In this research report we propose a novel approach to build interest points and descriptors which are invariant to a subclass of affine transformations. Scale and rotation invariant interest points are usually obtained via the linear scale-space representation, and it has been shown that affine invariance can be achieved by warping the smoothing kernel to match the local image structure. Our a...

We initiate the study of verification power Affine finite automata (AfA) as a part Arthur-Merlin (AM) proof systems. show that every unary language is verified by real-valued AfA verifier. Then, we focus on verifiers restricted to have only integer-valued or rational-valued transitions. observe can be simulated verifiers, and their protocols in nondeterministic polynomial time. this upper bound...

finite affine groups are given by groups of translations and di-lations on finite cyclic groups. for cyclic groups of prime orderwe develop a time-scale (wavelet) analysis and show that for alarge class of non-zero window signals/vectors, the generatedfull cyclic wavelet system constitutes a frame whose canonicaldual is a cyclic wavelet frame.