Abstract
This paper examines the validity of the two raster sequences distance transform algorithm, originally given by Rosenfeld and Pfaltz for the distance \(d_4\), then extended to the weighted distances by Montanari and Borgefors. We show that the convergence in two passes does not hold for all chamfer masks, and we prove that the chamfer norm condition is a sufficient condition of validity for the algorithm.
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References
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Annex with source code. https://pageperso.lis-lab.fr/~edouard.thiel/DGMM2022/
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Thiel, É. (2022). On the Validity of the Two Raster Sequences Distance Transform Algorithm. In: Baudrier, É., Naegel, B., Krähenbühl, A., Tajine, M. (eds) Discrete Geometry and Mathematical Morphology. DGMM 2022. Lecture Notes in Computer Science, vol 13493. Springer, Cham. https://doi.org/10.1007/978-3-031-19897-7_34
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DOI: https://doi.org/10.1007/978-3-031-19897-7_34
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