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Re: Reconstruct surface from gradient field? [message #87557 is a reply to message #87556]

Fri, 14 February 2014 17:26

Craig Markwardt
Messages: 1869
Registered: November 1996

Senior Member

On Friday, February 14, 2014 8:22:46 PM UTC-5, Craig Markwardt wrote:
> On Thursday, February 13, 2014 5:24:22 PM UTC-5, David Grier wrote:

> There might be some heuristic way to iterate towards the solution, I'm not sure. Poisson's equation has a nice solution like that, but you don't have a Poisson's equation unless you take a (even more noisy) derivative of your measured data.

This page might have some interesting ideas.
http://dsp.stackexchange.com/questions/2859/how-do-i-numeric ally-calculate-a-function-from-its-noisy-gradient

... especially the Frankot-Chellappa discussion. If you solve this by FFT, you will still need some kind of spatial filter to de-weight the measurement noise.

Craig

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[Message index]

		Reconstruct surface from gradient field? By: dg86 on Thu, 13 February 2014 14:24
		Re: Reconstruct surface from gradient field? By: Craig Markwardt on Fri, 14 February 2014 17:22
		Re: Reconstruct surface from gradient field? By: Craig Markwardt on Fri, 14 February 2014 17:26
		Re: Reconstruct surface from gradient field? By: David Fanning on Fri, 14 February 2014 17:38
		Re: Reconstruct surface from gradient field? By: dg86 on Fri, 14 February 2014 18:42

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