Fast and Efficient ۴x۴ Tchebichef Moment Image Compression

Orthogonal moment functions have long been used in image analysis. This paper proposes a novel approach based on ۴x۴ discrete orthogonal Tchebichef moment for fast and efficient image compression. The method incorporates a simplified mathematical framework technique using matrices as well as a block-wise reconstruction technique to eliminate possible occurrences of numerical instabilities at higher moment orders. Then the ۴x۴ Tchebichef Moment Transform and Discrete Cosine Transform have been compared. The results show that the ۴x۴ Tchebichef moment has significant advantages over the other technique in terms of its error reconstruction, average bit-length of Huffman codes and image quality.  Moreover, Tchebichef moment provides a compact support to sub-block reconstruction for image compression. Tchebichef Moment Compression clearly performs potentially better for broader domains on real digital images and graphically generated images.

Keywords:

image processing , Image Coding , This work is supported by Fundamental Research Grant Scheme , en , Tchebichef Moment Transforms , Ministry of Higher Education Malaysia , Orthogonal Moment Functions , JPEG Compression , Discrete Cosine Transform