Projections - viewing transformation, Computer Graphics

Assignment Help:

Projections - Viewing Transformation

Specified 3-D object in a space, Projection can be explained as a mapping of 3-D object into 2-D viewing screen. Now, 2-D screen is termed as Plane of projection or view plane that constitutes the display surface. The mapping is resolved by projection rays termed as the projectors. Geometric projections of objects are formed via the intersection of lines termed as projectors with a plane termed as plane of projection or view plane. Projectors are lines from an arbitrary point, termed as the centre of projection i.e. COP, by each point in an object. Following figure 1 demonstrates a mapping of point P(x,y,z) on its image P′(x',y',z') in the view plane.

1676_Projections - Viewing Transformation.png

Figure: 1

If the COP that is center of projection is located at finite point in the 3-space, the effect is a perspective projection. If the COP i.e. center of projection is located at infinity, all the projectors are parallel and the consequence is a parallel projection. Following figure 2(a)-(b) demonstrates the diversity between perspective and parallel projections. In following figure 2(a): ABCD is projected to A'B'C'D' on the plane of projection and O is a COP. In the condition of parallel projection the rays by an object converge at infinity, the rays from the object turn into parallel and will have a direction termed as "direction of projection".

621_Projections - Viewing Transformation 1.png

Figure 2(b): Parallel projection


Related Discussions:- Projections - viewing transformation

Important points for key frame systems - computer animation, Important poin...

Important points for Key Frame Systems - Computer Animation In key frame systems the "in-between" "tweening" or frames can be created from the specification of two or more key

Objectives-introduction to computer graphics, Objectives After complet...

Objectives After completing this section, you must be familiar with: explain computer graphics, its characteristics and features; Conversations about applicat

Scan line algorithm - output primitives, Scan Line Algorithm A scan lin...

Scan Line Algorithm A scan line algorithm determines the overlap intervals of the polygon with each scan line to obtain interior points of the polygon for assigning those point

Education training process, Education training process falls into three gen...

Education training process falls into three general categories: 1) Instructor Support Products: These are used through teachers additionally to text books, lectures and other

Serial line db9 connector, Main Objectives of this connector is to allow fu...

Main Objectives of this connector is to allow full duplex communication between peripherals that uses such connector such PIC Demo board, ICD2 Debugger etc. The RS32 connector pin

What is homogeneous coordinate, What is homogeneous coordinate? Discuss the...

What is homogeneous coordinate? Discuss the composite transformation matrix for two successive translations and scaling. In design and picture formation process, many times

Side effects due to scan conversion, What are the side effects due to scan ...

What are the side effects due to scan conversion? How can the effects be minimized? Aliasing Effects (Side effects of scan conversion)   Scan conversion is essentially a syst

2-d viewing and clipping - raster graphics and clipping, 2-D Viewing and C...

2-D Viewing and Clipping - Raster Graphics and  Clipping In the previous two units of this block, we illustrated the basic elements of computer graphics, that is, the hardware

Transformation for parallel projection, Transformation for parallel project...

Transformation for parallel projection Parallel projections is also termed as Orthographic projection, are projections into one of the coordinate planes as x = 0, y = 0 or z

Essentialily of computer simulation, Essentialily of Computer Simulation ...

Essentialily of Computer Simulation You may want to understand why to do simulation? Is there any one way to perform the tasks? To converse these matters lets briefly discuss

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd