On bounds of shift variance in two-channel multirate filter banks
IEEE Transactions on Signal Processing
Evolutionary clustering based vector quantization and SPIHT coding for image compression
Pattern Recognition Letters
Automatic prediction of perceptual quality of multimedia signals--a survey
Multimedia Tools and Applications
The high-resolution rate-distortion function under the structural similarity index
EURASIP Journal on Advances in Signal Processing - Special issue on theory and application of general linear image processing
Structural similarity-based approximation of signals and images using orthogonal bases
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
Perceptually optimized blind repair of natural images
Image Communication
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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.