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

Drawing program with object- oriented design, For this assignment, you will...

For this assignment, you will add to the drawing program new features that are similar to features that you already have. Apply object-oriented design concepts such as inheritance

Types of graphic images, Types of Graphic Images: Graphic images have...

Types of Graphic Images: Graphic images have been processed through a computer can generally be divided in two distinct categories. That image is either bitmap files or vecto

Use the midpoint circle algorithm to get the output, Figure uses three dash...

Figure uses three dashed arcs and one small circle. Dashed line or arc is a style attribute that can be attached with a line or a curve. In OpenGL you can use the line stipple func

Frame animation non- interactive animation rectangular shape, Frame animati...

Frame animation non- interactive animation rectangular shape (Cartoon movies) It is an "internal" animation method, which is, it is animation within a rectangular frame. This i

Do we have need of to generate full circumference of circle, 1.   Do we hav...

1.   Do we have need of to generate the full circumference of the circle utilizing the algorithm or  can we can produces it in a quadrant or octant only and after that utilization

Image precision, what is image precision in computer graphics

what is image precision in computer graphics

What is aspect ratio, What is Aspect ratio?  The ratio of vertical poin...

What is Aspect ratio?  The ratio of vertical points to the horizontal points essential to produce length of lines in both directions of the screen is known as the Aspect ratio.

Difference, difference between vecgen algoritham and bresenham''s algori

difference between vecgen algoritham and bresenham''s algori

Exam, do you remember how you to work the computer graphics

do you remember how you to work the computer graphics

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