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

Panning and zooming a component, Panning and zooming Components (such as yo...

Panning and zooming Components (such as your Polybounce or Animation) is simply a matter of reFrameing the world window. To pan right or left horizontally, one shifts it in the pos

Cases for subdivisions of polygon-visible surface detection, Cases for Subd...

Cases for Subdivisions of Polygon No additional subdivisions of a particular area are desired, if one of the subsequent conditions is true as: Case 1: All the polygons ar

Essential elements for the raster scan display, Essential Elements for the ...

Essential Elements for the Raster Scan Display Three elements are essential for the raster scan display. They are as: 1) The Frame Buffer that is also termed as the Refresh

Multimedia-applications for computer animation, Multimedia: it is the use ...

Multimedia: it is the use of different media to present a specific subject. This representation itself is a multimedia presentation implies; it brings together text and graphics.

Common principles of ray tracing, Common Principles of Ray Tracing Bas...

Common Principles of Ray Tracing Based upon the nature or attributes of the surface given by the user, the subsequent effects are implemented, as per to rules of optics:  a

Define random scan and raster scan displays, Define Random Scan/Raster Scan...

Define Random Scan/Raster Scan displays. Ans. Random scan is a process in which the display is made by the electronic beam, which is directed, only to the points or division of

Flash - software to generate computer animations, Flash - software to gener...

Flash - software to generate computer animations Flash: Learning Macro-Media's Flash can quite complicated, although you can do almost anything along with it. You can devel

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

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