Transformation for 3-d shearing, Computer Graphics

Assignment Help:

Transformation for 3-D Shearing

2-dimensional xy-shearing transformation, as explained in equation, can also be simply extended to 3-dimensional case. All coordinates are translated as a function of displacements of another two coordinates, which is,

Shxyz=      x'=x+a.y+b.z

                 y'=y+c.x+d.z                      

                 z'=z+e.x+f.y

Here a,b,c,d,e and f are the shearing factors in the respective directions. Equation (46) in terms of homogeneous HC system, is:

575_Transformation for 3-D Shearing.png

That is, P'h = Ph.Shxyz

Here remember that the off-diagonal terms in the upper left 3x3 sub-matrix of the generalized 4x4 transformation matrix in equation produce shear in 3-dimensions.


Related Discussions:- Transformation for 3-d shearing

What is resolution, What is resolution? Ans. The maximum number of poin...

What is resolution? Ans. The maximum number of points that can be shown without an overlap on a CRT is known as resolution.

Image precision, what is image precision in computer graphics

what is image precision in computer graphics

Mathematics-applications for computer animation, Mathematics: There are so...

Mathematics: There are some area like Probability, combination, permutation, etc.,that can be well explained along with the help of animation, that helps in enhancing the learning

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

General perspective transformation, General Perspective transformation w.r....

General Perspective transformation w.r.t. an arbitrary center of projection Suppose here that the COP is at C(a,b,c), as demonstrated in Figure. By Figure, the vectors CP

Image space -approaches for visible surface determination, Image Space Appr...

Image Space Approach -Approaches for visible surface determination The initial approach as image-space, determines that of n objects in the scene is visible at every pixel in

Passive computer animations - types of computer animation, Passive Computer...

Passive Computer Animations: That has no option for users to utilize computer graphics today is mostly interactive for example: movies. Frame animation is non-interactive anim

Midpoint circle generation algorithm, Midpoint circle generation algorithm ...

Midpoint circle generation algorithm This makes use of a circle function. Based on this circle function, a decision parameter is created which is used to decide successive pixe

Explain the working of animators, Explain the working of Animators Anim...

Explain the working of Animators Animators want to create a human image that moves and interacts with its background in such a way that viewers can't tell if a specific scene i

Gui and graphics, Newspapers exchange news by using news agencies (such as ...

Newspapers exchange news by using news agencies (such as Reuters and ITARTASS). A newspaper registers at a news agency and sends all its news to the agency. The news agency collect

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