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

Visible surface detection - modeling and rendering , Visible Surface Detect...

Visible Surface Detection - Modeling and Rendering Provided a set of 3-Dimentional objects and a viewing position for the generation of realistic graphics show, we want to de

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

Normalization transformation, what is normalization transformation?why is i...

what is normalization transformation?why is it needed and important?give simple example also.

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

Construction of an isometric projection - transformation, Construction of a...

Construction of an Isometric Projection - Transformation In this projection, the direction of projection i.e. d = (d 1 ,d 2 ,d 3 ) makes an identical angles with all the 3-pr

Picture construction technique, what is picture construction technique?expl...

what is picture construction technique?explain its various technique?

Explain about unified memory architecture, Q. Explain about Unified Memory ...

Q. Explain about Unified Memory Architecture? UMA signifies Unified Memory Architecture. It is an architecture that reduces the cost of PC construction.  In this a part of main

Advantages of computer aided design, Advantages of Computer aided design  ...

Advantages of Computer aided design  -   It is simpler to modify drawings  -   A library of parts can be kept  -   Ability to do automatic costings -   Ability to mod

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