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You probably need to be more specific than that. What sort of inverse problem do you have in mind? Does your thesis deal with solving inverse problems, or wit
by dmlorenzetti 14y ago
You probably need to be more specific than that. What sort of inverse problem do you have in mind? Does your thesis deal with solving inverse problems, or with visualization, or with monte carlo simulation using forward models? If it's problem-based, what particular problems do you consider? Are there graphical representations of the forward problem? Do you intend to actually solve the inverse problem and show its solution, or just make a drawing of what you think the solution would be?
In my field, a typical inverse problem involves source term estimation. Imagine you have a forward model of atmospheric transport. That is, given a source of some gas or radiological particle, the model predicts its concentration in the surrounding area, over time. A graphical representation of that forward problem might be, for example, a contour map of 24-hour exposures.
For such a situation, an inverse problem is to estimate, based on a few sensor readings, the strength and location of a source. A graphical representation of that inverse problem might be a contour map of probabilities that the source is in a given location.
- cosfor 14y agoFirst of all, thank you very much for the detailed reply. I was thinking about something general, i.e. for an intro slide in a presentation where people can look at and have an immediate visualization of the main feature of an inverse problem, in particular the fact that it is inverse and hence related to a path going from data to model. Anyway I appreciated your exaustive examples. Thank you again.
- dmlorenzetti 14y agoI don't know whether this fits your definition of an inverse problem, but maybe cruise over to the USGS website and find a picture or a screenshot of locating an earthquake based on seismic readings. Most people have heard of or can relate to that, I think. Good luck with your presentation.