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1d
accepted How to group and join points
2d
comment How to group and join points
@Mr.Wizard Thank you for the links, they are indeed relevant, especially the second one. What is interesting, they use quite different approaches from suggested here. But all roads lead to Rome...
Feb
9
awarded  Nice Question
Feb
9
comment How to group and join points
@leosenko This is a good point. Indeed curves can intersect, i.e. smell(wolf)>smell(dog) in one instance and smell(wolf)<smell(dog) in another. That is why there are three detectors. I hope that by using information provided by 3 of them, i.e., using the "sound" and the "look" properties in addition to the "smell" can help to identify animals unambiguously.
Feb
9
comment How to group and join points
I think your code is the shortest one. It is also pretty accurate. Here I have the same question as for the approach of @Anton Antonov, can it be applied to the triples of data-points in order to improve the accuracy?
Feb
9
comment How to group and join points
I am impressed that you could get accurate results working with each set independently. Do you see a possibility to apply your method to triplets of data points? I expect it can improve the accuracy.
Feb
9
comment How to group and join points
I think your result is the most accurate one. Thanks a lot! I need to read your algorithms in order to understand if it is applicable to a larger class of problems.
Feb
9
revised How to group and join points
added 342 characters in body
Feb
9
revised How to group and join points
added explanation of the problem
Feb
9
revised How to group and join points
added explanation of the problem
Feb
9
comment How to group and join points
@Anton Antonov, yes it is indeed related. Apart from algorithmic difficulties I also have a problem of finding an efficient data representation, especially for the real word example where I do not know in advance how many curves are there.
Feb
9
comment How to group and join points
@Dr.belisarius, no it is not exactly how you reformulate it. Sorry for figurative language below. Imagine you observe 3 animals in the forrest (rabbit, wolf, fox) as a function of time (x). They have 3 properties (L[1] - smell, L[2] - sound, L[3] -look). Not all animals are close enough to the detector, sometimes detectors register 1, sometimes 2 animals at a time. The question is (i) to separate signals belonging to rabbit, wolf and fox and (ii) plot sound as a function of smell for each of them.
Feb
9
comment How to group and join points
@Jason B, one curve on panels 2 and 3 has a discontinuity
Feb
9
comment How to group and join points
@Jason B, Finding distinct curves for L[1] automatically means we know connectivity for L[2] and L[3] because L[1,2,3] are three different properties of the same system! However, the idea is not to restrict to L[1] only in finding the solution (like in the link), but to use all available information to infer connectivity. As you rightfully mention, sometimes connectivity is well visible in one property, sometimes in another!
Feb
9
comment How to group and join points
@Edmunds, no need to go so far. The problems is not with parametric plot, but with 3 different curves that such parametric plot should have.
Feb
9
comment How to group and join points
@Edmund, please read the question carefully
Feb
9
comment How to group and join points
@Coolwater, please read the question carefully
Feb
9
revised How to group and join points
added 175 characters in body
Feb
9
asked How to group and join points
Nov
24
awarded  Critic