What is an Orientation Distribution Function (ODF) and what does it represent in diffusion-MRI?

Clash Royale CLAN TAG#URR8PPP

up vote
0
down vote

favorite

I am reading up on Diffusion MRI where there is discussion on Orientation Distribution Function (ODF), to represent the angular aspect of diffusion probability by a spherical ODF.

Can anyone please give me a basic introduction on Spherical Orientation Distribution Functions and its role in studying diffusion MRI.

reference-request spherical-harmonics

share|cite|improve this question

edited Jul 21 at 17:52

asked Jul 21 at 16:23

Umair Riaz

11

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
  – mathreadler
  Jul 21 at 17:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
  – Umair Riaz
  Jul 21 at 17:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
  – mathreadler
  Jul 21 at 18:08
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

I am reading up on Diffusion MRI where there is discussion on Orientation Distribution Function (ODF), to represent the angular aspect of diffusion probability by a spherical ODF.

Can anyone please give me a basic introduction on Spherical Orientation Distribution Functions and its role in studying diffusion MRI.

reference-request spherical-harmonics

share|cite|improve this question

edited Jul 21 at 17:52

asked Jul 21 at 16:23

Umair Riaz

11

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
  – mathreadler
  Jul 21 at 17:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
  – Umair Riaz
  Jul 21 at 17:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
  – mathreadler
  Jul 21 at 18:08
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

up vote
0
down vote

favorite

I am reading up on Diffusion MRI where there is discussion on Orientation Distribution Function (ODF), to represent the angular aspect of diffusion probability by a spherical ODF.

Can anyone please give me a basic introduction on Spherical Orientation Distribution Functions and its role in studying diffusion MRI.

reference-request spherical-harmonics

share|cite|improve this question

edited Jul 21 at 17:52

asked Jul 21 at 16:23

Umair Riaz

11

I am reading up on Diffusion MRI where there is discussion on Orientation Distribution Function (ODF), to represent the angular aspect of diffusion probability by a spherical ODF.

Can anyone please give me a basic introduction on Spherical Orientation Distribution Functions and its role in studying diffusion MRI.

reference-request spherical-harmonics

share|cite|improve this question

edited Jul 21 at 17:52

asked Jul 21 at 16:23

Umair Riaz

11

share|cite|improve this question

share|cite|improve this question

edited Jul 21 at 17:52

edited Jul 21 at 17:52

edited Jul 21 at 17:52

asked Jul 21 at 16:23

Umair Riaz

11

asked Jul 21 at 16:23

Umair Riaz

11

asked Jul 21 at 16:23

Umair Riaz

11

11

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
  – mathreadler
  Jul 21 at 17:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
  – Umair Riaz
  Jul 21 at 17:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
  – mathreadler
  Jul 21 at 18:08
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
  – mathreadler
  Jul 21 at 17:11
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
  – Umair Riaz
  Jul 21 at 17:51
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
  – mathreadler
  Jul 21 at 18:08
  

  
  
  
  

Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
– mathreadler
Jul 21 at 17:11

Don't you have some book or course literature to read about it? I think diffusion MRI would be maybe better fit for physics or signal processing sites. If you get any math questions about it then this site is probably good, like vector analysis or tensor calculations. As asked currently it seems more like a question where the answer would be a reference to a course or a textbook, but such answers are rarely suitable for a site like this unless you actually are looking for a reference to a textbook or a course. If that is the case then you can add "reference request" as a tag to the question.
– mathreadler
Jul 21 at 17:11

I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
– Umair Riaz
Jul 21 at 17:51

I have read the basics of MRI and Diffusion MRI from online video tutorials and articles and have grasped it well. However, to understand the underlining Signal processing and maths, I am reading a PhD thesis to quickly catch up on the most basic mathematical concepts. In the thesis, the writer has only briefly mentioned these functions and I wanted a basic explanation on them. Not a detailed derivation or explanation.
– Umair Riaz
Jul 21 at 17:51

You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
– mathreadler
Jul 21 at 18:08

You should not "quickly catch up on the basic concepts". You should learn them thoroughly. What a probability distribution function is is something you read about in a first probability course on bachelor level.
– mathreadler
Jul 21 at 18:08

add a comment | 

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',
convertImagesToLinks: true,
noModals: false,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
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

Name Email

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2858637%2fwhat-is-an-orientation-distribution-function-odf-and-what-does-it-represent-in%23new-answer', 'question_page');

);

Post as a guest

Name Email

active

oldest

votes

active

oldest

votes

active

oldest

votes

active

oldest

votes

 

draft saved

draft discarded

 

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

Name Email

StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2858637%2fwhat-is-an-orientation-distribution-function-odf-and-what-does-it-represent-in%23new-answer', 'question_page');

);

Post as a guest

Name Email

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

Name Email

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

Name Email

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

Name Email

Name Email

Name

Email

Name Email

Name

Email