Digital Halftoning via Mixed-Order Weighted Sigma-Delta Modulation

Felix Krahmer, Anna Veselovska

Abstract:

In this paper, we propose 1-bit weighted Sigma-Delta quantization schemes of mixed order as a technique for digital halftoning. These schemes combine weighted Sigma-Delta schemes of different orders for two-dimensional signals so one can profit both from the better stability properties of low order schemes and better accuracy properties of higher order schemes. We demonstrate that the resulting mixed-order Sigma-Delta 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.

Submission Type: Full Paper