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

Ray tracing algorithm - recursive, Ray Tracing Algorithm - Recursive ...

Ray Tracing Algorithm - Recursive Frequently, the basic ray tracing algorithm is termed as a "recursive" acquiring an outcome wherein a given process repeats itself an arbitr

#title., what is the working procedure of CRT with diagram

what is the working procedure of CRT with diagram

Picture information - raster graphics and clipping, Picture Information - ...

Picture Information - Raster Graphics and  Clipping Now, the picture information is accumulated in the form of bit plans on which all bit plane complete information of pictur

3d graphics, Define hermite interpolation in deatail description with examp...

Define hermite interpolation in deatail description with example?

What do you understand by the term contone, Question : (a) What do you...

Question : (a) What do you understand by the term ‘contone'? (b) What are spot colours? (c) You have been asked to prepare an artwork (a magazine) to send to a printer.

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

Midpoint circle algorithm for scan converting a circle, Explain Bresenham s...

Explain Bresenham s circle drawing algorithm,  OR   Explain midpoint circle algorithm for scan converting a circle. Midpoint Circle Algorithm   1. Input radius r and circle

Clipping and 3d primitives, Clipping and 3D Primitives This unit introd...

Clipping and 3D Primitives This unit introduces you to three important concepts of Computer Graphics. After that discusses the concept of clipping, which means removal of objec

Define polygon, Define polygon?  A polygon is any closed continues sequ...

Define polygon?  A polygon is any closed continues sequence of line segments i.e., a polyline whose last node point is similar as that of its first node point. The line segment

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