Mathematical Morphology on Irregularly Sampled Signals

Teo Asplund, Cris L. Luengo Hendriks, Matthew J. Thurley, Robin Strand

Abstract: 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.