Recovery of motion parameters and point correspondences is a fundamental problem in computer vision. Although a great deal of research has been done in solving rigid motion, nonrigid motion analysis has only recently been addressed and is gaining interest due to its wide range of applications. This paper introduces a novel method for estimating motion parameters and point correspondences between surfaces under small nonrigid deformations. It uses the changes in differential geometric properties of surface under motion. Simulations are performed by generating nonrigid motion on an ellipsoidal data to illustrate performance and accuracy of derived algorithms, Then, the algorithm is tested on the sequence of facial range images. The motion parameters generated by the algorithm has also been used do detect the abnormality in cardiac images.>