| Abstract: |
| In this talk, I will present some convergence results for discrete and semi-discrete operators of sampling type and I will show their applications to digital image processing. In particular, I will use a family of the above operators to solve a medical problem concerning the segmentation of the patent lumen of the aortic vessel. The above problem will be discussed showing two approaches: a deterministic one, that exploits results of approximation theory and one based on artificial intelligence methods through the use of convolutional neural networks. Finally, I will compare them each other by the numerical estimation of some similarity indexes. |
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