On the 3D objects superposition as applied to neurosurgery systems. (Q1878740)

The paper studies the problem mentioned in the title, which formally can be stated as follows. Given two bounded smooth surfaces \(F\) and \(G\) in the three-dimensional Euclidean space \({\mathbb R}^3\), it is required to find a transformation \(H:{\mathbb R}^3\to {\mathbb R}^3\) preserving the angles and the distances that transforms \(F\) into \(G\). The authors suggests an iterative algorithm for solution of this problem. The uniqueness of the solution is also established.