Analyzing a deformable model using differential geometry

The paper explores the use of elements of differential geometry to control the manipulation of the deformable model proposed by D. Terzopoulos et al. (1987) for animating deformable objects. Particularly, we are interested in the animation of deformable panels without stretching (area invariant), such as clothes and papers. Based on our analysis we could generate with a little effort several simulations compatible with our expectation.