In the image plane, a 3 Dimensional movement of planar rigid object can be represented satisfactory by an affine motion of his boundary (the exterior contour) which we assume to be closed. The object movement can be described by a special affine transformation of the plane IR 2 . The extraction of invariant features under affinities is important in such procedure. Recently we have proposed a ne...

In this paper, we propose a robust blind watermarking algorithm for high-definition video contents. For the security of watermark information, a matrix of random numbers is generated using a secret key. We perform inverse steerable pyramid transformation (SPT) to the matrix to produce a transformed matrix. The 2-dimensional fast Fourier transformation (2D FFT) is performed to the luminant compo...

The propagation of mutual intensity through quadratic graded-index media or free space can be expressed in terms of two-dimensional fractional Fourier transforms for one-dimensional systems and in terms of fourdimensional fractional Fourier transforms for two-dimensional systems. As light propagates, its mutual intensity distribution is continually fractional Fourier transformed. These results ...

A new generalized function space in which all Gelfand-Shilov classes S ′0 α (α > 1) of analytic functionals are embedded is introduced. This space of ultrafunctionals does not possess a natural nontrivial topology and cannot be obtained via duality from any test function space. A canonical isomorphism between the spaces of hyperfunctions and ultrafunctionals on R is constructed that extends the...