Parametrization invariance and shape equations of elastic axisymmetric vesicles
Parametrization invariance and shape equations of elastic axisymmetric vesicles
The issue of different parametrizations of the axisymmetric vesicle shape addressed by Hu Jian-Guo and Ou-Yang Zhong-Can [Phys. Rev. E 47, 461 (1993)] is reassessed, especially as it transpires through the corresponding Euler-Lagrange equations of the associated elastic energy functional. It is argued that for regular, smooth contours of vesicles …