Achieve a perspective projection on the plane of unit cube, Computer Graphics

Assignment Help:

Achieve a perspective projection on the z = 0 plane of the unit cube, demonstrated in Figure (l) from the cop at E (0, 0, 10) upon the z-axis.

564_Achieve a Perspective Projection on the Plane of Unit Cube.png

Figure: I

01:  currently center of projection

E = (0, 0, -d) = (0, 0, 10).

∴ d = - 10

We identify here (from equation - 1), the particular point perspective transformation of the projection along with z = 0, plane; here cop is at (0, 0, -d) is provided by:

134_Achieve a Perspective Projection on the Plane of Unit Cube 1.png

--------------------------(I)

Pn' = P. Pper, z                                                                     --------------- (II)

Hence the perspective transformation of a provided cubes v = [ABCDEFGH] to V' = [A'B'C'D'E'F'G'H'] with d = - 10 is provided by:

[V'] = [V] . [Pper, z]

1957_Achieve a Perspective Projection on the Plane of Unit Cube 2.png

Hence the projected points of a provided cube V = [ABCDEFGH] are as:

A' =(0, 0, 0), B' = (1.11, 0, 0), C' = (1.11, 1.11, 0), D' = (0, 1.11, 0), E' = (0, 0, 0) F' = (1, 0, 0), G' = (1, 1, 0) and H' = (0, 1, 0).


Related Discussions:- Achieve a perspective projection on the plane of unit cube

Explain any ten types of artistic filters, Question 1 Explain any ten type...

Question 1 Explain any ten types of artistic filters Question 2 What is Freehand Tool? Explain the procedure of drawing lines and curves with freehand tool Question 3 Ho

Low level techniques or motion specific, Low Level Techniques or Motion Spe...

Low Level Techniques or Motion Specific These techniques are utilized to control the motion of any graphic element in any animation scene completely. These techniques are also

Dda and bresenhem line drawing algorithm, when dda algorithm is more effici...

when dda algorithm is more efficient than bresenhem line drawing algorithm

Line clipping algorithm - cohen sutherland algorithm, Line Clipping Algorit...

Line Clipping Algorithm - Cohen Sutherland Algorithm Line is a series of endless number of points; here no two points contain space in among them. Hence, the above said inequa

BINARY, WHAT THAT S MEANS 0001

WHAT THAT S MEANS 0001

Explain advantages of rendering polygons by scan line method, What are the ...

What are the advantages of rendering polygons by scan line method?  i. The max and min values of the scan were simply found.  ii. The intersection of scan lines with edges i

Multimedia, Multimedia- It is a new aspect of literacy which is being recog...

Multimedia- It is a new aspect of literacy which is being recognized as technology expands the manner people communicate. The principle of literacy increasingly, is a measure of th

Alias wavefront - softwares for computer animation, Alias Wavefront - Softw...

Alias Wavefront - Softwares for Computer Animation Alias is one of the highest computer animation packages out there. Alias was formed by the company which used to be Alias, a

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