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

Interpolation of surface - polygon rendering, Interpolation of surface - Po...

Interpolation of surface - Polygon Rendering Interpolation of surface normals beside the polygonedge between two vertices is demonstrated above in the figure 15. Here the norm

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

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

Cohen sutherland, explain cohen sutherland line clipping algorithm

explain cohen sutherland line clipping algorithm

Opengl, Write a program that allows interactive manipulation of the positio...

Write a program that allows interactive manipulation of the position and orientation of a camera. Draw a teapot at the global origin 0,0,0. You can find a shaded teapot model and

Write short notes on active and passive transformations, Write short notes ...

Write short notes on active and passive transformations?  In the active transformation the points x and x| show different coordinates of the similar coordinate system. Here all

Animation, name some of the standard motion in key frames

name some of the standard motion in key frames

Find the normalization transformation, Illustration: Find the normalizatio...

Illustration: Find the normalization transformation N that uses the rectangle W (1, 1), X (5, 3), Y (4, 5) and Z (0, 3) as a window and also the normalized device screen like the

Ellipse generating algorithm, Ellipse generating algorithm: Algorithm ...

Ellipse generating algorithm: Algorithm is similar to circle algorithm. We divide the ellipse on the positive quadrant into two regions. Region 1 where the slope > -1, and Reg

Scan line polygon fill and seed fill or flood fill algorithm, 1.   Distingu...

1.   Distinguish among Scan line polygon fill and Seed fill or Flood fill algorithm? Scan Line Polygon Flood Fill Algorithms ?1. This

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