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The UIElement base class adds a property named Projection that is of type System.Windows.MediaProjection, which is an abstract base class. This property sets the perspective projection to apply when rendering the UIElement or descendent object. The Projection base class has two descendents that can be assigned to the UIElement.Projection property: Matrix3DProjection and PlaneProjection.

Matrix3DProjection is a wrapper class around a Matrix3D class. The Matrix3D class represents a 4 x 4 matrix. It can be used to create a standard Translate, Scale, Rotate, or Perspective matrix for transformations in 3-D space and should be familiar to game developers or anyone who programs software in 3-D space. For more information about creating and working with 3-D matrixes, please refer to the DirectX documentation or a book that covers 3-D development: http://msdn.microsoft.com/en-us/directx/default.aspx The Matrix3DProjection class provides a way to apply an arbitrary 3-D matrix to a UIElement, allowing you to create highly customized transformations. The Matrix3DProjection has a minimal API, so you must write the code that correctly creates the necessary 3D transforms to achieve the desired affect. If you do not need to support customized 3-D matrices, you can still easily apply 3-D effects via the PlaneProjection class. With the PlaneProjection class, you can create the illusion that an object is rotating toward or away from the user. The PlaneProjection object can be used to apply a static transformation to skew an object in 3-D. You can use this method to create a UI where objects appear to be stacked in 3-D space by applying unique PlaneProjection values. Combining the PlaneProjection class with Storyboard object lets you animate properties of the PlaneProjection class to create the illusion that a UIElement is moving through 3-D space.

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2 Wardhana and Hadipriono studied over 500 bridge structure failures in the United States The age of the failed bridges ranged from one year (or during construction) to 157 years The most frequent causes of bridge failures were oods and collisions Bridge overload and lateral impact forces from trucks, barges/ships, and trains constitute 20 percent of the total bridge failures In the US alone, over 36,000 bridges are either scour critical or scour susceptible 3 Campbell R Middleton of the University of Cambridge Engineering Department has organized comprehensive databases summarizing the failure records according to the chronology of events, country of occurrence, reasons of failure, and bridge type 4 Bjorn Akesson in his 2008 book Understanding Bridge Collapses, estimates scour as responsible for about 50 percent of bridge failures.

Here we have a table called Course and a table called Student, and we have joined them via the COURSE_TO_STUDENT_TBL table that contains the studentId to courseId mapping. Here the many-to-many relationship is defined. Then we define which columns are defined toward each other.

In this recipe, you take advantage of the new Silverlight Navigation Application template to create a couple of examples to help you better understand how to work with projections and perspective transforms. The first example, shown in Figure 3-59, allows the user to apply rotation to the picture with a slider for the X, Y, and Z planes. Notice that the values displayed for the amount of rotation in the X, Y, and Z planes are three-digit integers. Originally, the values were a one, two, or three-digit number on the left side of the decimal and a large number of digits to the right of the decimal point. Because the decimal values are not important, we wrote a simple value converter for Silverlight 3 to truncate the decimal values and force it to display a three-digit integer. In Silverlight 4, we take advantage of the StringFormat property for the Binding markup extension. This allows us to change this line of code: {Binding Value, ElementName=YaxisSlider, Converter={StaticResource DecimalFormatConverter}} > to this line of code: {Binding Value, ElementName=YaxisSlider, StringFormat=000} >

Figure 3-59. Static 3-D transform test page You apply the slider values programmatically in the code-behind file because it is not possible to databind elements directly with the PlaneProjection s RotationX, RotationY, and RotationZ properties. The reason is that these are not DependencyProperties but are instead simple .NET properties. Listing 3-13 shows the Static3DTransform XAML file.

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