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

Question, what are the steps involved in 3d transformation explain

what are the steps involved in 3d transformation explain

Polygon representation methods - modeling and rendering, Polygon Representa...

Polygon Representation Methods - Modeling and Rendering Any scene to be created by computer graphics may include a variety of objects, a few of them natural and manmade. Hence

Silicon graphics - hardware for computer animation, Silicon Graphics - Hard...

Silicon Graphics - Hardware for computer animation The SGI platform is one of the most broadly used hardware platforms in professional or broadcast feature computer animation

Registers, explain the registers used in video controller

explain the registers used in video controller

Microcomputer applications, Calculate how many customers there are for each...

Calculate how many customers there are for each lawn size. Name this sheet

Photo and video were determined in the 19th century, Photo and Video were d...

Photo and Video were determined in the 19th century: In books Visuals as add on to texts. They enabled distance education. They developed learning where verbal description was n

Clip a line segment - cyrus beck line clipping algorithm, How does the Cyru...

How does the Cyrus Beck line clipping algorithm, clip a line segment whether the window is non convex? Solution : see the following figure 13, now the window is non-convex in s

Uniform b - spline curve, Uniform B - spline curve: When the spacing betwe...

Uniform B - spline curve: When the spacing between Knot values is constant, the resulting curve is called a uniform B- spline. Blending function for B- spline curves are defined b

Raster and random scan display technologies, Raster and Random Scan Display...

Raster and Random Scan Display Technologies For display or printing graphics objects, various technologies have been invented. Research and development is still on for getting

Implement cohen sutherland and liang barsky algorithm, Implement Cohen Suth...

Implement Cohen Sutherland and Liang Barsky line clipping algorithms in C-language.  Test your code for line segments with end points falling in various regions.

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