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

Scripting systems- computer animation, Scripting Systems- Computer Animatio...

Scripting Systems- Computer Animation Scripting Systems are the earliest type of motion control systems. Scripting systems permit object specifications and animation sequenc

What is raster scan display, What is  Raster Scan Display A raster sca...

What is  Raster Scan Display A raster scan display device using CRT on the other hand directs the electron beam across the screen, one row at a time from top to bottom. In a ra

Identify design patterns, Mauri Ltd has just acquired a new stock manageme...

Mauri Ltd has just acquired a new stock management system and the source codes (PhP5) also have been delivered. The coding style is fully object-oriented. The company has been u

Explain any ten types of artistic filters, Question 1 Explain any ten type...

Question 1 Explain any ten types of artistic filters Question 2 What is Freehand Tool? Explain the procedure of drawing lines and curves with freehand tool Question 3 Ho

List out the merits and demerits of penetration methods, List out the merit...

List out the merits and demerits of Penetration methods?  The merits and demerits of the Penetration methods are as follows  It is a less expensive technique It has

Perform a x-direction shear transformation, 1. If you perform a x-direction...

1. If you perform a x-direction shear transformation and then a y-direction shear transformation, will the result be the same as the one which is obtained when it is simultaneous s

What is polygon mesh, What is Polygon mesh?  Polygon mesh is a method t...

What is Polygon mesh?  Polygon mesh is a method to show the polygon, when the object surfaces are tiled, it is more convenient to state the surface facets with a mesh function.

Polygon clipping - raster graphics and clipping, Polygon Clipping - Raster ...

Polygon Clipping - Raster Graphics and Clipping After considerate the idea of line clipping and its algorithms, we can currently extend the idea of line clipping to polygon cl

Enumerate the use of data goggles- virtual reality, Enumerate the use of Da...

Enumerate the use of Data goggles- Virtual Reality Data goggles/helmets - These use optical systems and display screens which send 3D images to the eyes. Motion sensors mea

Real time clock -rtc, Main objectives: To test to micro-controller I...

Main objectives: To test to micro-controller I2C protocol bus functionality Setting and displaying accurate time and date on the LCD GENERAL DESCRIPTION The D

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