Still image coding using a wavelet-like transform

Abstract

In this paper, a new image coding scheme based on a wavelet-like transform derived from orthogonal polynomial basis is presented. From a set of bivariate orthogonal polynomial functions, we first obtain the 2D non-separable wavelet functions to propose a wavelet-like transform coding. The motivation behind using orthogonal polynomials is that they exhibit some properties related to the human visual system (HVS). After applying the proposed transformation, the transform coefficients are threshold coded using quantization and bit allocation as in JPEG baseline system. The performance of the proposed transform coding is reported. The proposed coding scheme is also compared with other transform coding methods such as JPEG, JPEG 2000 and JPEG-XR/HDPHOTO.