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

Text generation and character generation techniques, Write short notes on T...

Write short notes on Text generation.   OR Character Generation Techniques  Character Generation Techniques   Two different representations are used for storing computer fon

Forensics-applications for computer animation, Forensics: Accidents occur ...

Forensics: Accidents occur every minute. Very frequently, there are no witnesses except for the individuals concerned in the accident or worse yet, there are no surviving witnesse

Key frame systems, Ask questionkms eey frame syst #Minimum 100 words accept...

Ask questionkms eey frame syst #Minimum 100 words accepted#

Simple graphical user interface, The RIA should consist of: i) A simple ...

The RIA should consist of: i) A simple Graphical User Interface (GUI) constructed from a simple navigation system (comprising of around 5 key frames) making use of the Flash tim

Determine how many key frames does one minute animation film, How many key ...

How many key frames does one minute animation film order along with no duplications need if there are five in among for each pair of key frames?   Solution : One minute = 60 sec

Matrix for orthographic projection, Matrix for Orthographic Projection ...

Matrix for Orthographic Projection Orthographic projections are projections into one of the coordinate planes x=0, y=0or z=0. The matrix for orthographic projection on the z=0

Transformation, Explain window to view port transformation

Explain window to view port transformation

Operation reseach, #question. Steps involved in the solution of operation r...

#question. Steps involved in the solution of operation research problem

Method to draw an object by using four bézier curves, Suggest a method to d...

Suggest a method to draw an object as in figure using four Bézier curves of suitable degree Answer: Employ four quartic Bézier curves with the endpoint of one as the initial poi

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