Explain the concept of perspective projection in computer graphics.

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Explain the concept of perspective projection in computer graphics.

Perspective projection is a technique used in computer graphics to create a realistic representation of a three-dimensional scene on a two-dimensional surface, such as a computer screen. It simulates the way our eyes perceive objects in the real world by taking into account the concept of depth perception.

In perspective projection, objects that are closer to the viewer appear larger, while objects that are farther away appear smaller. This is achieved by projecting the three-dimensional coordinates of the objects onto a two-dimensional plane, known as the projection plane or image plane.

To perform perspective projection, a virtual camera is placed in the scene, which determines the viewpoint and the direction in which the scene is observed. The camera has a focal length, which determines the field of view and the amount of perspective distortion.

The projection process involves transforming the three-dimensional coordinates of the objects into two-dimensional coordinates on the image plane. This is done by applying a series of mathematical transformations, such as scaling, rotation, and translation, to the objects' vertices.

The resulting two-dimensional coordinates are then used to render the scene on the computer screen, taking into account factors such as lighting, shading, and texture mapping to enhance the realism of the image.

Overall, perspective projection is a fundamental concept in computer graphics that allows for the creation of realistic and immersive visual experiences by simulating the way we perceive depth in the real world.