Solution

Concept:

Transformation refers to the mathematical operations or rules that are applied to a graphical image consisting of the number of lines, circles, and ellipses to change its size, shape, or orientation. It can also reposition the image on the screen. Transformations play a very crucial role in computer graphics.

Types of Transformations:

There are various types of transformations in computer graphics through which an image can be processed, edited ad altered. Some basic and most commonly used types of these transformations are

• Translation
• Rotation
• Scaling
• Reflection
• Shearing

A transformation that slants the shape of an object is called the Shear Transformation. There are two shear transformations X-Shear and Y-Shear. One shifts the X coordinate values and the other shifts the Y coordinate values. However, in both cases, only one coordinate changes its coordinates and the other preserves its values. Shearing is also termed Skewing.

In a three-dimensional plane, the object size can be changed along the X direction, Y direction as well as Z direction.So, there are three versions of shearing.

They are

1)Shearing in x-axis

2) shearing in y-axis

3) shearing in z-axis

\(\left[\begin{array}{l}\rm\bar{x} \\\rm \bar{y} \\ \rm\bar{z} \\\rm\bar{w}\end{array}\right]=\left[\begin{array}{llll}\rm a_1 & \rm b_1 & \rm c_1 & \rm d_1 \\ \rm a_2 & \rm b_2 & \rm c_2 & \rm d_2 \\ \rm a_3 & \rm b_3 & \rm c_3 & \rm d_3 \\ \rm e & \rm f & \rm g & \rm h \end{array}\right]\left[\begin{array}{c} \rm x \\ \rm y \\ \rm z \\ 1 \end{array}\right]\) is called Shear Transformation.

The Correct Answer is option 2.