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

Common principles of ray tracing, Common Principles of Ray Tracing Bas...

Common Principles of Ray Tracing Based upon the nature or attributes of the surface given by the user, the subsequent effects are implemented, as per to rules of optics:  a

What are the advantages of electrostatic plotters, What are the advantages ...

What are the advantages of electrostatic plotters?  They are faster than pen plotters and very high quality printers. Recent electrostatic plotters contain a scan-conv

Fixed point scaling, what is fixed point scaling? how composit transformati...

what is fixed point scaling? how composit transformation techniques works on it

Delta-delta arrangement and in-line arrangement, Delta-Delta Arrangement an...

Delta-Delta Arrangement and In-Line Arrangement There are two types of shadow masks available, delta-delta arrangement and in-line arrangement. The in-line arrangement refers t

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

Microsoft Word 2010, what are three features to use to create your flyer to...

what are three features to use to create your flyer to market?

Write short notes on rendering bi-cubic surface, Write short notes on rende...

Write short notes on rendering bi-cubic surface patches of constant u and v method?  The simple way is to draw the iso-parmetric lines of the surface. Discrete approximations t

Cases of the sutherland hodgman polygon clipping algorithm, Cases of the Su...

Cases of the Sutherland Hodgman Polygon Clipping Algorithm In order to clip polygon edges against a window edge we move from vertex V i to the subsequent vertexV i+1 and cho

Open Gl, Write a program in C/C++ using OpenGL to create (without using bui...

Write a program in C/C++ using OpenGL to create (without using built in function) a square by implementing shear algorithm along 1. X-axis, 2.Y-axis.

Scan conversion, what are the advertising effects of scan conversion

what are the advertising effects of scan conversion

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