Easing Functions in the New Form Based on Bezier Curves

摘要

The transition problem is one of the important problems of animation. The Penners easing functions solve this successfully. There are some well known and widely used approximations of these functions where Bezier curves have been used. However, the transition functions, obtained by such approximation differ substantially from the original. We proposed new form of approximation in the paper. Two class of easing functions are discussed. In first simple approximation allows obtaining sufficient effects. In the second the easing function is divided into two symmetric parts where the approximation is done. For every approximation the root mean square error (RMSE) has been determined and the animated transition using new solution is analyzed. The new approximation allows obtaining better RMSE as well as better visual effects in animation.