Mesh vertex pose and position interpolation using geometric algebra

Abstract

This paper presents a method of interpolating between two or more general displacements (rotation and translation). The resulting interpolated path is smooth and possesses a number of desirable properties. It differs from existing algorithms which require factorising the pose into separate rotation and translation components and is derived from an intuitively appealing framework-i.e. a natural extension of the standard interpolation scheme for pure rotations. While this paper presents the theory behind the interpolation and its description as a tool, we also outline the possible advantages of using this technique for vision and graphics applications. © 2008 Springer-Verlag.