Quantisation Scale-Spaces

Pascal Peter

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arXiv · 2103.10491

Quantisation Scale-Spaces

Pascal Peter

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Abstract

Recently, sparsification scale-spaces have been obtained as a sequence of inpainted images by gradually removing known image data. Thus, these scale-spaces rely on spatial sparsity. In the present paper, we show that sparsification of the co-domain, the set of admissible grey values, also constitutes scale-spaces with induced hierarchical quantisation techniques. These quantisation scale-spaces are closely tied to information theoretical measures for coding cost, and therefore particularly interesting for inpainting-based compression. Based on this observation, we propose a sparsification algorithm for the grey-value domain that outperforms uniform quantisation as well as classical clustering approaches.

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Pascal Peter. 2021-03-18. Quantisation Scale-Spaces. https://arxiv.org/abs/2103.10491

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