Principles of Digital Audio
On Spatial Quantization of Color Images
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Fundamentals of Signals and Systems
Fundamentals of Signals and Systems
Quantization Noise: Roundoff Error in Digital Computation, Signal Processing, Control, and Communications
A unified neutral network approach to digital image halftoning
IEEE Transactions on Signal Processing
IEEE Transactions on Information Theory
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One of the classic problems of digital image processing is to encode true-color images for the optimal viewing on displays with a limited set of colors. A major manifestation of optimal viewing in this regard is to maximally remove parasitic artifacts in the degraded encoded images such as the contouring effect. Several robust attempts have been made to solve this problem over the past 50years, and the first contribution of this paper is to introduce a simple - yet effective - novel solution that is based on soft vector clustering. The other contribution of this paper is to propose the application of the soft clustering methodology deployed in our color-encoding solution for the dithering of multidimensional signals. Dithering essentially adds controlled noise to the analog signal upon its digitization so that the resulting quantization noise is dispersed over a much wider band of the frequency domain and is therefore less perceptible in the digitized signal. This comes of course at the price of more overall quantization noise. Dithering is a vital operation that is performed via well-known simple schemes upon the analog-to-digital conversion of one-dimensional signals; however, the published literature is still missing a general neat scheme for the dithering of multidimensional signals that is able to handle arbitrary dimensionality, arbitrary number and distribution of quantization centroids, and with computable and controllable noise power. This gap is also filled by this paper.