A concise parametrisation of affine transformation

Good parametrisation of affine transformations is essential to interpolation, deformation and analysis of shapes 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 transformation, which is a generalisation to or an improvement of some existing methods. Our method adds yet another choice to existing toolbox and shows better performance in some applications. A C++ implementation is available to make our framework ready to use in various applications.