Consider the matrix = representing a set of planar (2D) geometric transformations in homogeneous coordinates. Which of the following statements about the matrix M is True ?

Question

Question

Download Solution PDF

Consider the matrix = representing a set of planar (2D) geometric transformations in homogeneous coordinates. Which of the following statements about the matrix M is True ?

This question was previously asked in

UGC NET Computer Science (Paper 2) July 2018 Paper

Attempt in App

View all UGC NET Papers >

M represents first, a scaling of vector (2, 1) followed by translation of vector (1, 1)
M represents first, a translation of vector (1, 1) followed by scaling of vector (2, 1)
M represents first, a scaling of vector (3, 1) followed by shearing of parameters (−1, 1)
M represents first, a shearing of parameters (−1, 1) followed by scaling of vector (3, 1)

Answer 1

Concept:

Scaling:

In this, the size of an object is increased or decreased by changing the dimension. Representation of the scaling matrix is:

Translation:

It moves an object from its original position to a new position by adding a translation factor with the original coordinates. It does not change the size. Translation matrix is represented as :

Explanation:

Given scalar matrix

Translation matrix will be:

If we do, first translation of (1,1), then scaling of a vector (2,1), then we get the original matrix. So, multiply scalar matrix with translation matrix of the specified vector and finally, we get the matrix M.

Download Solution PDF

Question

Consider the matrix = representing a set of planar (2D) geometric transformations in homogeneous coordinates. Which of the following statements about the matrix M is True ?

Answer (Detailed Solution Below)

Detailed Solution

More Two Dimensional Geometric Transformation Questions

More Computer Graphics Questions