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

Shannon fano with the lempel ziv welsh algorithm, Question: (a) A stat...

Question: (a) A statistical encoding algorithm is being considered for the transmission of a large number of long text files over a public network. Part of the file content i

Matrix for orthographic projection, Matrix for Orthographic Projection ...

Matrix for Orthographic Projection Orthographic projections are projections into one of the coordinate planes x=0, y=0or z=0. The matrix for orthographic projection on the z=0

Dv encoder type 1, DV Encoder Type 1 : The video and audio streams are tog...

DV Encoder Type 1 : The video and audio streams are together interfaces by standard DV bit stream. Such format is fully supported through DirectShow which accepts this interleaved

Objectives of 2-d viewing and clipping, Objectives of 2-D Viewing and Clipp...

Objectives of 2-D Viewing and Clipping After going through this section, you should be capable to: 1. Describe the concept of clipping, 2. Observe how line clipping is p

Removing polygons hidden through a surrounding polygon, Removing Polygons H...

Removing Polygons Hidden through a Surrounding Polygon: The key to capable visibility calculation lies actually a polygon is not visible whether it is in back of a surrounding

Convert the intensity value of the current pixel, Step1:  Read a text file ...

Step1:  Read a text file which we want to hide. Step2:  Transform it into an array of its binary value. Step3: Transform this array into its equivalent one dimensional array

For orthographic parallel projection, For orthographic parallel projection:...

For orthographic parallel projection:    glOrtho(left, right, bottom, top, near, far);  glOrtho2D(left, right, bottom, top);    Here left, right define the x-direction ex

Multimedia-applications for computer animation, Multimedia: it is the use ...

Multimedia: it is the use of different media to present a specific subject. This representation itself is a multimedia presentation implies; it brings together text and graphics.

Computer science, what do you means by bresenham s him algorithm

what do you means by bresenham s him algorithm

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