Matrix.PerspectiveFovLH Method

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Builds a left-handed perspective projection matrix based on a field of view.

Definition

Visual Basic Public Shared Function PerspectiveFovLH( _
    ByVal fieldOfViewY As Single, _
    ByVal aspectRatio As Single, _
    ByVal znearPlane As Single, _
    ByVal zfarPlane As Single _
) As Matrix
C# public static Matrix PerspectiveFovLH(
    float fieldOfViewY,
    float aspectRatio,
    float znearPlane,
    float zfarPlane
);
C++ public:
static Matrix PerspectiveFovLH(
    float fieldOfViewY,
    float aspectRatio,
    float znearPlane,
    float zfarPlane
);
JScript public static function PerspectiveFovLH(
    fieldOfViewY : float,
    aspectRatio : float,
    znearPlane : float,
    zfarPlane : float
) : Matrix;

Parameters

fieldOfViewY System.Single
Field of view in the y direction, in radians.
aspectRatio System.Single
Aspect ratio, defined as the view space width divided by height.
znearPlane System.Single
Z-value of the near view plane.
zfarPlane System.Single
Z-value of the far view plane.

Return Value

Microsoft.DirectX.Matrix
A Matrix structure that is a left-handed perspective projection matrix.

Remarks

This method uses the following formula to compute the returned matrix. The view space height is represented by h, which is calculated from h = cot(fieldOfViewY/2). The view space width is represented by w, which is calculated from h = w / aspectRatio. 

w       0       0                                             0
0       h       0                                             0
0       0       zfarPlane/(zfarPlane-znearPlane)              1
0       0       -znearPlane*zfarPlane/(zfarPlane-znearPlane)  0

How Do I...?

Set Up a Projection Matrix

This example demonstrates how to set up the projection transformation matrix, which transforms 3-D camera or view space coordinates into 2-D screen coordinates.

See the following C# code example, the Projection transformation matrix is set to be equal to the left-handed (LH) PerspectiveFovLH matrix. Input arguments to PerspectiveFovLH are as follows.

  1. Field of view in radians: pi/4.
  2. Aspect ratio, or view-space height divided by width: 1, for a square window.
  3. Near clipping plane distance: 1 unit.
  4. Far clipping plane distance: 100 units.

              [C#]
              

using Microsoft.DirectX;

Direct3D.Device device = null;  // Create rendering device.

// For the projection matrix, you set up a perspective transform (which
//   transforms geometry from 3-D view space to 2-D viewport space, with
//   a perspective divide making objects smaller in the distance). To build
//   a perspective transform, you need the field of view (1/4 pi is common),
//   the aspect ratio, and the near and far clipping planes (which define 
//   the distances at which geometry should no longer be rendered).

device.Transform.Projection = Matrix.PerspectiveFovLH(
                              (float)Math.PI / 4, 1.0f, 1.0f, 100.0f );

See Also

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