Fast and Efficient 4×4 Tchebichef Moment Image Compression

Authors

• Nur Azman Abu
• Siaw Lang Wong
• Hidayah Rahmalan
• Shahrin Sahib

Abstract

Orthogonal moment functions have long been used in image analysis. This paper proposes a novel approach based on 4×4 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 4×4 Tchebichef Moment Transform and Discrete Cosine Transform have been compared. The results show that the 4×4 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

• This work is supported by Fundamental Research Grant Scheme
• Tchebichef Moment Transforms. Ministry of Higher Education Malaysia
• Orthogonal Moment Functions
• Image processing
• Image Coding