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

Homogeneous coordinates, What are the uses of homogeneous coordinates? Conv...

What are the uses of homogeneous coordinates? Convert translation rotation and scaling in homogeneous coordinates. In mathematics homogeneous coordinates introduced by August

Storing information structures in display memory, What is the major disadva...

What is the major disadvantages of storing information structures in display memory? A major disadvantage of storing information structures in display memory is that when color an

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

Define hermite interpolation in deatail description with example?

Cathode ray tube, cathode ray tube is an analog or digital device

cathode ray tube is an analog or digital device

Soft image and strata studio - computer animation, Soft Image and Strata ...

Soft Image and Strata Studio - Computer Animation SoftImage It is the one of most well known computer animation software packages. It is used in several top production

Multimedia tool features, Multimedia Tool Features General to nearly a...

Multimedia Tool Features General to nearly all multimedia tool platforms are various features for encapsulating the content, presenting the data, acquiring user input and cont

Steps for clip a line segment-pq, Steps for clip a line segment-PQ ...

Steps for clip a line segment-PQ Initially, find all the points of intersections of the line segment PQ along with the edges of the polygonal window and describe them eith

Applications for computer animation, Applications For Computer Animation ...

Applications For Computer Animation These days, animation influences approximately every aspect of life right from entertainment to education and to security and lots of more a

Ambient reflection-polygon rendering & ray tracing methods , Ambient Reflec...

Ambient Reflection-Polygon Rendering & Ray Tracing Methods When we go for the examiner of light effects, so surroundings play a significant role and it is assumed as there

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