# Parallel And Perspective Projection In Computer Graphics Pdf

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Published: 20.03.2021  ## 8 Difference Between Parallel And Perspective Projection In Computer Graphics

A parallel projection is a projection of an object in three-dimensional space onto a fixed plane referred as the projection plane or image plane, where the rays, known as lines of sight or projection lines are parallel to each other. The projection is referred to as orthographic if the rays are perpendicular to the image plane and oblique or skew if they are not. Among the parallel projections, orthographic projections are the most realistic and are commonly used by engineers whereas certain types of oblique projections such as cavalier projection, military projection are very simple to implement and are used to create quick and informal pictorials of objects. A perspective projection can be described as the projector lines lines of sight that converge at the center of projection, which results in many visual effects of an object. Perspective projection depends on the relative position of the eye and the viewplane. A perspective projection of an object is often considered more realistic than a parallel projection, since it nearly resembles human vision and photography. An important property of perspective projection is that it preserves straight lines; this allows us to project only the end-points of 3D lines and then draw a 2D line between the projected endpoints.

It is a continuing area of research in scientific visualization. Furthermore, 3D graphics components are now a part of almost every personal computer and, although traditionally intended for graphics-intensive software such as games, they are increasingly being used by other applications. Parallel projection discards z-coordinate and parallel lines from each vertex on the object are extended until they intersect the view plane. In parallel projection, we specify a direction of projection instead of center of projection. In parallel projection, the distance from the center of projection to project plane is infinite. In this type of projection, we connect the projected vertices by line segments which correspond to connections on the original object.

In this article, we would go through the meaning of Projection and also see the difference between Parallel and Perspective Projection. Projection is nothing but projecting three-dimensional objects view plan into two-dimensional view plan. The projection lines are known as the projector through which the mapping of an image is identified. There are two methods of projection, parallel projection and perspective projection. In this, all the parallel lines in the object which is not parallel to view plane are converged and the point of converging is known as the vanishing point or converging point. This vanishing point makes the object smaller with the distance. ## 3D Computer Graphics

Projection are defined as mapping of three-dimensional points to a two-dimensional plane. There are two type of projection parallel and perspective. Parallel Projection : Parallel projections are used by architects and engineers for creating working drawing of the object, for complete representations require two or more views of an object using different planes. Parallel Projection use to display picture in its true shape and size. When projectors are perpendicular to view plane then is called orthographic projection.

A parallel projection is a projection of an object in three-dimensional space onto a fixed plane , known as the projection plane or image plane , where the rays , known as lines of sight or projection lines , are parallel to each other. It is a basic tool in descriptive geometry. The projection is called orthographic if the rays are perpendicular orthogonal to the image plane, and oblique or skew if they are not. A parallel projection is a particular case of projection in mathematics and graphical projection in technical drawing. Parallel projections can be seen as the limit of a central or perspective projection , in which the rays pass through a fixed point called the center or viewpoint , as this point is moved towards infinity. Put differently, a parallel projection corresponds to a perspective projection with an infinite focal length the distance between the lens and the focal point in photography or " zoom ".

There are two type of projection parallel and perspective. The use of matrices in computer graphics is widespread. Video gaming industry, maybe the earliest industry to rely heavily on computer graphics, is now representing rendered polygon in 3-Dimensions. Parallel Projection A parallel projection preserves relative proportions of objects, but does not give realistic appearance commonly used in engineering drawing. Marks: 10M. It provides a mathematical formalism to describe the geometry of cameras and the associated transformations, hence enabling the design of computational ap-proaches that manipulates 2D projections of 3D objects. Parallel projection represents the object in a different way like telescope. Perspective projection represents the object in three dimensional way. The distance of the object from the center of projection is infinite. The distance of the object from the center of projection is finite.

## Projection- parallel and perspective

Perspective projection is a type of drawing that graphically approximates on a planar two-dimensional surface e. It is sometimes also called perspective view or perspective drawing or simply perspective. All perspectives on a planar surface have some degree of distortion, similar to the distortion created when portraying the earth's surface on a planar map.

Definition Projection can be defined as a mapping of point P x,y,z onto its image P x,y,z in the projection plane, which constitute the display surface. The mapping is determind by a projection line called the Projector that passes through P and intersect the view plane. The intersection point is P. P x,y,z.

Marks: 10M. A 3D projection or graphical projection is a design technique used to display a three-dimensional 3D object on a two-dimensional 2D surface. The projections discussed in this book transform a scene from three dimensions to two dimensions. The latter is a largely ignored holy grail of computer vision.

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