plotting algebraic curves
Feb. 12th, 2010 10:14 amI'm wondering if there are functions in R for plotting algebraic curves... like isotherms in a heatmap.
This is not something I've ever needed to do before, in any language.
I don't want to be solving n-th degree equations (finding all solutions!) just to make a plot. Is there a standard trick for parameterizing the points on the curve?
I can imagine a combination of numerical search that returns points close to the boundary of the set, and once you have two points within epsilon of the boundary, using extrapolation to guide the search for the next point on the boundary.
This is not something I've ever needed to do before, in any language.
I don't want to be solving n-th degree equations (finding all solutions!) just to make a plot. Is there a standard trick for parameterizing the points on the curve?
I can imagine a combination of numerical search that returns points close to the boundary of the set, and once you have two points within epsilon of the boundary, using extrapolation to guide the search for the next point on the boundary.