These publications are provided on the
LIVE website for research purposes ONLY. No part of these documents
may be distributed for commercial purposes
Rate bounds on SSIM index of quantized images
S.S. Channappayya, A.C. Bovik and R.W. Heath
IEEE Transactions on Image Processing
Abstract
Abstract—In this paper, we derive bounds on the structural similarity
(SSIM) index as a function of quantization rate for fixed-rate
uniform quantization of image discrete cosine transform (DCT)
coefficients under the high-rate assumption. The space domain
SSIM index is first expressed in terms of the DCT coefficients of
the space domain vectors. The transform domain SSIM index is
then used to derive bounds on the average SSIM index as a function
of quantization rate for uniform, Gaussian, and Laplacian
sources. As an illustrative example, uniform quantization of the
DCT coefficients of natural images is considered. We show that
the SSIM index between the reference and quantized images fall
within the bounds for a large set of natural images. Further, we
show using a simple example that the proposed bounds could be
very useful for rate allocation problems in practical image and
video coding applications.
[Download PDF]
