Transformation for 3-d shearing, Computer Graphics

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.

Posted Date: 4/3/2013 6:12:50 AM | Location : United States







Related Discussions:- Transformation for 3-d shearing, Assignment Help, Ask Question on Transformation for 3-d shearing, Get Answer, Expert's Help, Transformation for 3-d shearing Discussions

Write discussion on Transformation for 3-d shearing
Your posts are moderated
Related Questions
Axis of Rotation - Construction of a solid with a translational sweep Figure:  (a)                                                                          Figure  (b)



The subsequent are also considered graphics applications as: • Paint Programs: Permit you to create rough freehand drawings. The images are saved as bit maps and can simply be

Proof of subsequent properties of Bezier curves Note: Proof of subsequent properties of Bezier curves is left as a work out for the students P' (0) = n (p 1 - p 0 ) P

To find out average unit normal vector at each polygon vertex At each polygon vertex as demonstrated by point V in the figure above, the normal vector is acquired by averaging

1. Implement the boundary fill algorithm and flood fill algorithm in C-language and use your code to fill two different types of closed areas such as  i)  A Circle ii)  A sel

Question 1: (a)Using your awareness of typography and design, make a new logo manually for one of the following. The logo should compulsorily consist of the name and may or may

Parameterized Systems - Computer Animation Parameterized Systems is the systems which permit objects motion features to be given as part of the object descriptions. The adjus

Question 1 What is Packet-switching network? Discuss its basic operation Question 2 Briefly describe Jackson's theorem Question 3 List and explain the two popular