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Continuous Generalized Elastic curves

Generalized elastic curves are solutions of the differential equation

K'' = b + (a - 1/2 * K*K)*K

where K is the curvature of the curve. The curve itself is then the solution of

c'' = K*Jc'

where J denotes the anti-clockwise rotation by 90°. Change the initial values K, K', initial point, initial direction and/or parameters a or b to get another elastic curve. Parameter 'Stepsize K' is used for the integration of equation K''=...,  parameter 'Stepsize' is used for equation c''=... .

 

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