This paper introduces a new operator that can be used to approximate continuous-domain mathematical morphology on irregularly sampled surfaces. We define a new way of approximating the continuous domain dilation by duplicating and shifting samples according to a flat continuous structuring element. We show that the proposed algorithm can better approximate continuous dilation, and that dilations may be sampled irregularly to achieve a smaller sampling without greatly compromising the accuracy of the result.
CITATION STYLE
Asplund, T., Luengo Hendriks, C. L., Thurley, M. J., & Strand, R. (2017). Mathematical morphology on irregularly sampled signals. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10117 LNCS, pp. 506–520). Springer Verlag. https://doi.org/10.1007/978-3-319-54427-4_37
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