Curvature mapping for curve and surfaces

In This Topic

With the code samples reported in this article, you can display curvature mapping of surfaces and curves with Eyeshot.

The following picture shows the curvature mapping of a surface:

Please note that there are different types of surface's curvature to display: Kappa1, Kappa2, Mean and Gauss. You can learn more about surface curvatures at this link:

http://en.wikipedia.org/wiki/Curvature

The code used to display it, is reported below:

C#
Visual Basic

protected override void OnLoad(EventArgs e) 
{ 
    // Loft 
    List<Point3D> array = new List<Point3D>(); 

    array.Add(new Point3D(0, 60, 0)); 
    array.Add(new Point3D(0, 40, -5)); 
    array.Add(new Point3D(0, 20, +15)); 
    array.Add(new Point3D(0, 0, 0)); 

    Curve first = Curve.GlobalInterpolation(array, 3); 

    array.Clear(); 
    array.Add(new Point3D(40, 60, 0)); 
    array.Add(new Point3D(40, 0, 10)); 

    Curve second = Curve.GlobalInterpolation(array, 1); 

    array.Clear(); 
    array.Add(new Point3D(80, 60, 0)); 
    array.Add(new Point3D(80, 30, 20)); 
    array.Add(new Point3D(80, 0, 5)); 

    Curve third = Curve.GlobalInterpolation(array, 2); 

    array.Clear(); 
    array.Add(new Point3D(120, 60, 0)); 
    array.Add(new Point3D(120, 0, 0)); 

    Curve fourth = Curve.GlobalInterpolation(array, 1); 

    array.Clear(); 
    array.Add(new Point3D(160, 60, 0)); 
    array.Add(new Point3D(160, 30, 10)); 
    array.Add(new Point3D(160, 0, 0)); 

    Curve fifth = Curve.GlobalInterpolation(array, 2); 

    Surface loft = Surface.Loft(new Curve[] { first, second, third, fourth, fifth }, 3); 

    viewportLayout1.Entities.Add(loft, Color.Aquamarine); 

             
    viewportLayout1.Legends[0].ColorTable = Legend.RedToBlue9; 

    loft.ComputeCurvatureMap(viewportLayout1.Legends[0], curvatureType.Kappa1); 

    loft.ShowCurvature = true; 

    viewportLayout1.Legends[0].Visible = true; 
}

Visual Basic

Protected Overrides Sub OnLoad(e As EventArgs)
    ' Loft 
    Dim array As New List(Of Point3D)()

    array.Add(New Point3D(0, 60, 0))
    array.Add(New Point3D(0, 40, -5))
    array.Add(New Point3D(0, 20, +15))
    array.Add(New Point3D(0, 0, 0))

    Dim first As Curve = Curve.GlobalInterpolation(array, 3)

    array.Clear()
    array.Add(New Point3D(40, 60, 0))
    array.Add(New Point3D(40, 0, 10))

    Dim second As Curve = Curve.GlobalInterpolation(array, 1)

    array.Clear()
    array.Add(New Point3D(80, 60, 0))
    array.Add(New Point3D(80, 30, 20))
    array.Add(New Point3D(80, 0, 5))

    Dim third As Curve = Curve.GlobalInterpolation(array, 2)

    array.Clear()
    array.Add(New Point3D(120, 60, 0))
    array.Add(New Point3D(120, 0, 0))

    Dim fourth As Curve = Curve.GlobalInterpolation(array, 1)

    array.Clear()
    array.Add(New Point3D(160, 60, 0))
    array.Add(New Point3D(160, 30, 10))
    array.Add(New Point3D(160, 0, 0))

    Dim fifth As Curve = Curve.GlobalInterpolation(array, 2)

    Dim loft As Surface = Surface.Loft(New Curve() {first, second, third, fourth, fifth}, 3)

    ViewportLayout1.Entities.Add(loft, Color.Aquamarine)


    ViewportLayout1.Legends(0).ColorTable = Legend.RedToBlue9

    loft.ComputeCurvatureMap(ViewportLayout1.Legends(0), curvatureType.Kappa1)

    loft.ShowCurvature = True

    ViewportLayout1.Legends(0).Visible = True
End Sub

You can display also curve curvature as shows the picture below:

with the following code:

C#
Visual Basic

Please note that function Curve.ComputeCurvatureGraph() needs a scale factor as input, necessary to define the curvature vectors length.

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