Gaussian Mixture Models and Geodesics

[Sudharaka]

Hi everyone,

This is a question that one of my friends sent me. It is kind of open ended and I don't have any clue about the particular area of research he is undertaking. Therefore I am posting the question here with the hope that anybody knowledgable in this area would be able to help.

Question: This question is with regard to the following research paper.

http://research.microsoft.com/pubs/70262/tr-2006-10.pdf

My friend says, "I have understood the concept of Gaussian mixture models but I have trouble implementing the equations numerically. I also have no idea on the "Geodesic" boundary curve. "

 

[Klaas van Aarsen]

Hi everyone,

This is a question that one of my friends sent me. It is kind of open ended and I don't have any clue about the particular area of research he is undertaking. Therefore I am posting the question here with the hope that anybody knowledgable in this area would be able to help.

Question: This question is with regard to the following research paper.

http://research.microsoft.com/pubs/70262/tr-2006-10.pdf

My friend says, "I have understood the concept of Gaussian mixture models but I have trouble implementing the equations numerically. I also have no idea on the "Geodesic" boundary curve. "

Hey Sudharaka!

I do not understand what the question is.

Anyway, I can brainstorm a little seeing the type of research involved.
I can suggest taking a look at the so called Hough Transform. That should help to create numerical equations that assist in recognizing specific shapes.

 

[aragas]

Hi all,
I am actually the person Sudharaka is talking about
Brief background. I'm trying to implement this image segmentation method as a computer program. I have somewhat of a good knowledge in mathematics but not in areas such as Gaussian Mixture Models.

I have two questions.

1. What is a geodesic active contour mentioned in the paper? How does it defer from a normal contour?

2. How can I represent equations such as [15] & [17] (refer paper) in a computer program?

With regard to question 2, I know it's not much of a mathematics question but if anyone has implemented mathematical formulas involving probability distributions, logarithms and partial derivatives in a computer program, can he/she share the basic methodologies of doing so?

Thanks in advance! And thank you Sudharaka for posting this and introducing me to this forum

http://research.microsoft.com/pubs/70262/tr-2006-10.pdf