A fast and stable deformation model is essential for realistic simulation of image morphing. In order to stabilize deformation, we used two internal thin plate mass-spring systems that compute the displacements of the xand y-components of all nodes on the mesh. The deformation results are globally smoother and more stable due to the direction limitation of thin plate mass-spring systems. One-to-one deformation is one of the important issues in image morphing. We focus on fast removing overlaps

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... n the process of deformation. To rapidly remove overlaps, the external forces are set automatically on four or eight neighboring nodes. The speed of removing overlaps is faster when external forces are set on four or eight neighbouring nodes than when on two neighbouring nodes.