> edges = new List <Line2>();
// m_renderEngine.DrawPoints(m_projector.ImageToWorld(this.boundary2), Color.yellow);
List <Vector2> boundpoints = new List <Vector2>(this.boundary2);
//find all lines
double thred = 5;
RansacLine2d ransac = new RansacLine2d(thred, 0.9);
edges.Clear();
do
{
Line2 oneline = ransac.Estimate(boundpoints);
inlier_list.Add(new List <Vector2>(ransac.inliers));
boundpoints = boundpoints.Except(ransac.inliers).ToList();
edges.Add(oneline);
} while (edges.Last() != null);
edges.RemoveAt(edges.Count - 1);
Console.WriteLine("edges number: {0}", edges.Count());
//find two most parallel lines, also not the same line
double minangle = -1;
for (int i = 0; i < edges.Count - 1; i++)
{
for (int j = i + 1; j < edges.Count; j++)
{
double angle = Mathf.Abs(Vector3.Dot(edges[i].dir, edges[j].dir));
if (angle > minangle && MinDisBetweenLine2(edges[i], edges[j]) > 2 * thred)
{
minangle = angle;
firstbase = i;
secondbase = j;
}
}
}
//refine bases
foreach (Vector2 p in boundary2)
{
if (edges[firstbase].DistanceToLine(p) < 2 * thred)
{
this.inlier_list[firstbase].Add(p);
}
if (edges[secondbase].DistanceToLine(p) < 2 * thred)
{
this.inlier_list[secondbase].Add(p);
}
}
edges[firstbase] = ransac.Estimate(this.inlier_list[firstbase]);
edges[secondbase] = ransac.Estimate(this.inlier_list[secondbase]);
edges[firstbase].UpdateEnd(this.inlier_list[firstbase]);
edges[secondbase].UpdateEnd(this.inlier_list[secondbase]);
//m_renderEngine.DrawLine(m_projector.Line2ToLine3(edges[firstbase]), Color.red);
//m_renderEngine.DrawLine(m_projector.Line2ToLine3(edges[secondbase]), Color.blue);
corner_points.Add(edges[firstbase].start);
corner_points.Add(edges[firstbase].end);
corner_points.Add(edges[secondbase].end);
corner_points.Add(edges[secondbase].start);
// compute Diagonal Intersection point as 3d rectangle center
// same direction
Line2 diagonal1 = new Line2(edges[firstbase].start, edges[secondbase].end);
Line2 diagonal2 = new Line2(edges[secondbase].start, edges[firstbase].end);
// m_renderEngine.DrawLine(m_projector.Line2ToLine3(diagonal1), Color.yellow);
// m_renderEngine.DrawLine(m_projector.Line2ToLine3(diagonal2), Color.yellow);
Vector2 inter = diagonal1.Intersection(diagonal2);
if (Utility.PointInTrapezoid(inter, corner_points))
{
return(inter);
}
// not same direction
diagonal1 = new Line2(edges[firstbase].start, edges[secondbase].start);
diagonal2 = new Line2(edges[secondbase].end, edges[firstbase].end);
//m_renderEngine.DrawLine(m_projector.Line2ToLine3(diagonal1), Color.white);
//m_renderEngine.DrawLine(m_projector.Line2ToLine3(diagonal2), Color.white);
Vector2 inter2 = diagonal1.Intersection(diagonal2);
if (Utility.PointInTrapezoid(inter2, corner_points))
{
edges[secondbase].Flip();
return(inter2);
}
return(new Vector2());
////compute area
//double area = (edges[firstbase].Length() + edges[secondbase].Length()) * MeanDisBetweenLine2(edges[firstbase], edges[secondbase]) / 2.0;
//double areafromimg = IExtension.GetMaskPoints(this.img).Count();
//double error = Math.Abs(areafromimg - area);
//error /= areafromimg;
//Debug.Log("Like a trapezoid error: " + error);
//return error;
}