3D cell image segmentation by modified subjective surface method: Applied Mathematics ´19

Rok, strany: 2020, 147 - 162

In this work, we focused on $3$D image segmentation where the segmented surface is reconstructed by the use of $3$D digital image information and information from thresholded $3$D image in a local neighbourhood. To this end, we applied a mathematical model based on the level set formulation and numerical method which is based on the so-called reduced diamond cell approach. The segmentation approach is based on surface evolution governed by a nonlinear PDE, the modified subjective surface equation. This is done by defining the input to the edge detector function as the weighted sum of norm of presmoothed $3$D image and norm of presmoothed thresholded $3$D image in a local neighbourhood. For the numerical discretization, we used a semi-implicit finite volume scheme. The method was applied to real data representing $3$D microscopy images of cell nuclei within the zebrafish pectoral fin.

ISO 690:

Uba, M., Mikula, K., Krivá, Z., Nguyen, C., Savy, T., Kardash, E., Peyriéras, N. 2020. 3D cell image segmentation by modified subjective surface method: Applied Mathematics ´19. In Tatra Mountains Mathematical Publications, vol. 75, no.1, pp. 147-162. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0010

APA:

Uba, M., Mikula, K., Krivá, Z., Nguyen, C., Savy, T., Kardash, E., Peyriéras, N. (2020). 3D cell image segmentation by modified subjective surface method: Applied Mathematics ´19. Tatra Mountains Mathematical Publications, 75(1), 147-162. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2020-0010

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

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