How Can Software Identify Maximum Curvature on a Graph?

[anonymousman]

Urgent!How to find the point where Maximum Curvature occurs on graph?

Homework Statement

The graph(2D) is plotted from experimental data, not from a given equation and within certain limit. I want to know the x&y coordinate where the maximum curvature occur via software means, not manually. FYI, for those with civil&geotechnical engineering background, the graph i am plotting is about consolidation topic of soil mechanics subject, which is the void ratio vs effective stress curve. I want to get the preconsolidation value from the graph plotted.

p.s. the attached file is rough idea of what i mean.

 

[HallsofIvy]

From the tone of this, I suspect that you are to determine the point of maximum curvature by looking at the graph and deciding where it appears to "curve" most!

 

[anonymousman]

yes, do u know any software that can find the point?

 

[ShayanJ]

Take a look at http://en.wikipedia.org/wiki/Curvature

I think you can parametrize your curve and then find its curvature. Then set the curvature's derivative to zero.

 

[anonymousman]

lol,no offense i aint that advanced to get the maximum curvature by hand calculation, lol, that's why i need a software, if not, imma get the point via naked point instead

 

[Ray Vickson]

lol,no offense i aint that advanced to get the maximum curvature by hand calculation, lol, that's why i need a software, if not, imma get the point via naked point instead

I think you mean "naked eye", not "naked point". Anyway, that is what you need to do. Also: please avoid 'text-speak' in this Forum; take the trouble to say 'I' instead of 'i' and 'you' instead of 'u', etc.

 

[Mark44]

I think you mean "naked eye", not "naked point". Anyway, that is what you need to do. Also: please avoid 'text-speak' in this Forum; take the trouble to say 'I' instead of 'i' and 'you' instead of 'u', etc.

Addressed in a warning to the OP.