fov | Vertical field-of-view in degrees. |
aspect | Aspect ratio (width divided by height). |
zNear | Near depth clipping plane value. |
zFar | Far depth clipping plane value. |
Matrix4x4 The projection matrix.
Create a perspective projection matrix.
Projection matrices in Unity follow OpenGL convention, i.e. clip space near plane is at z=-1
, and far plane is at z=1
.
The returned matrix embeds a z-flip operation whose purpose is to cancel the z-flip performed by the camera view matrix.
If the view matrix is an identity or some custom matrix that doesn't perform a z-flip, consider multiplying the third
column of the projection matrix (i.e. m02, m12, m22 and m32) by -1.
Note that depending on the graphics API used, projection matrices in shaders can follow different convention, for example the D3D-style
clip space has near plane at zero and far plane at one; and "reversed Z" projection has near plane at one and far plane at zero.
To calculate projection matrix value suitable for passing to shader variables, use GL.GetGPUProjectionMatrix.
using UnityEngine;
public class ExampleScript : MonoBehaviour { void Start() { // create projection matrix: 60 FOV, square aspect, // near plane 1, far plane 100 var matrix = Matrix4x4.Perspective(60, 1, 1, 100); // will print: // 0.20000 0.00000 0.00000 0.00000 // 0.00000 0.20000 0.00000 0.00000 // 0.00000 0.00000 -0.02020 -1.02020 // 0.00000 0.00000 0.00000 1.00000 Debug.Log("projection matrix\n" + matrix);
// get shader-compatible projection matrix value var shaderMatrix = GL.GetGPUProjectionMatrix(matrix, false); // on a Direct3D-like graphics API, will print: // 0.20000 0.00000 0.00000 0.00000 // 0.00000 0.20000 0.00000 0.00000 // 0.00000 0.00000 0.01010 1.01010 // 0.00000 0.00000 0.00000 1.00000 Debug.Log("shader projection matrix\n" + shaderMatrix); } }
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