Kalenuk A. Geometric objects deformation modelling using weighted interpolation

The thesis presents results of research in point objects deformation modelling. The author offers a method for geometric objects deformation modelling, based on weight interpolation of representing basis points translation vectors. For this method a number of interpolation schemes were considered and, regarding their efficiency, a new simplicial weighted interpolation and extrapolation scheme was developed. This scheme though shown its computational inefficiency in high dimensional space, therefore it needed a modification lowering its computational cost. Such modification was also developed and is provided in this work.