Parametric Slant-Hadamard Transforms

摘要

The purpose of this paper is to develop a class of generalized parametric Slant-Hadamard transform of order (N = k~n, n = 2, 3,...) where k is an arbitrary integer and to present its fast algorithm. As special cases of this class are the classical Slant-Hadamard (k = 2 and β_N = 1), the generalized Slant-Hadamard (β_N = 1), and the parametric Slant-Hadamard (k = 2) transforms. We will show that the parametric Slant-Hadamard transform is slightly superior to the DCT for compression of the geometric test images at a particular quantization matrix scaling factors.