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

Subdivision of polygon - visible surface detection , Subdivision of polyg...

Subdivision of polygon Test to find out the visibility of a single surface are made through comparing surfaces that as polygons P along regarding a specified screen area A.

Determine how many key frames does one minute animation film, How many key ...

How many key frames does one minute animation film order along with no duplications need if there are five in among for each pair of key frames?   Solution : One minute = 60 sec

Application of computer aided design, Application of Computer Aided Design ...

Application of Computer Aided Design There are several CAD software applications. Several of them along with their respective vendors are listed here: CAD Applications

Two point and three point perspective transformations, Two-Point and Three-...

Two-Point and Three-Point Perspective transformations The two-point perspective projection can be acquired by rotating about one of the principal axis only and projecting upon

Computer animation - computer aided design, computer animation Note :...

computer animation Note : This is to be noticed that computer animation can also be produced by changing camera parameters as its position, orientation and focal length, as w

Concept for eliminating hidden lines, Concept for Eliminating Hidden Lines,...

Concept for Eliminating Hidden Lines, Surfaces or Edges To exemplify the concept for eliminating hidden-lines, surfaces or edges, see a classic wire frame model of a cube as i

What is persistence, Persistence: How long they continue to emit light (...

Persistence: How long they continue to emit light (that is, have excited electrons returning to the ground state) after the CRT beam is removed. Persistence is defined as the ti

3dstudio - softwares for computer animation, 3Dstudio - Softwares for compu...

3Dstudio - Softwares for computer animation 3DStudio is a 3-D computer graphics programmed. 3DStudio runs on personal computers. This is relatively simple to use. Several schoo

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