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

Magnify a triangle with vertices, Magnify a triangle with vertices A = (1,1...

Magnify a triangle with vertices A = (1,1), B = (3,1) and C = (2,2) to twice its size in such a way that A remains in its original position.  Answer: You need to apply scaling b

Transformation, determine the form of the transformation matrix for a refle...

determine the form of the transformation matrix for a reflection about an arbitrary line with equation y=mx+b.

Animator studio and elastic reality - computer animation, Animator Studio a...

Animator Studio and Elastic Reality - Computer Animation Animator Studio It is a cell animation program from AutoDesk. Its predecessor was Animator Pro for PC DOS. Anima

Categories of line segments - 2d clipping algorithms, Categories of Line Se...

Categories of Line Segments It categorizes line segments into three categories (i) trivially rejected (ii) trivially selected (iii) may be partially visible or totally invisibl

Distinguish between mono and stereo sound, Problem: (a) Distinguish be...

Problem: (a) Distinguish between mono and stereo sound? (b) Calculate the size of a 5 minutes mono sound file of CD quality and with a 16 -bit rate. (c) With reference

Discuss the overview of multimedia networks, Question 1 Discuss the overvi...

Question 1 Discuss the overview of multimedia networks Question 2 Discuss the types of synchronization in multimedia system >> Basic synchronization issues Content R

Finding where the ball hits a segment, You will write a two-dimensional pre...

You will write a two-dimensional precursor of the three-dimensional bouncing ball simulation that is one of your choices for a ?nal project. This involves adding functions to your

Orientation dependence - modeling and rendering, Orientation Dependence - M...

Orientation Dependence - Modeling and Rendering The outcomes of interpolated-shading models are dependent of the projected polygon's orientation. Because values are interpolat

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