Discuss the Taxonomy of Projection in computer graphics, with suitable diagram. Compare and contrast Parallel & Perspective projection, in detail (i.e. with suitable examples, equations, expressions etc.). What is isometric projection? What do you understand by the term vanishing point in context of projections, in computer graphics. Obtain a Projection matrix for perspective projection of a point P(x,y,z) onto z= 5 plane, provided the center of projection is at (0,0,-10), can we find the vanishing point(s) for this projection? Justify.

Taxonomy of Projection in Computer Graphics

Projection in computer graphics refers to the process of transforming 3D objects onto a 2D plane for display. There are two main types of projection: parallel projection and perspective projection.

Parallel Projection:
In parallel projection, all the projection lines are parallel to each other. This means that objects do not appear smaller as they move farther away from the viewer. The most common types of parallel projection are orthographic and isometric projection.

Perspective Projection:
In perspective projection, projection lines converge at a single point called the vanishing point. This creates the illusion of depth, as objects farther away from the viewer ___ _____ __________ _____ __________ ____ ________ ___ ___ __________.
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