// <SnippetMatrix3DProjectionSample_code>
private void ApplyProjection(Object sender, PointerRoutedEventArgs e)
{
// Translate the image along the negative Z-axis such that it occupies 50% of the
// vertical field of view.
double fovY = Math.PI / 2.0;
double translationZ = -BeachImage.ActualHeight / Math.Tan(fovY / 2.0);
double theta = 20.0 * Math.PI / 180.0;
// You can create a 3D effect by creating a number of simple
// tranformation Matrix3D matrixes and then multiply them together.
Matrix3D centerImageAtOrigin = TranslationTransform(
-BeachImage.ActualWidth / 2.0,
-BeachImage.ActualHeight / 2.0, 0);
Matrix3D invertYAxis = CreateScaleTransform(1.0, -1.0, 1.0);
Matrix3D rotateAboutY = RotateYTransform(theta);
Matrix3D translateAwayFromCamera = TranslationTransform(0, 0, translationZ);
Matrix3D perspective = PerspectiveTransformFovRH(fovY,
LayoutRoot.ActualWidth / LayoutRoot.ActualHeight, // aspect ratio
1.0, // near plane
1000.0); // far plane
Matrix3D viewport = ViewportTransform(LayoutRoot.ActualWidth, LayoutRoot.ActualHeight);
Matrix3D m = Matrix3DHelper.Multiply(centerImageAtOrigin, invertYAxis);
m = Matrix3D.Multiply(m, rotateAboutY);
m = Matrix3D.Multiply(m, translateAwayFromCamera);
m = Matrix3D.Multiply(m, perspective);
m = Matrix3D.Multiply(m, viewport);
Matrix3DProjection m3dProjection = new Matrix3DProjection();
m3dProjection.ProjectionMatrix = m;
BeachImage.Projection = m3dProjection;
}
private void UpdateOpenedBookTransform(float progress)
{
//scale
var openedProgress = 1 - progress;
var openedScale = MathUtility.Lerp(SelectedBookScale3D.X, 1, openedProgress);
var scaleMatrix = Matrix3D.CreateScale(openedScale);
//rotation
var openedBookQuaternion = Matrix3DHelper.Slerp(SelectedBookRotation3D, openedBookTargetQuaternion,
openedProgress, true);
var rotationM3D = Matrix3D.CreateFromQuaternion(openedBookQuaternion);
//translation
var openedX = MathUtility.Lerp(SelectedBookTranslation3D.X, OpenedBookRect.X + (float)Book.CoverWidth,
openedProgress);
var openedY = MathUtility.Lerp(SelectedBookTranslation3D.Y, OpenedBookRect.Y, openedProgress);
var translationMatrix = Matrix3D.CreateTranslation(openedX, openedY, 0);
OpenedBook.TransformMatrix3D = rotationM3D * scaleMatrix * translationMatrix;
}
public void UpdateBookPlaneTransforms(double coverWidth = 0, double coverHeight = 0, double spineWidth = 0)
{
if (coverWidth == 0)
{
coverWidth = CoverWidth;
}
if (coverHeight == 0)
{
coverHeight = CoverHeight;
}
if (spineWidth == 0)
{
spineWidth = SpineWidth;
}
float x, y, rotX, rotY;
Point3D rotCenter;
Quaternion rotQuartY;
Matrix3D rotMatrixX, rotMatrixY, translationMatrix;
//front cover
x = (float)spineWidth;
rotY = (float)(OpenedProgress * HalfPi);
rotMatrixY = Matrix3D.CreateRotationY(rotY);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, 0, 0));
FrontCover3D.TransformMatrix3D = rotMatrixY * translationMatrix;
//spine
Spine3D.TransformMatrix3D = Matrix3D.Identity;
//back cover
x = (float)-coverWidth;
rotY = (float)(-OpenedProgress * HalfPi);
rotQuartY = Quaternion.CreateFromAxisAngle(yAxis, rotY);
rotCenter = new Point3D((float)coverWidth, 0, 0);
rotMatrixY = Matrix3DHelper.CreateRotationMatrix(ref rotQuartY, ref rotCenter);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, 0, 0));
BackCover3D.TransformMatrix3D = rotMatrixY * translationMatrix;
//top back cover
x = (float)-coverWidth;
y = (float)coverHeight;
rotX = -HalfPi;
rotY = (float)(-OpenedProgress * HalfPi);
rotCenter = new Point3D((float)coverWidth, 0, 0);
rotQuartY = Quaternion.CreateFromAxisAngle(yAxis, rotY);
rotMatrixX = Matrix3D.CreateRotationX(rotX);
rotMatrixY = Matrix3DHelper.CreateRotationMatrix(ref rotQuartY, ref rotCenter);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, y, 0));
TopBackCoverPages3D.TransformMatrix3D = rotMatrixX * rotMatrixY * translationMatrix;
//top spine pages
x = 0f;
y = (float)(coverHeight - 0.1);
rotX = -HalfPi;
rotMatrixX = Matrix3D.CreateRotationX(rotX);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, y, 0));
TopSpinePages3D.TransformMatrix3D = rotMatrixX * translationMatrix;
//top front cover pages
x = (float)spineWidth;
y = (float)coverHeight;
rotX = -HalfPi;
rotY = (float)(OpenedProgress * HalfPi);
rotMatrixX = Matrix3D.CreateRotationX(rotX);
rotMatrixY = Matrix3D.CreateRotationY(rotY);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, y, 0));
TopFrontCoverPages3D.TransformMatrix3D = rotMatrixX * rotMatrixY * translationMatrix;
//inner page right
x = (float)(spineWidth * 0.5d);
rotY = Pi - (float)(OpenedProgress * HalfPi);
rotMatrixY = Matrix3D.CreateRotationY(rotY);
translationMatrix = Matrix3D.CreateTranslation(new Point3D(x, 0, 0));
InnerPageRight3D.TransformMatrix3D = rotMatrixY * translationMatrix;
if (TransformsUpdated != null)
{
TransformsUpdated(this);
}
}
