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

Explain the working of animators, Explain the working of Animators Anim...

Explain the working of Animators Animators want to create a human image that moves and interacts with its background in such a way that viewers can't tell if a specific scene i

Program to implement procedures or functions, The goal of this assignment i...

The goal of this assignment is to implement procedures/functions using x86 assembly. In addition to implementing procedures/functions, this assignment requires to pass arguments us

Lamberts cosine law - diffuse reflection, Lamberts Cosine Law - Diffuse Ref...

Lamberts Cosine Law - Diffuse Reflection "LAMBERTS COSINE LAW" specify that the radiant energy from any minute surface area dA in any direction θ relative to the surface usual

Archeology-applications for computer animation, Archeology: along with the...

Archeology: along with the advent of the computer, the archeologist has obtained a new tool, computer animation. An object-model can be made comparatively quick and without any we

Interlaced gif, Interlaced GIF: The conventional which is non-interlaced G...

Interlaced GIF: The conventional which is non-interlaced GIF graphic downloads one line of pixels at one time from top to bottom and browsers display all lines of the image as it

Concept for eliminating hidden lines, Concept for Eliminating Hidden Lines,...

Concept for Eliminating Hidden Lines, Surfaces or Edges To exemplify the concept for eliminating hidden-lines, surfaces or edges, see a classic wire frame model of a cube as i

Input and hardcopy devices - 2d shape primitives, Input and Hardcopy Device...

Input and Hardcopy Devices  This section gives a brief introduction to the functioning of some well known input and hardcopy devices. Input devices include keyboard, mouse, sca

Interchange file format, IFF: It is Amiga Interchange File Format which is...

IFF: It is Amiga Interchange File Format which is used to transfer documents to and from Commodore Amiga Computers. This format is really flexible and permits images and text to b

Properties of perspective projections - transformation, Properties of Persp...

Properties of Perspective projections - Transformation 1) Faraway objects seem smaller. 2) Straight lines are projected to straight lines. 3) Let line 1 and 2 is two s

., Define the working procedure of CRT with diagram

Define the working procedure of CRT with diagram

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