| bio | website | |
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| location | ||
| age | 49 | |
| visits | member for | 1 year, 9 months |
| seen | Jan 18 at 12:53 | |
| stats | profile views | 15 |
I'm a professional programmer with a mathematical disposition.
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Sep 20 |
comment |
Curvature of the image of a curve projected onto a surface It's not clear to me that the construction as you describe it gives the correct curve. Can you justify the idea that there is a locally aligned parametrization that has the second derivative projection properties? Unfortunately I have to award the bounty soon, so please answer quickly. I'll give it some further thought myself. |
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Sep 18 |
comment |
Curvature of the image of a curve projected onto a surface @alex: the surface will generally be a NURBS surface, so there is no hope of an implicit form. Thanks for the suggestion. |
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Sep 14 |
revised |
Curvature of the image of a curve projected onto a surface edited tags |
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Sep 14 |
awarded | Promoter |
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Sep 14 |
revised |
Curvature of the image of a curve projected onto a surface added 66 characters in body |
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Sep 13 |
answered | Archimedes and center of gravity of an triangle |
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Aug 31 |
comment |
“Mathematical Induction” ODEs do it for me every time! |
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Aug 31 |
awarded | Teacher |
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Aug 31 |
revised |
“Mathematical Induction” added 141 characters in body |
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Aug 31 |
answered | “Mathematical Induction” |
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Aug 25 |
comment |
Curvature of the image of a curve projected onto a surface @anon: Thanks for this. I intend to see if I can get it to work in Mathematica, but I haven't gotten to it yet. |
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Aug 18 |
awarded | Supporter |
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Aug 18 |
comment |
Curvature of the image of a curve projected onto a surface I modified the question to avoid references to derivatives in $C_S$. |
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Aug 18 |
awarded | Editor |
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Aug 18 |
revised |
Curvature of the image of a curve projected onto a surface Removed methion of derivatives for C_S |
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Aug 18 |
comment |
Curvature of the image of a curve projected onto a surface @Jesse: Hmmm, that didn't come out very nice, did it. I guess you can't use html in comments? How did you get your subscripts? |
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Aug 18 |
comment |
Curvature of the image of a curve projected onto a surface @Jesse: Actually I was a bit sloppy on my wording. <em>C<sub>S</sub></em>'(<em>t<sub>0</sub></em>) is proportional to <em>C<sub>S</sub></em>'(<em>t<sub>0</sub></em>), which is all I need in my case. This problem comes from my desire to walk along the surface tracing out the projection from an initial point. I intend to do this by estimating a step with derivative information, and then correcting by iteration. The approach of walking along the curve projecting points is flawed because the projection is one-to-many. |
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Aug 18 |
awarded | Student |
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Aug 18 |
asked | Curvature of the image of a curve projected onto a surface |