General methods for minimizing the internal energy of B′ezier-like curves and their applications
Although the shape parameters contained in B´ezier-like curves can indeed improve their shape representation ability,it is also worth paying attention to how to optimize the shape of B´ezier-like curves by determining the optimal values of the shape parameters.In this paper,the general methods for determining the optimal values of the shape parameters contained in B´ezier-like curves by minimizing the three well known internal energy of the curves are proposed.The general methods include minimizing one of the internal energy,synchronously minimizing two of the internal energy,and synchronously minimizing all the internal energy.Then a B´ezier-like curve called cubic alternative curve is used to check the proposed general methods,and the results show that these methods are feasible.
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