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

Scan-line method, In contrast to depth-buffer method, here we identify one ...

In contrast to depth-buffer method, here we identify one surface at one time, scan-line method deals along with multiple surfaces. Since it processes each scan-line at one time, al

Basic tests - producing polygon surface, Basic Tests - Producing Polygon Su...

Basic Tests - Producing Polygon Surface A few basic tests that must be performed before producing a polygon surface through any graphic package as: 1) All vertexes are list

Digital signal processing system for an analog signal, QUESTION (a) Dra...

QUESTION (a) Draw and explain the block diagram of a Digital Signal Processing System for an analog signal. (b) Draw the pictorial representation of the signals at each leve

Computer Architecture, How many 128 x 8 RAM chips are needed to provide a m...

How many 128 x 8 RAM chips are needed to provide a memory capacity of 4096 16 bits?

Polygon clipping - raster graphics and clipping, Polygon Clipping - Raster ...

Polygon Clipping - Raster Graphics and Clipping After considerate the idea of line clipping and its algorithms, we can currently extend the idea of line clipping to polygon cl

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

Bresenham rasterisation algorithm, 2. Describe how the Bresenham rasterisat...

2. Describe how the Bresenham rasterisation algorithm is advantageous when compared to any other existing method.

Associative links, Associative Links: it is a link that is completely inde...

Associative Links: it is a link that is completely independent of the exact structure of the information. For illustration we have links depends on the meaning of various informat

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

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