What is the Difference Between Parallel and Perspective Projection?

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The main difference between parallel and perspective projection lies in the representation of objects, the shape and size of objects, and the distance from the center of projection. Here are the key differences between the two types of projections:

Parallel Projection:

  1. Represents objects as if being viewed through a telescope.
  2. Does not alter the shape or size of objects on the plane.
  3. Projector is parallel.
  4. Distance from the center of projection (COP) to the projection plane is infinite.
  5. Suitable for creating working drawings and exact measurements.
  6. Types: Orthographic and Oblique projections.

Perspective Projection:

  1. Represents objects in a three-dimensional manner.
  2. Objects appear smaller the further they are from the viewer and larger when closer.
  3. Projector is not parallel.
  4. Distance from the COP to the projection plane is finite.
  5. Creates a realistic view of objects and the world.
  6. Types: One-point, Two-point, and Three-point perspectives.

In summary, parallel projection is suitable for creating technical drawings and precise measurements, while perspective projection provides a more natural and realistic view of objects in three-dimensional space.

Comparative Table: Parallel vs Perspective Projection

Here is a table comparing parallel and perspective projections:

Parameter Parallel Projection Perspective Projection
Representation of Objects Objects are represented as if being viewed through a telescope. Objects are represented in a three-dimensional manner.
Shape and Size of Objects Does not alter the shape or size of the given object. Alters the shape and size of objects, making objects farther away appear smaller and objects closer appear bigger.
Center of Projection The center of projection is at infinity. The center of projection is at a point.
Types There are two types: Orthographic and Oblique. There are three types: One Point, Two Point, and Three Point.
Realistic View Parallel projection does not create a realistic view of objects. Perspective projection creates a realistic view of objects.
Used by Architects and engineers for creating working drawings. Artists for drawing three-dimensional scenes.

In summary, parallel projection is used by architects and engineers to create working drawings of objects, displaying them in their true shape and size. Perspective projection, on the other hand, is used by artists to draw three-dimensional scenes, representing objects in a more realistic manner with depth.