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Computer Graphics: Difference between revisions
→Perspective Projection Matrix
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The projection matrix applies a perspective projection based on the field of view of the camera. This is done dividing the x,y view coordinates by the z-coordinate so that further object appear closer to the center. Note that the output is typically in normalized device coordinates <math>[-1, 1]\times[-1, 1]</math> rather than image coordinates <math>[0, W] \times [0, H]</math>. | The projection matrix applies a perspective projection based on the field of view of the camera. This is done dividing the x,y view coordinates by the z-coordinate so that further object appear closer to the center. Note that the output is typically in normalized device coordinates <math>[-1, 1]\times[-1, 1]</math> rather than image coordinates <math>[0, W] \times [0, H]</math>. | ||
Notes: In computer vision, this is | Notes: In computer vision, this is analogous to the calibration matrix <math>K</math>. | ||
It contains the intrinsic parameters of your pinhole camera such as field of view and focal length | It contains the intrinsic parameters of your pinhole camera such as field of view and focal length. The focal length determines the resolution of your output. | ||
===Inverting the projection=== | ===Inverting the projection=== | ||