Image Compression Using Discrete Tchebichef Transform Algorithm

Abstract

The Discrete Tchebichef Transform (DTT) based on orthogonal Tchebichef polynomials can be an alternative to Discrete Cosine Transform (DCT) for JPEG image compression standard. The properties of DTT are not only very similar to DCT; it has also higher energy compactness and lower computational advantage using a set of recurrence relation. Through extensive simulation, image reconstruction accuracy (Peak Signal to Noise Ratio) and the number of bits required to encode the coefficients for both DCT and DTT is verified. It has been demonstrated that, DTT requires lesser number of bits to encode the coefficients than DCT for a given compression ratio.