Finding quaternion $q_x$ in the following equation: $q_x q_1 q_x' = q_2$
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
add a comment |
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
0
0
0
0
$begingroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
$endgroup$
Given that $q_1$ and $q_2$ are known quaternions.
quaternions
quaternions
edited Jan 25 at 21:39
Adrian Keister
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
edited Jan 25 at 21:39
Adrian Keister
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
edited Jan 25 at 21:39
Adrian Keister
5,27371933
edited Jan 25 at 21:39
Adrian Keister
5,27371933
edited Jan 25 at 21:39
Adrian Keister
5,27371933
5,27371933
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
asked Jan 25 at 21:20
Övünç TüzelÖvünç Tüzel
163
163
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
1
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3087633%2ffinding-quaternion-q-x-in-the-following-equation-q-x-q-1-q-x-q-2%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
draft saved
draft discarded
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
draft saved
draft discarded
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3087633%2ffinding-quaternion-q-x-in-the-following-equation-q-x-q-1-q-x-q-2%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
$begingroup$
It looks like you're trying to find the quaternion that performs a particular spatial rotation. Is that correct?
$endgroup$
– Adrian Keister
Jan 25 at 21:38
$begingroup$
The rotation about unit vector $u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}$ through an angle $theta$ corresponds to the quaternion $mathbf{q}=cos(theta/2)+(u_xmathbf{i}+u_ymathbf{j}+u_zmathbf{k}),sin(theta/2)$.
$endgroup$
– Adrian Keister
Jan 25 at 21:42
$begingroup$
I'd like to find a quaternion that rotates q1 so it matches q2. The actual problem I was trying to solve is in this thread: math.stackexchange.com/questions/3087370/…
$endgroup$
– Övünç Tüzel
Jan 25 at 23:35
2
$begingroup$
Possible duplicate of Finding the Quaternion that rotates a coordinate system to match another. You didn't really have to make a new contextless question.
$endgroup$
– rschwieb
Jan 26 at 13:50