Patent ID: 7110606
Filing Date: 2006-09-19
Classification: H04N

Abstract:
1. A method performed by a computer for encoding a one-dimensional (1-D) image signal x(t), the image signal being a periodic signal with period N=nτ, where n is an integer and τ is a fixed positive integer, the method comprising: defining a 1-D cubic-spline filter r(t) by applying the filter to the image signal x(t) with  to compute y computing a cyclic matrix of size n×n B=[b and where for τ+2, b computing a reconstructed filter by computing inverse matrix of B, A=B and where the coefficients of the reconstructed filter A are a computing where Y=[y by computing a circular convolution: where x j are convolution coefficients between time samples y k and a k for 0≦k,j≦n−1 and are the encoded values of the image signal x(t) at sampling points and where (j−k) n denotes a residue (j−k) module n.