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

Write a c code for generating concentric circles, Write a C code for genera...

Write a C code for generating concentric circles.  Put the circle function circleMidpoint()in a for loop  as follows: for( int radius = MinRadius; radius circleMidpoint(i

Matlab, need help in coding

need help in coding

Multimedia and its features, Multimedia as the name suggests MULTI and MEDI...

Multimedia as the name suggests MULTI and MEDIA utilizes some media for example: text, graphics, audio, video and also animation, to convey information. Multimedia also consider to

Why are all resolutions in ratio of 4:3, Q. Why are all resolutions in rati...

Q. Why are all resolutions in ratio of 4:3? The bad news is that almost every monitor can only display upto a maximum of 262,144 colours (i.e.  18 bits/pixel Colour Depth). The

Types of formats of audio file formats, Types of Formats It is signific...

Types of Formats It is significant to distinguish among a file format and a codec. Although most audio file formats support merely one audio codec, a file format may assist mul

Remark for the bresenham line generation algorithm, Remark for the Bresenha...

Remark for the Bresenham Line Generation Algorithm Remark: The algorithm will be properly the same if we suppose | m | Algorithm | m | (a) Input two line endi

Odd-even rule and non-zero winding number rule, What is the difference betw...

What is the difference between odd-even rule and non-zero winding number rule to identify interior regions of an object? Develop an algorithm for a recursive method for filling a 4

Hypertext, Hypertext: it is conceptually very similar as regular text: it ...

Hypertext: it is conceptually very similar as regular text: it can be stored, searched, read, or edited along with a significant difference: hypertext is text along with pointers

Resolution - display devices, Resolution - Display Devices On a display...

Resolution - Display Devices On a display device, the resolution means the maximum number of points that can be displayed simultaneously without an overlap in a row and number

What is orthographic oblique projection, What is orthographic oblique proje...

What is orthographic oblique projection?  When the direction of the projection is not normal (not perpendicular) to the view plane then the projection is called as oblique proj

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