Digital Halftoning via Mixed-Order Weighted Σ∆ Modulation

MCML Authors

Felix Krahmer

Prof. Dr.

Principal Investigator

Optimization & Data Analysis

Anna Veselovska

Dr.

→ Group Massimo Fornasier
 Applied Numerical Analysis

Abstract

In this paper, we propose 1-bit weighted Σ∆ quantization schemes of mixed order as a technique for digital halftoning. These schemes combine weighted Σ∆ schemes of different orders for two-dimensional signals so one can profit both from the better stability properties of low order schemes and the better accuracy properties of higher order schemes. We demonstrate that the resulting mixed-order Σ∆ schemes in combination with a padding strategy yield improved representation quality in digital halftoning as measured in the Feature Similarity Index.These empirical results are complemented by mathematical error bounds for the model of two-dimensional bandlimited signals as motivated by a mathematical model of human visual perception.

inproceedings

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SampTA 2023

14th International Conference on Sampling Theory and Applications. Yale, CT, USA, Jul 10-14, 2023.

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Authors

F. Krahmer • A. Veselovska

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Links

DOI

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Research Area

 A2 | Mathematical Foundations