New multiscale planar shape invariant representation under a general affine transformations

We introduce a set of invariant and local descriptors, which are independent under a general affine group transformation (GA(2): rotation, uniform scaling, translation, and stretching) of planar curves: a new invariant in affine scale-space (IASS). For their extraction, we propose a method based on multiple convolutions between the affine-parametrized curve and Gaussian kernel. The IASS representation of planar curves generalizes, in the affine case, a curvature scale space invariant description under similarity transformation (rotation, uniform scaling and translation)