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

Scan-line method, In contrast to depth-buffer method, here we identify one ...

In contrast to depth-buffer method, here we identify one surface at one time, scan-line method deals along with multiple surfaces. Since it processes each scan-line at one time, al

Ray tracing algorithm, Ray Tracing:  Ray t racing is the technique to dete...

Ray Tracing:  Ray t racing is the technique to determine which objects in the scene are visible.  In this to identify the visible surface for each pixel we continue to bounce the

Dda program to plot line segments, Use DDA algorithm to get the output of y...

Use DDA algorithm to get the output of your program as shown in Figure ANs: Use DDA( ) function to plot line segments that have end points on diametrically opposite points

Representation schemes used in three dimensional object, What are the vario...

What are the various representation schemes used in three dimensional objects?  Boundary representation (B-res) - explain the 3 dimensional objects as a set of surfaces that se

Sutherland cohen line clipping algorithm, Describe briefly Sutherland Cohen...

Describe briefly Sutherland Cohen line clipping algorithm.   OR   Describe Cohen Sutherland line clipping algorithm. Cohen Sutherland line clipping algorithm In this algorith

Deffrent, deffrent between vecgen algorithm and bresenham line algorithm in...

deffrent between vecgen algorithm and bresenham line algorithm in computer graphic

What is resolution, What is resolution? Ans. The maximum number of poin...

What is resolution? Ans. The maximum number of points that can be shown without an overlap on a CRT is known as resolution.

Compression methods utilized for digital video, Compression methods utilize...

Compression methods utilized for digital video can be categorized in three major groups: General reason compression techniques can be utilized for any type of data. Intr

Multimedia business, Multimedia Business: Even fundamental office app...

Multimedia Business: Even fundamental office applications as a MS word processing package or a MS Excel spreadsheet tool turns into a powerful tool along with the aid of mult

Computer science, what do you means by bresenham s him algorithm

what do you means by bresenham s him algorithm

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