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

Diffuse reflection - polygon rendering & ray tracing methods, Diffuse Refle...

Diffuse Reflection - Polygon Rendering & Ray Tracing Methods It is characteristic of light reflected from a non-shiny, dull surface. Objects illuminated solely through diff

Input and output devices - computer aided design, Input and Output Devices ...

Input and Output Devices - computer aided design Output and Input devices are quite significant for any software since an unsuitable selection of the concerned hardware may tu

Interactive picture construction techniques, Explain the interactive pictur...

Explain the interactive picture construction techniques.    interactive picture- construction methods are commonly used in variety of applications, including design and painting pa

Trivial acceptance case of cohen sutherland line clippings, Trivial accepta...

Trivial acceptance case of cohen sutherland line clippings Case 1: it is Trivial acceptance case whether the UDLR bit codes of the end points P, Q of a provided line is 0000

Silicon graphics - hardware for computer animation, Silicon Graphics - Hard...

Silicon Graphics - Hardware for computer animation The SGI platform is one of the most broadly used hardware platforms in professional or broadcast feature computer animation

Linearly interpolate - modeling and rendering, Linearly interpolate - Model...

Linearly interpolate - Modeling and Rendering I 4 = I 1 + t (I 2 - I 1 ); here t = (|y 1 - y 2 |)/(|y 1 - y 2 |) I D = I A + t (I B - I A ); here t = (|AD|)/(|AB|)

Transformation, determine the form of the transformation matrix for a refle...

determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.

Analog sound vs. digital sound, Analog Sound vs. Digital Sound Sound e...

Analog Sound vs. Digital Sound Sound engineers have been debating the respective merits of digital and analog sound reproduction ever if the form of digital sound recordings.

Briefly explain modes and switches, Question 1 Write a note on: Audio Spec...

Question 1 Write a note on: Audio Spectrum & Audio Waveform Question 2 What is high dynamic range color? Explain gradient color Question 3 Describe Time-Remapping

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