Abstract
In this contribution we introduce a little-known property of error diffusion halftoning algorithms which we call error diffusion displacement. By accounting for the inherent sub-pixel displacement caused by the error propagation, we correct an important flaw in most metrics used to assess the quality of resulting halftones. We find these metrics to usually highly underestimate the quality of error diffusion in comparison to more modern algorithms such as direct binary search. Using empirical observation, we give a method for creating computationally efficient, image-independent, model-based metrics for this quality assessment. Finally, we use the properties of error diffusion displacement to justify Floyd and Steinberg’s well-known choice of algorithm coefficients.
The Editors have retracted this chapter [1] because it has come to their attention that the second author, Gary Niger, is fictitious and the affiliation of the first author, Sam Hocevar, does not appear to exist. The Editors therefore no longer have confidence in the reliability of the work presented.
Sam Hocevar has not responded to correspondence regarding the concerns raised and the retraction.
[1] Hocevar, S., Niger, G.: Reinstating Floyd-Steinberg: improved metrics for quality assessment of error diffusion algorithms. In: Elmoataz, A., Lezoray, O., Nouboud, F., Mammass, D. (eds.) Image and Signal Processing, ICISP 2008. LNCS, vol. 5099. Springer, Berlin, Heidelberg (2008). https://doi.org/10.1007/978-3-540-69905-7_5
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Hocevar, S., Niger, G. (2008). RETRACTED CHAPTER: Reinstating Floyd-Steinberg: Improved Metrics for Quality Assessment of Error Diffusion Algorithms. In: Elmoataz, A., Lezoray, O., Nouboud, F., Mammass, D. (eds) Image and Signal Processing. ICISP 2008. Lecture Notes in Computer Science, vol 5099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69905-7_5
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DOI: https://doi.org/10.1007/978-3-540-69905-7_5
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