If you give Matlab a set of points and perimeters can it give you an equation?

How would you create a function using Matlab, with six given points and their perimeters?

Attached is the graph of the equation we need to find. An object must follow the path represented in the attached graph. The black rectangles represent the perimeters that the object can move through.

Any information given, that is used, will be cited. Thanks in advance, Mike

Answer 1

[Image Analyst]

You didn't attach anything. Be sure you click the Attach File button after you browse to your file, otherwise it will not be attached. Have you tried the curve fitting Toolbox? Or simply tried polyfit()?

[Image Analyst]

You might try this: http://www.mathworks.com/matlabcentral/fileexchange/24443-slm-shape-language-modeling

Answer 2

[Matt J]

You could use LSQCURVEFIT, if you have it.

Answer 3

[Walter Roberson]

I suggest trying a cubic spline fit.

Answer 4

[Roger Stafford]

You could also use a fifth order Lagrange polynomial to go through all six points. See:

 http://en.wikipedia.org/wiki/Lagrange_polynomial

Note: I don't see the point in your black rectangles. If a curve passes through their central point, it must follow that the curve has also passed through the rectangle.