Transformation for 3-d shearing, Computer Graphics

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.

Posted Date: 4/3/2013 6:12:50 AM | Location : United States







Related Discussions:- Transformation for 3-d shearing, Assignment Help, Ask Question on Transformation for 3-d shearing, Get Answer, Expert's Help, Transformation for 3-d shearing Discussions

Write discussion on Transformation for 3-d shearing
Your posts are moderated
Related Questions
Random Scan Display Device The original cathode ray tube, developed in the late fifties and early sixties, produced charts and pictures, line through line on the tube surface

Determine the transformation matrix for the reflection, Computer Graphics

Web Design and Editing To edit and make a website, the big three softwares are use: 1)   DreamWeaver (MacroMedia) 2)   Frontpage (MicroSoft) 3)   Go Live (Adobe) 4)

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

crt is an analog or digital device

Question : (a) List and describe important aspects to take into consideration when looking at paper for print. (b) Describe clearly the meaning of the following words: I.


Read the next page and work through the steps: a.  Select a location (anywhere in the world) and research the typical weather (temperature, barometric pressure, and humidity).

What are the various representation schemes used in three dimensional objects?  Boundary representation (B-res) - explain the 3 dimensional objects as a set of surfaces that se

3-D Modeling and Animation Tools: By 3-D modeling software, objects rendered in perspective show more realistic. One can produce stunning scenes and wander by them, choosing just