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

Differences, difference between vecgen and breshnam algorithm

difference between vecgen and breshnam algorithm

Light pen - input and output devices, Light Pen - input and output devices ...

Light Pen - input and output devices It is a pointing device. This has a light sensitive tip that is excited while the light is emitted and an illuminated point upon the disp

3dstudio - softwares for computer animation, 3Dstudio - Softwares for compu...

3Dstudio - Softwares for computer animation 3DStudio is a 3-D computer graphics programmed. 3DStudio runs on personal computers. This is relatively simple to use. Several schoo

Liquid crystal display - graphics hardware, Liquid Crystal Display - Graphi...

Liquid Crystal Display - Graphics Hardware It is a type of display utilized in digital watches and several portable computers. These work along with polarized ambient as outsi

Physics - based modeling, Draw the five regular polyhedras using physics-ba...

Draw the five regular polyhedras using physics-based modeling method. Implement a fractal algorithm with possible personal extensions. Also, specify the extensions.

Role of computer graphics in education and training, Question: Explain how ...

Question: Explain how computer graphics would play a useful role in education and training. Answer: Computer graphics has occupied an important role in education and training.

PHONG INTERPOLATION, DESCRIBE PHONG INTERPOLATION SHADING METHOD

DESCRIBE PHONG INTERPOLATION SHADING METHOD

Panning and zooning, what is zooming and panning in computer graph please e...

what is zooming and panning in computer graph please explan??

Interactive Computer Graphics, Explain the different input modes used in in...

Explain the different input modes used in interactive computer graphics.

Sound editing programs, Sound Editing Programs; Sound editing tools for bo...

Sound Editing Programs; Sound editing tools for both digitized and MIDI sound; by that you see music and also hear it. Through drawing a representation of a sound in fine growths,

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