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

3-d modeling and animation tools, 3-D Modeling and Animation Tools: By 3-D...

3-D Modeling and Animation Tools: By 3-D modeling software, objects rendered in perspective show more realistic. One can produce stunning scenes and wander by them, choosing just

Curve segment - properties of bezier curves, Curve segment - properties of ...

Curve segment - properties of bezier curves Note : 1) The joining point on the curve along w.r.t. the parameter based upon second derivates of Q(t) is the acceleration. Wh

Alias wavefront - softwares for computer animation, Alias Wavefront - Softw...

Alias Wavefront - Softwares for Computer Animation Alias is one of the highest computer animation packages out there. Alias was formed by the company which used to be Alias, a

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

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

Chain of responsibility and the iterator patterns, QUESTION (a) Conside...

QUESTION (a) Consider the observer, façade, chain of responsibility and the iterator patterns. i) Give detailed descriptions and draw their structures. ii) Explain the in

Surface of revolution - modeling and rendering, Surface of Revolution - Mod...

Surface of Revolution - Modeling and Rendering In the previsions sections we have learned different type of techniques of generating curves, although if we wish to generate a

Transformation, Explain window to view port transformation

Explain window to view port transformation

Engineering-applications for computer animation, Engineering: CAD has alwa...

Engineering: CAD has always been an imperative tool in industry. For illustration in automobile design, CAD could be utilized to model a car. Although with the advent of computer

Calculate the gray level value for all the pixels, An 8x8 image f[i,j] has ...

An 8x8 image f[i,j] has gray levels given by the following equation: f [i , j]= ? i-j ? ; i,j=0,1,2,3,4,5,6,7. a. Calculate the gray level value for all the pixels in the 8x8

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