Talk:Horn–Schunck method

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The original Horn & Shunck method was described in 2 dimensions only (x and y). I think its easier for the reader to imagine the whole thing with just two dimensions (plus time). --Oxygene123 16:08, 31 January 2006 (UTC)

I totally agree, I was very confused, when I read this article...and I am still.

I second that. Three dimensional (or four-dimensional!) "images" are somewhat non-intuitive to the general reader. Any other opinions?65.183.135.231 (talk) 03:23, 5 May 2008 (UTC)

I believe there is an error in the equations, the Laplace operator should be $\Delta V_{x}={\frac {\partial }{\partial x}}{\frac {\partial V_{x}}{\partial x}}+{\frac {\partial }{\partial y}}{\frac {\partial V_{x}}{\partial y}}+{\frac {\partial }{\partial z}}{\frac {\partial V_{x}}{\partial z}}$ and analogously for y and z. Also the so claimed Gauss-Seidel formulae seem wrong, as there will be division by zero wherever the derivative is zero.

In the iterative equations given, (certainly for the Gauss-Seidel method) shouldn't the newly computed values be used immediately? Pog (talk) 10:00, 21 November 2007 (UTC)

In addition to the points mentioned above: - Nomenclature is really messy. $I_{x}$ denotes a partial differentiation while $V_{x}$ is supposed to be the first component of V. I'd prefer sticking to the variables used by Horn & Schunck. - Gauss-Seidel could be applied, but after replacing the Laplacian. This way there would be no division by zero. - The second set of equations is obtained by simply solving for u and v. I don't see the point in mentioning the Jacobi method, even though this could qualify as a trivial case of the Jacobi method. (85.216.75.129 (talk) 17:29, 23 June 2008 (UTC)).

References

Original paper

This may be a better URL for the paper http://dspace.mit.edu/handle/1721.1/6337, as it is from the same institution as the authors (MIT), and includes useful metadata and a copyright statement. The article uses a URL to a personal webpage with a scan of doubtful copyright status. — DIV (138.194.12.32 (talk) 08:03, 10 August 2010 (UTC))