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Transform3D Class

Provides a parent class for all three-dimensional transformations, including translation, rotation, and scale transformations.

Namespace:  System.Windows.Media.Media3D
Assembly:  PresentationCore (in PresentationCore.dll)

[LocalizabilityAttribute(LocalizationCategory.None, Readability = Readability.Unreadable)]
public abstract class Transform3D : GeneralTransform3D

The Transform3D type exposes the following members.

  NameDescription
Public propertyCanFreezeGets a value that indicates whether the object can be made unmodifiable. (Inherited from Freezable.)
Public propertyDependencyObjectTypeGets the DependencyObjectType that wraps the CLR type of this instance.  (Inherited from DependencyObject.)
Public propertyDispatcherGets the Dispatcher this DispatcherObject is associated with. (Inherited from DispatcherObject.)
Public propertyHasAnimatedPropertiesGets a value that indicates whether one or more AnimationClock objects is associated with any of this object's dependency properties. (Inherited from Animatable.)
Public propertyStatic memberIdentityGets the identity transformation.
Public propertyInverseGets the inverse transformation of this object, if possible. (Overrides GeneralTransform3D.Inverse.)
Public propertyIsAffineGets a value that specifies whether the matrix is affine.
Public propertyIsFrozenGets a value that indicates whether the object is currently modifiable. (Inherited from Freezable.)
Public propertyIsSealedGets a value that indicates whether this instance is currently sealed (read-only). (Inherited from DependencyObject.)
Public propertyValueGets the Matrix3D that represents the value of the current transformation.
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  NameDescription
Public methodApplyAnimationClock(DependencyProperty, AnimationClock)Applies an AnimationClock to the specified DependencyProperty. If the property is already animated, the SnapshotAndReplace handoff behavior is used. (Inherited from Animatable.)
Public methodApplyAnimationClock(DependencyProperty, AnimationClock, HandoffBehavior)Applies an AnimationClock to the specified DependencyProperty. If the property is already animated, the specified HandoffBehavior is used. (Inherited from Animatable.)
Public methodBeginAnimation(DependencyProperty, AnimationTimeline)Applies an animation to the specified DependencyProperty. The animation is started when the next frame is rendered. If the specified property is already animated, the SnapshotAndReplace handoff behavior is used. (Inherited from Animatable.)
Public methodBeginAnimation(DependencyProperty, AnimationTimeline, HandoffBehavior)Applies an animation to the specified DependencyProperty. The animation is started when the next frame is rendered. If the specified property is already animated, the specified HandoffBehavior is used. (Inherited from Animatable.)
Public methodCheckAccessDetermines whether the calling thread has access to this DispatcherObject. (Inherited from DispatcherObject.)
Public methodClearValue(DependencyProperty)Clears the local value of a property. The property to be cleared is specified by a DependencyProperty identifier. (Inherited from DependencyObject.)
Public methodClearValue(DependencyPropertyKey)Clears the local value of a read-only property. The property to be cleared is specified by a DependencyPropertyKey. (Inherited from DependencyObject.)
Public methodCloneCreates a modifiable clone of this Transform3D, making deep copies of this object's values.
Protected methodCloneCoreMakes the instance a clone (deep copy) of the specified Freezable using base (non-animated) property values. (Inherited from Freezable.)
Public methodCloneCurrentValueCreates a modifiable clone of this Transform3D object, making deep copies of this object's current values. Resource references, data bindings, and animations are not copied, but their current values are.
Protected methodCloneCurrentValueCoreMakes the instance a modifiable clone (deep copy) of the specified Freezable using current property values. (Inherited from Freezable.)
Public methodCoerceValueCoerces the value of the specified dependency property. This is accomplished by invoking any CoerceValueCallback function specified in property metadata for the dependency property as it exists on the calling DependencyObject. (Inherited from DependencyObject.)
Protected methodCreateInstanceInitializes a new instance of the Freezable class. (Inherited from Freezable.)
Protected methodCreateInstanceCoreWhen implemented in a derived class, creates a new instance of the Freezable derived class. (Inherited from Freezable.)
Public methodEqualsDetermines whether a provided DependencyObject is equivalent to the current DependencyObject. (Inherited from DependencyObject.)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
Public methodFreeze()Makes the current object unmodifiable and sets its IsFrozen property to true. (Inherited from Freezable.)
Protected methodFreezeCoreMakes this Animatable object unmodifiable or determines whether it can be made unmodifiable. (Inherited from Animatable.)
Public methodGetAnimationBaseValueReturns the non-animated value of the specified DependencyProperty. (Inherited from Animatable.)
Public methodGetAsFrozenCreates a frozen copy of the Freezable, using base (non-animated) property values. Because the copy is frozen, any frozen sub-objects are copied by reference. (Inherited from Freezable.)
Protected methodGetAsFrozenCoreMakes the instance a frozen clone of the specified Freezable using base (non-animated) property values. (Inherited from Freezable.)
Public methodGetCurrentValueAsFrozenCreates a frozen copy of the Freezable using current property values. Because the copy is frozen, any frozen sub-objects are copied by reference. (Inherited from Freezable.)
Protected methodGetCurrentValueAsFrozenCoreMakes the current instance a frozen clone of the specified Freezable. If the object has animated dependency properties, their current animated values are copied. (Inherited from Freezable.)
Public methodGetHashCodeGets a hash code for this DependencyObject. (Inherited from DependencyObject.)
Public methodGetLocalValueEnumeratorCreates a specialized enumerator for determining which dependency properties have locally set values on this DependencyObject. (Inherited from DependencyObject.)
Public methodGetTypeGets the Type of the current instance. (Inherited from Object.)
Public methodGetValueReturns the current effective value of a dependency property on this instance of a DependencyObject. (Inherited from DependencyObject.)
Public methodInvalidatePropertyRe-evaluates the effective value for the specified dependency property (Inherited from DependencyObject.)
Protected methodMemberwiseCloneCreates a shallow copy of the current Object. (Inherited from Object.)
Protected methodOnChangedCalled when the current Freezable object is modified. (Inherited from Freezable.)
Protected methodOnFreezablePropertyChanged(DependencyObject, DependencyObject)Ensures that appropriate context pointers are established for a DependencyObjectType data member that has just been set. (Inherited from Freezable.)
Protected methodOnFreezablePropertyChanged(DependencyObject, DependencyObject, DependencyProperty)This member supports the Windows Presentation Foundation (WPF) infrastructure and is not intended to be used directly from your code. (Inherited from Freezable.)
Protected methodOnPropertyChangedOverrides the DependencyObject implementation of OnPropertyChanged to also invoke any Changed handlers in response to a changing dependency property of type Freezable. (Inherited from Freezable.)
Public methodReadLocalValueReturns the local value of a dependency property, if it exists. (Inherited from DependencyObject.)
Protected methodReadPreambleEnsures that the Freezable is being accessed from a valid thread. Inheritors of Freezable must call this method at the beginning of any API that reads data members that are not dependency properties. (Inherited from Freezable.)
Public methodSetCurrentValueSets the value of a dependency property without changing its value source. (Inherited from DependencyObject.)
Public methodSetValue(DependencyProperty, Object)Sets the local value of a dependency property, specified by its dependency property identifier. (Inherited from DependencyObject.)
Public methodSetValue(DependencyPropertyKey, Object)Sets the local value of a read-only dependency property, specified by the DependencyPropertyKey identifier of the dependency property. (Inherited from DependencyObject.)
Protected methodShouldSerializePropertyReturns a value that indicates whether serialization processes should serialize the value for the provided dependency property. (Inherited from DependencyObject.)
Public methodToString()Creates a string representation of this instance. (Inherited from GeneralTransform3D.)
Public methodToString(IFormatProvider)Creates a string representation of this instance, based on the passed IFormatProvider parameter. (Inherited from GeneralTransform3D.)
Public methodTransform(Point3D)Transforms the specified Point3D.
Public methodTransform(Point3D[]) Transforms the specified array of Point3D objects.
Public methodTransform(Point4D)Transforms the specified Point4D.
Public methodTransform(Point4D[]) Transforms the specified array of Point4D objects.
Public methodTransform(Vector3D)Transforms the specified Vector3D.
Public methodTransform(Vector3D[]) Transforms the specified array of Vector3D objects.
Public methodTransformBoundsTransforms the specified 3-D bounding box and returns an axis-aligned 3-D bounding box that is exactly large enough to contain it. (Overrides GeneralTransform3D.TransformBounds(Rect3D).)
Public methodTryTransformAttempts to transform the specified 3-D point and returns a value that indicates whether the transformation was successful. (Overrides GeneralTransform3D.TryTransform(Point3D, Point3D).)
Public methodVerifyAccessEnforces that the calling thread has access to this DispatcherObject. (Inherited from DispatcherObject.)
Protected methodWritePostscriptRaises the Changed event for the Freezable and invokes its OnChanged method. Classes that derive from Freezable should call this method at the end of any API that modifies class members that are not stored as dependency properties. (Inherited from Freezable.)
Protected methodWritePreambleVerifies that the Freezable is not frozen and that it is being accessed from a valid threading context. Freezable inheritors should call this method at the beginning of any API that writes to data members that are not dependency properties. (Inherited from Freezable.)
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  NameDescription
Public eventChangedOccurs when the Freezable or an object it contains is modified. (Inherited from Freezable.)
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  NameDescription
Explicit interface implemetationPrivate methodIFormattable.ToStringInfrastructure. For a description of this member, see IFormattable.ToString(String, IFormatProvider). (Inherited from GeneralTransform3D.)
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Use the MatrixTransform3D class to create transformations not available from the RotateTransform3D, TranslateTransform3D, and ScaleTransform3D classes.

This sample shows how to use a RotateTransform3D and a ScaleTransform3D to rotate and change the scale of a 3-D model. The code below shows how to apply these transforms to the Transform property of a GeometryModel3D in XAML.


<!-- Apply multiple transformations to the object. In this sample, a rotation and scale transform 
is applied. -->
<GeometryModel3D.Transform>
  <Transform3DGroup>
    <Transform3DGroup.Children>
      <RotateTransform3D>
        <RotateTransform3D.Rotation>

        <!-- This transformation rotates the object. -->
        <AxisAngleRotation3D Axis="0,3,0" Angle="40" />
        </RotateTransform3D.Rotation>
      </RotateTransform3D>

      <!-- This Scale Transform stretches the object horizontally by 200 percent and shrinks it 
         vertically by 50 percent. -->
      <ScaleTransform3D ScaleX="2" ScaleY="0.5" ScaleZ="1" CenterX="0" CenterY="0" CenterZ="0" />
    </Transform3DGroup.Children>
 </Transform3DGroup>
</GeometryModel3D.Transform>


In code:


// Apply multiple transformations to the object. In this sample, a rotation and scale 
// transform is applied.

// Create and apply a transformation that rotates the object.
RotateTransform3D myRotateTransform3D = new RotateTransform3D();
AxisAngleRotation3D myAxisAngleRotation3d = new AxisAngleRotation3D();
myAxisAngleRotation3d.Axis = new Vector3D(0,3,0);
myAxisAngleRotation3d.Angle = 40;
myRotateTransform3D.Rotation = myAxisAngleRotation3d;

// Add the rotation transform to a Transform3DGroup
Transform3DGroup myTransform3DGroup = new Transform3DGroup();
myTransform3DGroup.Children.Add(myRotateTransform3D);

// Create and apply a scale transformation that stretches the object along the local x-axis  
// by 200 percent and shrinks it along the local y-axis by 50 percent.
ScaleTransform3D myScaleTransform3D = new ScaleTransform3D();
myScaleTransform3D.ScaleX = 2;
myScaleTransform3D.ScaleY = 0.5;
myScaleTransform3D.ScaleZ = 1;

// Add the scale transform to the Transform3DGroup.
myTransform3DGroup.Children.Add(myScaleTransform3D);

// Set the Transform property of the GeometryModel to the Transform3DGroup which includes 
// both transformations. The 3D object now has two Transformations applied to it.
myGeometryModel.Transform = myTransform3DGroup;


The following code shows the entire sample in XAML.


<Page xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentation"
  xmlns:x="http://schemas.microsoft.com/winfx/2006/xaml" >
  <DockPanel>
    <Viewbox>
      <Canvas Width="321" Height="201">

        <!-- The Viewport3D provides a rendering surface for 3-D visual content. -->
        <Viewport3D ClipToBounds="True" Width="150" Height="150" Canvas.Left="0" Canvas.Top="10">

          <!-- Defines the camera used to view the 3D object. -->
          <Viewport3D.Camera>
            <PerspectiveCamera Position="0,0,2" LookDirection="0,0,-1" FieldOfView="60" />
          </Viewport3D.Camera>

          <!-- The ModelVisual3D children contain the 3D models -->
          <Viewport3D.Children>

            <!-- This ModelVisual3D defines the light cast in the scene. Without light, the 3D 
                 object cannot be seen. Also, the direction of the lights affect shadowing. If desired,
                 you can create multiple lights with different colors that shine from different directions. -->
            <ModelVisual3D>
              <ModelVisual3D.Content>
                <DirectionalLight Color="#FFFFFF" Direction="-0.612372,-0.5,-0.612372" />
              </ModelVisual3D.Content>
            </ModelVisual3D>
            <ModelVisual3D>
              <ModelVisual3D.Content>
                <GeometryModel3D>

                  <!-- The geometry specifes the shape of the 3D plane. In this sample, a flat sheet is created. -->
                  <GeometryModel3D.Geometry>
                    <MeshGeometry3D
                     TriangleIndices="0,1,2 3,4,5 "
                     Normals="0,0,1 0,0,1 0,0,1 0,0,1 0,0,1 0,0,1 "
                     TextureCoordinates="0,0 1,0 1,1 1,1 0,1 0,0 "
                     Positions="-0.5,-0.5,0.5 0.5,-0.5,0.5 0.5,0.5,0.5 0.5,0.5,0.5 -0.5,0.5,0.5 -0.5,-0.5,0.5 " />
                  </GeometryModel3D.Geometry>

                  <!-- The material specifies the material applied to the 3D object. In this sample a linear gradient 
                       covers the surface of the 3D object.-->
                  <GeometryModel3D.Material>
                    <MaterialGroup>
                      <DiffuseMaterial>
                        <DiffuseMaterial.Brush>
                          <LinearGradientBrush StartPoint="0,0.5" EndPoint="1,0.5">
                            <LinearGradientBrush.GradientStops>
                              <GradientStop Color="Yellow" Offset="0" />
                              <GradientStop Color="Red" Offset="0.25" />
                              <GradientStop Color="Blue" Offset="0.75" />
                              <GradientStop Color="LimeGreen" Offset="1" />
                            </LinearGradientBrush.GradientStops>
                          </LinearGradientBrush>
                        </DiffuseMaterial.Brush>
                      </DiffuseMaterial>
                    </MaterialGroup>
                  </GeometryModel3D.Material>
                  <!-- Apply multiple transformations to the object. In this sample, a rotation and scale transform 
                  is applied. -->
                  <GeometryModel3D.Transform>
                    <Transform3DGroup>
                      <Transform3DGroup.Children>
                        <RotateTransform3D>
                          <RotateTransform3D.Rotation>

                          <!-- This transformation rotates the object. -->
                          <AxisAngleRotation3D Axis="0,3,0" Angle="40" />
                          </RotateTransform3D.Rotation>
                        </RotateTransform3D>

                        <!-- This Scale Transform stretches the object horizontally by 200 percent and shrinks it 
                           vertically by 50 percent. -->
                        <ScaleTransform3D ScaleX="2" ScaleY="0.5" ScaleZ="1" CenterX="0" CenterY="0" CenterZ="0" />
                      </Transform3DGroup.Children>
                   </Transform3DGroup>
                  </GeometryModel3D.Transform>
                </GeometryModel3D>
              </ModelVisual3D.Content>
            </ModelVisual3D>
          </Viewport3D.Children>

        </Viewport3D>
      </Canvas>
    </Viewbox>
  </DockPanel>
</Page>


Below is the entire sample in code.


using System;
using System.Windows;
using System.Windows.Controls;
using System.Windows.Media;
using System.Windows.Media.Media3D;

namespace SDKSample
{
    public partial class MultipleTransformationsExample : Page
    {
        public MultipleTransformationsExample()
        {

            // Declare scene objects.
            Viewport3D myViewport3D = new Viewport3D();
            Model3DGroup myModel3DGroup = new Model3DGroup();
            GeometryModel3D myGeometryModel = new GeometryModel3D();
            ModelVisual3D myModelVisual3D = new ModelVisual3D();

            // Defines the camera used to view the 3D object. In order to view the 3D object,
            // the camera must be positioned and pointed such that the object is within view 
            // of the camera.
            PerspectiveCamera myPCamera = new PerspectiveCamera();

            // Specify where in the 3D scene the camera is.
            myPCamera.Position = new Point3D(0, 0, 2);

            // Specify the direction that the camera is pointing.
            myPCamera.LookDirection = new Vector3D(0, 0, -1);

            // Define camera's horizontal field of view in degrees.
            myPCamera.FieldOfView = 60;

            // Asign the camera to the viewport
            myViewport3D.Camera = myPCamera;

            // Define the lights cast in the scene. Without light, the 3D object cannot 
            // be seen. Note: to illuminate an object from additional directions, create 
            // additional lights.
            DirectionalLight myDirectionalLight = new DirectionalLight();
            myDirectionalLight.Color = Colors.White;
            myDirectionalLight.Direction = new Vector3D(-0.61, -0.5, -0.61);

            myModel3DGroup.Children.Add(myDirectionalLight);

            // The geometry specifes the shape of the 3D plane. In this sample, a flat sheet 
            // is created.
            MeshGeometry3D myMeshGeometry3D = new MeshGeometry3D();

            // Create a collection of normal vectors for the MeshGeometry3D.
            Vector3DCollection myNormalCollection = new Vector3DCollection();
            myNormalCollection.Add(new Vector3D(0,0,1));
            myNormalCollection.Add(new Vector3D(0,0,1));
            myNormalCollection.Add(new Vector3D(0,0,1));
            myNormalCollection.Add(new Vector3D(0,0,1));
            myNormalCollection.Add(new Vector3D(0,0,1));
            myNormalCollection.Add(new Vector3D(0,0,1));
            myMeshGeometry3D.Normals = myNormalCollection;

            // Create a collection of vertex positions for the MeshGeometry3D. 
            Point3DCollection myPositionCollection = new Point3DCollection();
            myPositionCollection.Add(new Point3D(-0.5, -0.5, 0.5));
            myPositionCollection.Add(new Point3D(0.5, -0.5, 0.5));
            myPositionCollection.Add(new Point3D(0.5, 0.5, 0.5));
            myPositionCollection.Add(new Point3D(0.5, 0.5, 0.5));
            myPositionCollection.Add(new Point3D(-0.5, 0.5, 0.5));
            myPositionCollection.Add(new Point3D(-0.5, -0.5, 0.5));
            myMeshGeometry3D.Positions = myPositionCollection;

            // Create a collection of texture coordinates for the MeshGeometry3D.
            PointCollection myTextureCoordinatesCollection = new PointCollection();
            myTextureCoordinatesCollection.Add(new Point(0, 0));
            myTextureCoordinatesCollection.Add(new Point(1, 0));
            myTextureCoordinatesCollection.Add(new Point(1, 1));
            myTextureCoordinatesCollection.Add(new Point(1, 1));
            myTextureCoordinatesCollection.Add(new Point(0, 1));
            myTextureCoordinatesCollection.Add(new Point(0, 0));
            myMeshGeometry3D.TextureCoordinates = myTextureCoordinatesCollection;

            // Create a collection of triangle indices for the MeshGeometry3D.
            Int32Collection myTriangleIndicesCollection = new Int32Collection();
            myTriangleIndicesCollection.Add(0);
            myTriangleIndicesCollection.Add(1);
            myTriangleIndicesCollection.Add(2);
            myTriangleIndicesCollection.Add(3);
            myTriangleIndicesCollection.Add(4);
            myTriangleIndicesCollection.Add(5);
            myMeshGeometry3D.TriangleIndices = myTriangleIndicesCollection;

            // Apply the mesh to the geometry model.
            myGeometryModel.Geometry = myMeshGeometry3D;

            // The material specifies the material applied to the 3D object. In this sample a  
            // linear gradient covers the surface of the 3D object.

            // Create a horizontal linear gradient with four stops.   
            LinearGradientBrush myHorizontalGradient = new LinearGradientBrush();
            myHorizontalGradient.StartPoint = new Point(0, 0.5);
            myHorizontalGradient.EndPoint = new Point(1, 0.5);
            myHorizontalGradient.GradientStops.Add(new GradientStop(Colors.Yellow, 0.0));
            myHorizontalGradient.GradientStops.Add(new GradientStop(Colors.Red, 0.25));
            myHorizontalGradient.GradientStops.Add(new GradientStop(Colors.Blue, 0.75));
            myHorizontalGradient.GradientStops.Add(new GradientStop(Colors.LimeGreen, 1.0));

            // Define material and apply to the mesh geometries.
            DiffuseMaterial myMaterial = new DiffuseMaterial(myHorizontalGradient);
            myGeometryModel.Material = myMaterial;
            // Apply multiple transformations to the object. In this sample, a rotation and scale 
            // transform is applied.

            // Create and apply a transformation that rotates the object.
            RotateTransform3D myRotateTransform3D = new RotateTransform3D();
            AxisAngleRotation3D myAxisAngleRotation3d = new AxisAngleRotation3D();
            myAxisAngleRotation3d.Axis = new Vector3D(0,3,0);
            myAxisAngleRotation3d.Angle = 40;
            myRotateTransform3D.Rotation = myAxisAngleRotation3d;

            // Add the rotation transform to a Transform3DGroup
            Transform3DGroup myTransform3DGroup = new Transform3DGroup();
            myTransform3DGroup.Children.Add(myRotateTransform3D);

            // Create and apply a scale transformation that stretches the object along the local x-axis  
            // by 200 percent and shrinks it along the local y-axis by 50 percent.
            ScaleTransform3D myScaleTransform3D = new ScaleTransform3D();
            myScaleTransform3D.ScaleX = 2;
            myScaleTransform3D.ScaleY = 0.5;
            myScaleTransform3D.ScaleZ = 1;

            // Add the scale transform to the Transform3DGroup.
            myTransform3DGroup.Children.Add(myScaleTransform3D);

            // Set the Transform property of the GeometryModel to the Transform3DGroup which includes 
            // both transformations. The 3D object now has two Transformations applied to it.
            myGeometryModel.Transform = myTransform3DGroup;
            // Add the geometry model to the model group.
            myModel3DGroup.Children.Add(myGeometryModel);

            // Add the group of models to the ModelVisual3d.
            myModelVisual3D.Content = myModel3DGroup;

            myViewport3D.Children.Add(myModelVisual3D);

            // Apply the viewport to the page so it will be rendered.
            this.Content = myViewport3D;
        }
    }
}


.NET Framework

Supported in: 4, 3.5, 3.0

.NET Framework Client Profile

Supported in: 4, 3.5 SP1

Windows 7, Windows Vista SP1 or later, Windows XP SP3, Windows Server 2008 (Server Core not supported), Windows Server 2008 R2 (Server Core supported with SP1 or later), Windows Server 2003 SP2

The .NET Framework does not support all versions of every platform. For a list of the supported versions, see .NET Framework System Requirements.

Any public static (Shared in Visual Basic) members of this type are thread safe. Any instance members are not guaranteed to be thread safe.

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