Thanks Andrew, conceptually it's clear. Now I have to code it :) I will have a look to SimPy, and also to SciPy/NumPy
I will let you know how it's going on. 2009/2/20 Andrew Straw <straw...@astraw.com>: > G. Allegri wrote: >> >> Hi Andrew. >> With dist(point_i,polynomial_curve) do you mean point_i belonging to >> the Line 2 set of points and pol_curve as Line 1? > > yes > >> In this case it >> could be reasonably ok for me. How can I derive the closed form for >> dist()? Excuse my ignorance with geometry.... >> > > Take the equation for line 1parameterized by s. Something like f(s) = (x,y) > = (as**2 + bs +c, ds**2 + es + f ) for your polynomial model. Now, the > distance for that point on line 1 from point i is dist(point_i, f(s)), where > dist can be Euclidean distance, for example. > > So, the question is what value of s minimizes the distance. Since this > function will be smallest at an inflection, just take the derivative of your > distance function and solve for it to be equal to zero. Hopefully this > function will be convex and you'll have only one zero, which will tell you > the value of s where distance is a minimum. Otherwise, pick the inflection > at the closest distance. Finally, repeat for all points i and sum the > results. > > Hopefully that helps on the conceptual side. Sympy will be more useful than > matplotlib on the coding side... > ------------------------------------------------------------------------------ Open Source Business Conference (OSBC), March 24-25, 2009, San Francisco, CA -OSBC tackles the biggest issue in open source: Open Sourcing the Enterprise -Strategies to boost innovation and cut costs with open source participation -Receive a $600 discount off the registration fee with the source code: SFAD http://p.sf.net/sfu/XcvMzF8H _______________________________________________ Matplotlib-users mailing list Matplotlib-users@lists.sourceforge.net https://lists.sourceforge.net/lists/listinfo/matplotlib-users
