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MatrixFactoryFromCoordinateSystem Method

Returns a coordinate transformation matrix defined by the given coordinate system. With the returned matrix points can be transformed from the given coordinate system to the current work plane coordinate system.

Namespace:  Tekla.Structures.Geometry3d
Assembly:  Tekla.Structures (in Tekla.Structures.dll) Version: 2019.0.0.0 (2019.0.0.0)
public static Matrix FromCoordinateSystem(
	CoordinateSystem CoordSys


Type: Tekla.Structures.Geometry3dCoordinateSystem
The coordinate system to transform points from.

Return Value

Type: Matrix
The transformation matrix defined by the given coordinate system.
This example shows the extremes of the beam in the current work plane coordinate system.
using System;
using System.Globalization;
using Tekla.Structures.Geometry3d;
using Tekla.Structures.Model;
using Tekla.Structures.Model.UI;

public class Example
       private readonly Model _Model = new Model();
       private static GraphicsDrawer GraphicsDrawer = new GraphicsDrawer();
       private readonly static Color TextColor = new Color(1, 0, 1);

       //Shows the beam's extremes in the current work plane coordinates
       private void ShowExtremesInCurrentCoordinates(Beam Beam)
           //Set the transformation plane to be in another location than global
           //Comment these lines out if you have done that already
           TransformationPlane CurrentTP = _Model.GetWorkPlaneHandler().GetCurrentTransformationPlane();
           _Model.GetWorkPlaneHandler().SetCurrentTransformationPlane(new TransformationPlane(Beam.GetCoordinateSystem()));

           //Update the beam's extremes to the new transformation plane
           Point LocalStartPoint = Beam.StartPoint;
           Point LocalEndPoint = Beam.EndPoint;


           //Get the matrix to transform the coordinates from local to current
           Matrix TransformationMatrix = MatrixFactory.FromCoordinateSystem(Beam.GetCoordinateSystem());

           //Transform the points from local to the current work plane coordinate system
           Point CurrentStartPoint = TransformationMatrix.Transform(LocalStartPoint);
           Point CurrentEndPoint = TransformationMatrix.Transform(LocalEndPoint);

           //Display results
           DrawCoordinateSytem(new CoordinateSystem());
           GraphicsDrawer.DrawText(CurrentStartPoint, FormatPointCoordinates(CurrentStartPoint), TextColor);
           GraphicsDrawer.DrawText(CurrentEndPoint, FormatPointCoordinates(CurrentEndPoint), TextColor);

       //Draws the coordinate system in which the values are shown
       private static void DrawCoordinateSytem(CoordinateSystem CoordinateSystem)
           DrawVector(CoordinateSystem.Origin, CoordinateSystem.AxisX, "X");
           DrawVector(CoordinateSystem.Origin, CoordinateSystem.AxisY, "Y");

       //Draws the vector of the coordinate system
       private static void DrawVector(Point StartPoint, Vector Vector, string Text)
           Color Color = new Color(0, 1, 1);
           const double Radians = 0.43;

           Vector = Vector.GetNormal();
           Vector Arrow01 = new Vector(Vector);

           Point EndPoint = new Point(StartPoint);
           EndPoint.Translate(Vector.X, Vector.Y, Vector.Z);
           GraphicsDrawer.DrawLineSegment(StartPoint, EndPoint, Color);

           GraphicsDrawer.DrawText(EndPoint, Text, Color);

           Vector Arrow = ArrowVector(Arrow01, Radians);

           Point ArrowExtreme = new Point(EndPoint);
           ArrowExtreme.Translate(Arrow.X, Arrow.Y, Arrow.Z);
           GraphicsDrawer.DrawLineSegment(EndPoint, ArrowExtreme, Color);

           Arrow = ArrowVector(Arrow01, -Radians);

           ArrowExtreme = new Point(EndPoint);
           ArrowExtreme.Translate(Arrow.X, Arrow.Y, Arrow.Z);
           GraphicsDrawer.DrawLineSegment(EndPoint, ArrowExtreme, Color);

       //Draws the arrows of the vectors
       private static Vector ArrowVector(Vector Vector, double Radians)
           double X, Y, Z;

           if(Vector.X == 0 && Vector.Y == 0)
               X = Vector.X;
               Y = (Vector.Y * Math.Cos(Radians)) - (Vector.Z * Math.Sin(Radians));
               Z = (Vector.Y * Math.Sin(Radians)) + (Vector.Z * Math.Cos(Radians));
               X = (Vector.X * Math.Cos(Radians)) - (Vector.Y * Math.Sin(Radians));
               Y = (Vector.X * Math.Sin(Radians)) + (Vector.Y * Math.Cos(Radians));
               Z = Vector.Z;

           return new Vector(X, Y, Z);

       //Shows the point coordinates with only two decimals
       private static string FormatPointCoordinates(Point Point)
           string Output = String.Empty;

           Output = "(" + Point.X.ToString("0.00", CultureInfo.InvariantCulture) + ", " +
                    Point.Y.ToString("0.00", CultureInfo.InvariantCulture) + ", " +
                    Point.Z.ToString("0.00", CultureInfo.InvariantCulture) + ")";

           return Output;
See Also