7. Object transformation problem:a. Write out the following 4x4 matrices and label each with the following names:TO: Translate along X-axis by 4 and along Y-axis by 3R: Rotate about the z-axis around the origin by 45 degreesT1: Translate along X-axis by -4 and along Y-axis by -3S: Scale along X-axis by a factor of 2 and along Y-axis by a factor of 4 (keep value alongthe Z-axis unchanged)b. Apply the transformation matrix TO to the point P=(7, 5, 7) to find the transformed pointQ by multiply it out.c. Apply the transformation matrix R to the point P=(7, 5, 7) to find the transformed point Qby multiply it out.d. Suppose two transformations are to be performed in the sequence, first scale an objectwith S, and then translate the object with TO. Show the combined effect of these twotransformations by multiplying out the two matrices. e. How to apply these transformations to the point P (7, 5, 7)? Write the matrix, matrix,point multiplication. Make sure the two matrices are multiplied to the point in the correctorder.

Answered: Write out the following 4x4 matrices…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Concept explainers

Question

7. Object transformation problem:
a. Write out the following 4x4 matrices and label each with the following names:
TO: Translate along X-axis by 4 and along Y-axis by 3
R: Rotate about the z-axis around the origin by 45 degrees
T1: Translate along X-axis by -4 and along Y-axis by -3
S: Scale along X-axis by a factor of 2 and along Y-axis by a factor of 4 (keep value along
the Z-axis unchanged)
b. Apply the transformation matrix TO to the point P=(7, 5, 7) to find the transformed point
Q by multiply it out.
c. Apply the transformation matrix R to the point P=(7, 5, 7) to find the transformed point Q
by multiply it out.
d. Suppose two transformations are to be performed in the sequence, first scale an object
with S, and then translate the object with TO. Show the combined effect of these two
transformations by multiplying out the two matrices.

e. How to apply these transformations to the point P (7, 5, 7)? Write the matrix, matrix,
point multiplication. Make sure the two matrices are multiplied to the point in the correct
order.

Expert Solution

Step 1: Introduction

As per our company guidelines, only three parts will be answered. So, please repost the remaining questions separately.

Object transformation in computer graphics is a change in the object's orientation, size and shape. It plays very good role in computer graphics by repositioning the graphics on the screen and changing their orientation or size.

Step by step

Solved in 3 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions