Timeline for Euler-Lagrange, Gradient Descent, Heat Equation and Image Denoising
Current License: CC BY-SA 2.5
13 events
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Jul 18, 2011 at 13:18 | answer | added | Mark Peletier | timeline score: 4 | |
Apr 2, 2011 at 9:00 | vote | accept | user23534523 | ||
Apr 2, 2011 at 8:47 | history | edited | user23534523 | CC BY-SA 2.5 |
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Apr 2, 2011 at 7:43 | comment | added | user23534523 | I am trying to work my way up to ROF paper :) I wanted to understand the simplest case first, then do ROF -- this gradient descent connection was my first hurdle. I have some sample ROF Matlab code, I think my questions there will be about the use of Lagrange multipliers, and their discretization method. | |
Apr 2, 2011 at 7:31 | history | edited | user23534523 | CC BY-SA 2.5 |
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Apr 2, 2011 at 7:29 | comment | added | user23534523 | this is not a homework problem no, it's for my own learning. | |
Apr 2, 2011 at 2:08 | comment | added | dranxo | Also, state of the art ROF minimization isn't too hard to implement. cf ftp.math.ucla.edu/pub/camreport/cam08-29.pdf if you go to the authors website you can download code for it. | |
Apr 2, 2011 at 1:30 | comment | added | Brian Borchers | I have to agree that reading and understanding the ROF paper is a good idea here- that paper is a very widely cited and important source and it includes some more sophisticated ideas than the ones in the first paper that you linked to. | |
Apr 1, 2011 at 23:11 | comment | added | dranxo | Oh ok I see you've already linked the ROF paper. Did you read it? | |
Apr 1, 2011 at 23:08 | comment | added | dranxo | They got published for this in 2010?! Look at Lena's feather hat and the castle image in the results. Denoising by solving the heat equation worsens the image by blurring the edges. There are thousands of papers on how to fix this (cf en.wikipedia.org/wiki/Total_variation_denoising, dx.doi.org/10.1016/0167-2789(92)90242-F and ipol.im/pub/algo/bcm_non_local_means_denoising for a start). Is this a homework problem? | |
Apr 1, 2011 at 14:26 | answer | added | Brian Borchers | timeline score: 2 | |
Apr 1, 2011 at 14:17 | history | edited | user23534523 |
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Apr 1, 2011 at 14:01 | history | asked | user23534523 | CC BY-SA 2.5 |