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

Compression methods utilized for digital video, Compression methods utilize...

Compression methods utilized for digital video can be categorized in three major groups: General reason compression techniques can be utilized for any type of data. Intr

Write c program which takes points as input from mouse click, Write a C pro...

Write a C program which takes points as input from mouse clicks (left button) and then performs an action.  Apply your program to generate a closed polygon as follows: Every time a

Introduction of viewing transformations, Introduction of Viewing  Transfor...

Introduction of Viewing  Transformations Projection is fundamentally a transformation or mapping of 3D objects upon 2D screen. Projection is mostly categorised in Para

Where the video controller is used, Where the video controller is used?  ...

Where the video controller is used?  A special purpose processor, which is used to control the operation of the display device, is called as display controller or video control

Lamberts cosine law - diffuse reflection, Lamberts Cosine Law - Diffuse Ref...

Lamberts Cosine Law - Diffuse Reflection "LAMBERTS COSINE LAW" specify that the radiant energy from any minute surface area dA in any direction θ relative to the surface usual

Web-based services, Web-based Services: Commonly utilized software is: ...

Web-based Services: Commonly utilized software is: Protected Area Archive characteristics: Image display, roam, zoom and Image enhancement. Simple image processing.

Phong specular reflection model or specular reflection, Phong Specular Refl...

Phong Specular Reflection Model or Specular Reflection This model of local illumination is frequently termed as the Phong specular reflection model. Here we discuss the matter

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