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

3D transformation, what are the steps involved in 3D transformation

what are the steps involved in 3D transformation

Physics - based modeling, Draw the five regular polyhedras using physics-ba...

Draw the five regular polyhedras using physics-based modeling method. Implement a fractal algorithm with possible personal extensions. Also, specify the extensions.

What is computer-aided design, What is CAD Drawings created with Comput...

What is CAD Drawings created with Computer-Aided Design (CAD) tools, which were introduced in  the 1960s, represented tremendous productivity gains over paper drawings, such as

Polygonalization of the surface, Remember in polygonalization of the surfac...

Remember in polygonalization of the surface, following rules must be followed. Any two polygons  (i)  share a common edge,   (ii)  Share a common vertext,  (iii)  Arc disj

Explain about the computer based training, Explain about the Computer Based...

Explain about the Computer Based Training CBT makes use of a computer system to train people in numerous applications. It makes use of self-assessment and multimedia with minim

Define clipping, Define clipping and covering (exterior clipping)? Clip...

Define clipping and covering (exterior clipping)? Clipping is the process of cutting a graphics display to neatly fit a predefined graphics region or the view port.  This is

Multimedia applications, what are activities to be undertaken or executed a...

what are activities to be undertaken or executed and the expected output of each activity for a plan creation of a movie?

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