R. Mukundan (New Zealand)
Discrete Orthogonal Polynomials, Tchebichef
Polynomials, Image Reconstruction, Image Compression,
Discrete Cosine Transform.
Moment functions based on Tchebichef polynomials have
been used recently in pattern recognition applications.
Such functions have robust feature representation
capabilities needed for a recognition task. This paper
explores the possibility of using orthonormal versions of
Tchebichef polynomials for image compression. The
mathematical framework for the definition of Tchebichef
transforms is given, along with the various analytical
properties, recurrence relations and transform equations.
Initial experiments with gray level images have yielded
promising results, with the Tchebichef transform giving a
higher PSNR value compared to the cosine transform for
certain image reconstructions.