I have a list of data for use in ListContourPlot in the form of:
data={{x1,y1,v1},{x2,y2,v2},...};
Let's say the values of v range from -1 to 1. When plotted, it is clear there are optimal points on the contours that are produced (e.g, for contour 0.5, there is a minimal value of x).
Is there an automatic way to obtain such values from the plot (i.e. as opposed to using plot coordinates)? If so, would there dependence on the interpolation order?
UPDATE: The data would look something like this:
Imagine I have a ton of these plots and want to find the minimal value of x on the 0.5 contour for each of them.
x
falls under some condition? :s $\endgroup$x
from the contour produced in Mathematica that meets my criteria, in this case the minimal interpolated value. $\endgroup$x
asa single-valued function ofy
for each contour. May the reader assume that this always is true for the actual plots? If so, the solution is straightforward. $\endgroup$