Show that the composition of two rotations is additive by concatenating the matrix
closed

rahuldb asked Nov 30, 2016 • closed Nov 30, 2016 by Prajwal Bhat

5,271 views

–7 votes

closed with the note: out of syllabus

Show that the composition of two rotations is additive by concatenating the matrix representations for R(theta 1) and R(theta 2)

to obtain

R(theta 1) x R(theta 2) = R(theta 1 + theta 2)

Computer Graphics
non-gate
computer-graphics

+ –

rahuldb asked Nov 30, 2016 • closed Nov 30, 2016 by Prajwal Bhat

rahuldb

5.3k views

See all

1 1 comment

Deepthi_ts

commented Dec 23, 2016

Using the trigonometric identities for the sine and cosine of the sum of two angles,
we can express the elements of the product matrix for two successive rotations in the xy
plane about the coordinate origin as

0 votes

Please log in or register to add a comment.

0 Answers

Voting & Accepting an answer helps improve the community

← Previous Next →

← Previous in category Next in category →

Related questions

1 votes

0 answers

rahuldb asked Nov 30, 2016

4,209 views

The reflection along the line y=x is equivalent to reflection along the X-axis followed by counter clockwise rotation

The reflection along the line y=x is equivalent to reflection along the X-axis followed by counter clockwise rotation by theta degrees.Find the value of theta

rahuldb

4.2k views

rahuldb asked Nov 30, 2016

Computer Graphics
non-gate
computer-graphics

+ –

0 votes

1 answer

go_editor asked Nov 20, 2020

1,671 views

UGC NET CSE | October 2020 | Part 2 | Question: 46
In the context of $3D$ Computer graphics, which of the following statements is/are correct? Under perspective projection, each set of parallel lines in the object do not stay parallel in the image (except those that are parallel to the viewplane to start with). Applying a ... $(iii)$ only $(ii)$ and $(iii)$ only $(i)$, $(ii)$ and $(iii)$

In the context of $3D$ Computer graphics, which of the following statements is/are correct?Under perspective projection, each set of parallel lines in the object do not s...

go_editor

1.7k views

go_editor asked Nov 20, 2020

Computer Graphics
ugcnetcse-oct2020-paper2
non-gate
computer-graphics

+ –

0 votes

0 answers

go_editor asked Nov 20, 2020

1,097 views

UGC NET CSE | October 2020 | Part 2 | Question: 47
Concerning phong shading and Gouraud shading in a $3\text{D}$ scene, which of the following statements are true? Gouraud shading requires more computation than phong shading Gouraud shading linearly interpolates the color of an interior pixel from the color at the vertices Phong ... $(iii)$ only $(ii)$ and $(iii)$ only $(i), (ii)$ and $(iii)$

Concerning phong shading and Gouraud shading in a $3\text{D}$ scene, which of the following statements are true?Gouraud shading requires more computation than phong shadi...

go_editor

1.1k views

go_editor asked Nov 20, 2020

Computer Graphics
ugcnetcse-oct2020-paper2
non-gate
computer-graphics

+ –

0 votes

1 answer

go_editor asked Nov 20, 2020

1,229 views

UGC NET CSE | October 2020 | Part 2 | Question: 66
Match $\text{List I}$ with $\text{List II}$. $\text{List I}$ gives $3 \times 3$ matrices representing $2D$ transformations and $\text{List II}$ shows the corresponding transformation diagrams. Choose the correct answer from the options given below: $A-IV, B-II, C-III, D-I$ $A-IV, B-III, C-II, D-I$ $A-III, B-II, C-IV, D-I$ $A-II, B-IV, C-III, D-I$

Match $\text{List I}$ with $\text{List II}$. $\text{List I}$ gives $3 \times 3$ matrices representing $2D$ transformations and $\text{List II}$ shows the corresponding tr...

go_editor

1.2k views

go_editor asked Nov 20, 2020

Computer Graphics
ugcnetcse-oct2020-paper2
non-gate
computer-graphics

+ –

tags	tag:apple
author	user:martin
title	title:apple
content	content:apple
exclude	-tag:apple
force match	+apple
views	views:100
score	score:10
answers	answers:2
is accepted	isaccepted:true
is closed	isclosed:true

1 1 comment reply

Please log in or register to add a comment.

0 Answers

Related questions

1 1 comment