  Good parametrisations of affine transformations are essential to
interpolation, deformation, and analysis of shape, motion, and animation. It
has been one of the central research topics in computer graphics. However,
there is no single perfect method and each one has both advantages and
disadvantages. In this paper, we propose a novel parametrisation of affine
transformations, which is a generalisation to or an improvement of existing
methods. Our method adds yet another choice to the existing toolbox and shows
better performance in some applications. A C++ implementation is available to
make our framework ready to use in various applications.
