The Foldover-free Condition of Locally Constrained Image Warping

The work in this paper presents the foldover-free condition for locally constrained image warping. It is based on the radius of influence region and the distance of source and target point, i.e., their proportional relation. The condition is tight, sufficient, but not necessary, and can be used to ensure one-to-one property maintained during the deformation process. Under this condition, the desired image warping without overlap can be obtained.