Timeline for Finding 3 dimensional B-spline control points from given array of points from spline solution?
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 14, 2010 at 16:23 | vote | accept | Ole J | ||
| Dec 14, 2010 at 15:59 | comment | added | Ole J | @h10 'error volume between the surfaces' how to compute volume between the surfaces knowind only points from one and theoretically all points from another (but only theoretically because computing all points will be quite messy) | |
| Dec 14, 2010 at 15:23 | comment | added | sleepless in beantown | @Cam-McLeman, the question is poorly formed. "Something like" may refer to the fact that there is more than one metric that could be used to minimize the error between the approximating surface define by the B-spline or NURBS-surface, and the difference in volume is one possible metric. The real problem in this question lies in the fact that the number of control points is unknown at the beginning, and a guess must be taken to start with. It's the same problem with doing k-means or fuzzy-c-means segmentation or clustering of multidimensional data: how many clusters to start with. | |
| Dec 14, 2010 at 14:49 | comment | added | Cam McLeman | @h10: I don't find your answer particularly helpful. While answers on MO are not meant to be expository, I don't think it would be asking too much to expand your answer with some narration and/or background, and remove phrases like "something like" -- at least if you want your answer to be useful to anyone reading it. | |
| Dec 14, 2010 at 13:26 | comment | added | h10 | If your next comment is that you don't yet have the NURBS surface, then I'm going to give up and let someone else help you. | |
| Dec 14, 2010 at 13:20 | comment | added | h10 | The other surface is the NURBS surface defined by the control point locations and weights. | |
| Dec 14, 2010 at 13:10 | comment | added | Ole J | 'the function to minimize is something like the error volume between the surfaces.' ... hm - I need and have data from 1 surface. so how can I calculate such error function? | |
| Dec 14, 2010 at 12:49 | comment | added | h10 | en.wikipedia.org/wiki/Optimization_%28mathematics%29 | |
| Dec 14, 2010 at 12:46 | comment | added | Ole J | could you provide some links to articles on this black box optimizer topic? | |
| Dec 14, 2010 at 12:43 | history | answered | h10 | CC BY-SA 2.5 |