public void ConvexHullFrom3DCloudAndNormal()
{
Name = nameof(ConvexHullFrom3DCloudAndNormal);
var L = Polygon.L(2, 4, 1).TransformedPolygon(new Transform().Moved(3, 4));
var jitteredVertices = L.Vertices.ToList();
jitteredVertices[0] = new Transform().Moved(0, 0, 0.1).OfPoint(jitteredVertices[0]);
jitteredVertices[1] = new Transform().Moved(0, 0, -0.1).OfPoint(jitteredVertices[1]);
var flatHull = ConvexHull.FromPoints(L.Vertices);
var jitteredHull = ConvexHull.FromPointsInPlane(jitteredVertices, Vector3.ZAxis);
Assert.True(jitteredHull.IsAlmostEqualTo(flatHull), "Jittered flat hull doesn't match original hull.");
// Simple transform allows simple polygon comparison for Assert.
var simpleTransform = new Transform(Vector3.Origin, new Vector3(1, 0, 0).Unitized(), 0);
var liftedPoints = jitteredVertices.Select(p => simpleTransform.OfPoint(p));
var liftedHull = ConvexHull.FromPointsInPlane(liftedPoints, Vector3.XAxis);
Assert.True(liftedHull.IsAlmostEqualTo(flatHull.TransformedPolygon(simpleTransform)), "The lifted hull doesn't match the transformed flat hull.");
// Complex transform can be used for visual inspection of the resulting frame.
var complexTransform = new Transform(Vector3.Origin, new Vector3(1, 2, 0).Unitized(), 0);
var complexLiftedPoints = jitteredVertices.Select(p => complexTransform.OfPoint(p));
var complexLiftedHull = ConvexHull.FromPointsInPlane(complexLiftedPoints, Vector3.XAxis);
var complexliftedHull2 = ConvexHull.FromPointsInPlane(complexLiftedPoints, new Vector3(1, 1, 0));;
this.Model.AddElement(L);
this.Model.AddElement(new ModelCurve(flatHull, new Material("aqua", Colors.Aqua)));
this.Model.AddElement(new ModelCurve(jitteredHull, new Material("cobalt", Colors.Cobalt)));
this.Model.AddElements(CylinderAtPoints(complexLiftedPoints));
this.Model.AddElement(new ModelCurve(complexLiftedHull, new Material("cobalt", Colors.Cobalt)));
this.Model.AddElement(new ModelCurve(complexliftedHull2, new Material("crimson", Colors.Crimson)));
}
