A New Approach to Mathematical Morphology on One Dimensional Sampled Signals
2016 (English)In: IEEE Proceedings, International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016, 2016Conference paper (Refereed)
We present a new approach to approximate continuous-domain mathematical morphology operators. The approach is applicable to irregularly sampled signals. We define a dilation under this new approach, where samples are duplicated and shifted according to the flat, continuous structuring element. We define the erosion by adjunction, and the opening and closing by composition. These new operators will significantly increase precision in image measurements. Experiments show that these operators indeed approximate continuous-domain operators better than the standard operators on sampled one-dimensional signals, and that they may be applied to signals using structuring elements smaller than the distance between samples. We also show that we can apply the operators to scan lines of a two-dimensional image to filter horizontal and vertical linear structures.
Place, publisher, year, edition, pages
Computer Science Computational Mathematics
IdentifiersURN: urn:nbn:se:uu:diva-309925OAI: oai:DiVA.org:uu-309925DiVA: diva2:1053067
International Conference on Pattern Recognition (ICPR 2016), Cancun, Mexico, 2016
FunderSwedish Research Council, 2014-5983