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

Text generation and character generation techniques, Write short notes on T...

Write short notes on Text generation.   OR Character Generation Techniques  Character Generation Techniques   Two different representations are used for storing computer fon

Assumption for diffuse reflection - polygon rendering, Assumption for Diffu...

Assumption for Diffuse Reflection - Polygon Rendering  i) the diffuse reflections by the surface are scattered along with equal intensity in each direction, independent of vie

Unity, what I unity of java game?

what I unity of java game?

Graphics, GRAPHICS: It is one of the core elements of any multimedia ...

GRAPHICS: It is one of the core elements of any multimedia application. We all have heard a well-known saying as "one picture conveys a message of 1000 words", hence without

Derive the common transformation of parallel projection, Derive the common ...

Derive the common transformation of parallel projection into the xy-plane in the direction of projection d=aI+bJ+cK. Solution: The common transformation of parallel projection

Graphics programming, Explain rubber-band interactive picture technique

Explain rubber-band interactive picture technique

Associative links, Associative Links: it is a link that is completely inde...

Associative Links: it is a link that is completely independent of the exact structure of the information. For illustration we have links depends on the meaning of various informat

Midpoint circle generation algorithm - 2d shape primitives, Midpoint Circle...

Midpoint Circle Generation Algorithm   Just as a line drawing algorithm approximates infinite number of points on a line segment by only a finite number of pixels, a circle dra

Referential links, Referential Links: A third type of link is a referentia...

Referential Links: A third type of link is a referential link. It is associated to the associative link. Quite than representing a relationship among two related ideas, a referent

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