The Hierarchical Signal Dependent Transform: Creating Orthonormal Basis that Match Local Signal Characteristics

Vanessa Testoni, Max H. M. Costa, and Dinei Florencio

Abstract

Hierarchical transforms are widely used in image and video coding

to produce multilevel decomposition of signals. After applying these

transforms, same level signals are typically uncorrelated. However,

there is often still significant cross level information. Traditionally,

this cross-level information is exploited at the entropy coding step,

but not at the transform step. The main contribution of this work

is an energy compaction technique/transform that can also exploit

these cross-resolution-level structural similarities. The core idea

of the technique is to include in the hierarchical transform a number

of adaptive basis functions derived from the lower resolution

of the signal. A full image codec was developed in order to measure

the performance of the new transform. Results are presented in

terms of transform coding gain, energy concentration and distortion

versus rate curves compared with standard JPEG, JPEG 2000 and

JPEG XR.

Details

Publication typeInproceedings
Published inVCIP
PublisherIEEE SPS
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