What is the Projection View Matrix in Spatial Computing

Oscar de la Hera Gomez
A flower that represents spatial computing with the text "Model View Projection Matrix" beneath it.

The area within the point of view of a camera that is visible in an augmented reality (A/R), virtual reality (V/R), mixed reality (M/R) or spatial computing experience.

An image showing a cone infront of the camera. The volume that is produced is colored in the middle area, suggesting that the camera can only see between the 'mid plane' and the 'far plane'.

When creating an A/R, V/R, M/R or Spatial Computing experience some designers or developers question why the camera doesn't visualize things that are either too close or too far.

The reason behind this is that the camera that they have chosen for the experience is configured through two planes, the near plane and the far plane, and only render visuals for the elements of the camera's point of view that fall within the two planes.

The mathematics behind the calculation of this volume is demonstrated below.

A diagram that shows the mathematics behind the Model View Project Matrix.

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