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

Define the term -monitoring, Define the term -Monitoring Chemical and n...

Define the term -Monitoring Chemical and nuclear plants (monitoring key parameters), hospitals (monitoring patient's vital signs), burglar alarms (monitoring for intruders) etc

Basics of animation - computer animation, Basics of Animation - Computer an...

Basics of Animation - Computer animation Historical and traditional methods for production of animation: As we have studied the transformations linked in computer graphics

Fill in the blanks, a__________of a scene is apart of a scene by which rela...

a__________of a scene is apart of a scene by which relate one part of the scene with the other parts of the scene

Determine the refresh rate in the raster system, Example 1 : Determine the ...

Example 1 : Determine the number of memory bits essential for three bit plane frame buffer for the 512 x 512 raster Solution: Whole memory bits needed are 3 x 512 x 512 = 786,

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

Tagged image file format, TIFF: It is Tagged Image file format which is us...

TIFF: It is Tagged Image file format which is used mainly for exchanging documents among various applications and computers. This was primarily designed to turn into the standa

Adobe flash - softwares for computer animation, Adobe flash - Softwares for...

Adobe flash - Softwares for computer animation Formerly, it was termed as Macromedia flash and prior to this, this was Futuresplash. This is in fact an IDE that refers to both

#BLA, #BLA for slope greater and equal to 1

#BLA for slope greater and equal to 1

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