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

Define pixel and frame buffer, Define pixel and frame buffer? Pixel is ...

Define pixel and frame buffer? Pixel is shortened forms of picture element. Every screen point is referred to as pixel or pel.  Picture definition is kept in a memory area c

What is raster scan display, What is  Raster Scan Display A raster sca...

What is  Raster Scan Display A raster scan display device using CRT on the other hand directs the electron beam across the screen, one row at a time from top to bottom. In a ra

Audio and video, AUDIO AND VIDEO: Audio and video are working as eye and e...

AUDIO AND VIDEO: Audio and video are working as eye and ear of multimedia. Both of them are heavily contributing to any type of multimedia application. Here we discuss something r

Transformation, Explain window to view port transformation

Explain window to view port transformation

Animated gif, Animated GIF: For combining various GIF images in a particul...

Animated GIF: For combining various GIF images in a particular file to create animation, GIF file format is used. There are several drawbacks to such functionality. The form

Anti aliasing - modeling and rendering, Anti Aliasing - Modeling and Render...

Anti Aliasing - Modeling and Rendering It is a method for enhancing the realism of an image through eliminating the jagged edges from it. Such jagged edges or "jaggies", appe

Applications for computer animation, Applications For Computer Animation ...

Applications For Computer Animation These days, animation influences approximately every aspect of life right from entertainment to education and to security and lots of more a

Isosurface, Given arbitrary 8 values at the vertices of a cube, please draw...

Given arbitrary 8 values at the vertices of a cube, please draw the curved iso-surfaces with shading. Also, please draw the saddle point. This can be done relatively easy with phys

Education training process, Education training process falls into three gen...

Education training process falls into three general categories: 1) Instructor Support Products: These are used through teachers additionally to text books, lectures and other

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