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I haven't been blogging for a good ten days. I have missed you guys, too. Life's been good, I can't complain.
Today, we had the first reading group meeting on variational methods in computer vision. Dana, a post doc of our lab, gave an intro to the field and highlighted the differences between snakes (active contour models) and geodesic active contours. I guess next time, Neil and Martin would present some other related ideas. I liked her presentation; it gave me more insight and it was a good idea to read the paper before the meething. I probably need to read the paper again. She seems to be more concerned about the numerical solutions to the Partial Differential Equations, but I want to know more about its math formulations. She didn't spend too much time on the theorem proofs. I want to know what the authors (see reference below) mean by the Riemannian space and I want to know more than the definition of a Riemannian space. I want to have a deeper insight to how they arrived at the idea of geodesic active contours.
Reference: Caselles, Kimmel, and Sapiro, "Geodesic Active Contours," IJCV 1997.
Today, we had the first reading group meeting on variational methods in computer vision. Dana, a post doc of our lab, gave an intro to the field and highlighted the differences between snakes (active contour models) and geodesic active contours. I guess next time, Neil and Martin would present some other related ideas. I liked her presentation; it gave me more insight and it was a good idea to read the paper before the meething. I probably need to read the paper again. She seems to be more concerned about the numerical solutions to the Partial Differential Equations, but I want to know more about its math formulations. She didn't spend too much time on the theorem proofs. I want to know what the authors (see reference below) mean by the Riemannian space and I want to know more than the definition of a Riemannian space. I want to have a deeper insight to how they arrived at the idea of geodesic active contours.
Reference: Caselles, Kimmel, and Sapiro, "Geodesic Active Contours," IJCV 1997.
posted by Azad at
7:06 PM
7 Comments:
Baradar Azad,
mokhlesim,
How is life? How is everything? Is the sky still blue? Oh, and how about your pyjamas, are they still white with blue strips?
Just wanted to say : mard e hesabi, ina chie migi?
By
Farid, At
8/08/2006 10:49 PM
Samnaleykom,
ditto....
khoobi to? ina chiyeh migi?
By
Anonymous, At
8/10/2006 5:23 AM
Balayi ro Aydin nevesht raasti.
By
Anonymous, At
8/10/2006 5:24 AM
i donno ... someday, I may find it out ... but i donno for now.
By
Azad, At
8/10/2006 6:14 AM
Hi! (:
I am not the best person to tell you about Riemannian geometry (at least, right now!). However, I think you may want to start by checking books on differential geometry to see from where Riemannian geometry arises.
Suppose you define a smooth manifold and name it M. Now, we can define a vector space for each point on the manifold by linearizing that manifold around that point. In other words, this space is tangent to the manifold at that point. We call this space as the tangent space of manifold.
Now, if we define an inner product on this tangent space of the manifold, we have a Riemannian metric on the manifold and the manifold is a Riemannian manifold.
I guess we can consider it as a generalization of Euclidean space R^n. R^n can be considered as a manifold with some kind of tangent space (which is R^n again).
By
Anonymous, At
8/13/2006 3:10 AM
Thanks Solo!
By
Azad, At
8/15/2006 10:41 AM
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By
Anonymous, At
11/18/2012 8:18 AM
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