Timeline for How to discretize a BezierCurve?
Current License: CC BY-SA 4.0
33 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 30, 2019 at 12:00 | history | tweeted | twitter.com/StackMma/status/1200746456644239361 | ||
| Nov 22, 2019 at 4:34 | comment | added | Silvia | I tested this on Windows and the bug seems to be fixed in 12.0. If others find otherwise status please feel free to roll back. | |
| Nov 22, 2019 at 4:32 | history | edited | Silvia | CC BY-SA 4.0 | Update current status of the bug |
| Nov 16, 2019 at 4:57 | comment | added | Silvia | I think this has been fixed in 12.0. | |
| Sep 29, 2016 at 11:40 | history | edited | user31159 | CC BY-SA 3.0 | added 9 characters in body |
| Aug 8, 2016 at 22:16 | history | edited | Szabolcs | CC BY-SA 3.0 | added 2 characters in body |
| Mar 2, 2016 at 16:16 | history | edited | kirma | CC BY-SA 3.0 | edited body |
| Oct 30, 2015 at 7:01 | comment | added | Szabolcs | @ShutaoTANG I only know this: mathematica.stackexchange.com/a/570/12 | |
| Oct 30, 2015 at 5:56 | comment | added | xyz | Could you tell me how to use the undocumented functions in the context ``GeometricFunctions```? I discovered that there are my useful functions. BTW, is it possible to see the internal code of these function by some method, like PrintDifitions[] that in package GeneralUtilities? Thanks. | |
| Oct 29, 2015 at 14:54 | history | edited | Szabolcs | CC BY-SA 3.0 | edited tags |
| Oct 29, 2015 at 14:53 | answer | added | Szabolcs | timeline score: 12 | |
| Oct 29, 2015 at 14:21 | comment | added | Jacob Akkerboom | @J.M. yeah, the picture hardly changes with PlotPoints-> 10000 | |
| Oct 29, 2015 at 13:59 | comment | added | J. M.'s missing motivation | That's funny... @Jacob, does it still happen after you increase the PlotPoints setting? | |
| Oct 29, 2015 at 13:53 | history | edited | Szabolcs | CC BY-SA 3.0 | added 141 characters in body |
| Oct 29, 2015 at 13:41 | comment | added | Jacob Akkerboom | For the last example, things look pretty much identical in v8 and v10 | |
| Oct 29, 2015 at 13:28 | comment | added | Jacob Akkerboom | I also see the same in version 8. | |
| Oct 29, 2015 at 13:25 | comment | added | Szabolcs | I do see the same in v9. I don't have v8 handy. | |
| Oct 29, 2015 at 13:22 | comment | added | J. M.'s missing motivation | @Jacob, I was talking about comparing the result of BezierCurve[] and BezierFunction[] + ParametricPlot[], actually. As I mentioned, I don't believe there was a discrepancy like this in version 8, and was hoping for a confirmatory test. | |
| Oct 29, 2015 at 13:17 | comment | added | J. M.'s missing motivation | @Jacob, can you test Szabolcs's observations, please? | |
| Oct 29, 2015 at 13:08 | history | edited | Szabolcs | CC BY-SA 3.0 | added 1188 characters in body |
| Oct 29, 2015 at 12:04 | comment | added | J. M.'s missing motivation | Maybe we should try roping in somebody with an earlier version to check. I'm positive that discrepancy wasn't there before. | |
| Oct 29, 2015 at 11:58 | comment | added | Szabolcs | @J.M. The only SplineDegree setting it accepts from me is Length[pt] - 1. | |
| Oct 29, 2015 at 11:57 | comment | added | J. M.'s missing motivation | Something doesn't seem right with BezierFunction[]; it seems it's not allowing an explicit SplineDegree setting. I don't remember this being the case in version 8... | |
| Oct 29, 2015 at 11:57 | comment | added | Szabolcs | @J.M. Yes, I get the same. There is a small but persistent difference. I don't understand why and I worry it's going to turn into a big difference for some other input data. Sorry for having only this almost straight curv as an example ... | |
| Oct 29, 2015 at 11:53 | comment | added | J. M.'s missing motivation | It's one possibility, yes: you may want to ensure that the two curves do have the same degree, though honestly I can't think of a situation that doesn't produce cubic curves. | |
| Oct 29, 2015 at 11:52 | comment | added | J. M.'s missing motivation | bfun = BezierFunction[pt]; ParametricPlot[bfun[t], {t, 0, 1}, PlotPoints -> 25, Prolog -> {Directive[AbsoluteThickness[3], ColorData[97, 2]], BezierCurve[pt]}] gives this for me. | |
| Oct 29, 2015 at 11:51 | comment | added | Szabolcs | @J.M. With these different set of points, {{85.6699, 270.639}, {81.4849, 265.53}, {72.1939, 247.082}, {69.5059, 244.27}, {66.8189, 241.46}, {65.3979, 237.927}, {64.1759, 236.649}, {62.9539, 235.372}, {75.0969, 229.142}, {76.6069, 228.676}, {78.1179, 228.21}, {75.1319, 234.644}, {75.2469, 237.147}, {75.3609, 239.65}, {80.5859, 252.02}, {82.9949, 256.076}, {85.4049, 260.131}, {92.1679, 270.779}, {93.5919, 274.19}, {95.0159, 277.6}, {92.9719, 279.555}, {85.6699, 270.639}}, the above ParametricPlot also gives differing results. Is it because I need to set SplineDegrees? | |
| Oct 29, 2015 at 11:50 | comment | added | Szabolcs | @Silvia If I export/import to/from PDF, I still get a JoinedCurve with a BezierCurve inside (after decoding using GeometricFunctions`DecodeJoinedCurve), so I'm back to the same problem. There's also an additional problem: the coordinates have all changed. I need to do measurements on these objects (imported form a single PDF), so they must all be in the same coordinate system. | |
| Oct 29, 2015 at 11:46 | comment | added | Szabolcs | @J.M. The same example from this post doesn't. ParametricPlot[BezierFunction[pt][x], {x, 0, 1}, Epilog -> {BezierCurve[pt]}], where pt are the points from above. | |
| Oct 29, 2015 at 11:45 | comment | added | J. M.'s missing motivation | With respect to JoinedCurve[]/FilledCurve[]: if memory serves Simon Woods has a post somewhere on how to split those into components. | |
| Oct 29, 2015 at 11:44 | comment | added | J. M.'s missing motivation | The other possibility is to use ParametricPlot[] + BezierFunction[] to create a Line[] primitive that should now be easily discretized. Can you give an example where BezierCurve[] doesn't seem to give the same result as my proposal? | |
| Oct 29, 2015 at 11:42 | comment | added | Silvia | You can export a bspline as pdf then import the pdf. See my answer here. | |
| Oct 29, 2015 at 11:21 | history | asked | Szabolcs | CC BY-SA 3.0 |