Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Manifold gradient problem

  1. Nov 13, 2007 #1
    Hi all:

    I have just met a problem. If say there is a triangle ijk on a manifold, D(i), D(j), D(k) are the geodesic distances from a far point to i,j,k respectively. Then g = [D(i) - D(k); D(j) - D(k)], what does g describe? Does is describe the gradient of the vertex k?

    If u = Vi-Vk, v = Vj-Vk where Vi, Vj, Vk are the coordinate vector in 3D, construct a matrix A = [u v], then let A = (A' * A) ^ (-1). Now A is a 2*2 matrix and what does A mean?

    Finally, let g = A * g, what's the meaning of this then?

    The context of this is in someone's programming code of computing the local gradient. Can someone help me please?

    Thanks
     
  2. jcsd
  3. Nov 13, 2007 #2
    Sorry the first post was failed.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Manifold gradient problem
  1. Notation of a manifold (Replies: 2)

  2. Gradient problem (Replies: 5)

  3. Stochastic gradient (Replies: 1)

  4. Manifold and metric (Replies: 4)

  5. Gradient conversions (Replies: 3)

Loading...