Timeline for Shortest Path finding in vector fields (2D and 3D) [closed]
Current License: CC BY-SA 4.0
16 events
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Jun 5, 2020 at 14:09 | history | closed |
Alexandre Eremenko Jens Reinhold abx YCor user44191 |
Needs details or clarity | |
Jun 5, 2020 at 12:38 | vote | accept | dza | ||
Jun 5, 2020 at 12:32 | answer | added | Ben McKay | timeline score: 2 | |
Jun 5, 2020 at 12:23 | comment | added | Ben McKay | If the vector field is continuously differentiable, it has a unique flow line through each point, so the closest path is the unique path. It is as if you were to walk into a room wearing one hat, and ask me which of the hats you are wearing looks best. I would have to answer, the one unique hat are wearing. So it doesn't seem like much of a question. | |
Jun 5, 2020 at 12:22 | history | edited | dza | CC BY-SA 4.0 |
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Jun 5, 2020 at 12:20 | comment | added | dza | @BenMcKay Thanks for the question, it's made me rethink what I originally stated in the question. It would be more like an unpowered boat, with no sail, just a rudder so it would moved strictly by ocean currents. | |
Jun 5, 2020 at 12:15 | comment | added | Ben McKay | Can you only move along the vector field (like a train along a track), or do you have a rudder to steer with (unlike a train, more like a boat)? | |
Jun 5, 2020 at 12:14 | history | edited | YCor |
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Jun 5, 2020 at 12:06 | history | edited | dza | CC BY-SA 4.0 |
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Jun 5, 2020 at 11:36 | history | edited | dza | CC BY-SA 4.0 |
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Jun 5, 2020 at 11:34 | comment | added | dza | Thanks to both of you, Leo the first portion of your response is what I was referring to, that you can only move following the vector field. I was interested in finding paths that are as close to, if not all the way to the 2nd point in the vector field. | |
Jun 5, 2020 at 11:31 | review | Close votes | |||
Jun 5, 2020 at 14:09 | |||||
Jun 5, 2020 at 11:14 | comment | added | leo monsaingeon | Yes, what do you mean by "within the vector field"? do you mean that one can only move following the vector field? If so the problem is hopeless because two arbitrary points are extremely unlikely to be connected by an integral curve. If not I guess your problem is meaningless and you should reformulate your question. | |
Jun 5, 2020 at 11:11 | comment | added | Alexandre Eremenko | What is the relation between the path and the vector field? | |
Jun 5, 2020 at 10:28 | review | First posts | |||
Jun 5, 2020 at 11:22 | |||||
Jun 5, 2020 at 10:20 | history | asked | dza | CC BY-SA 4.0 |