- Tytuł:
- Applications of PDES inpainting to magnetic particle imaging and corneal topography
- Autorzy:
-
Andrisani, Andrea
Mininni, Rosa Maria
Mazzia, Francesca
Settanni, Giuseppina
Iurino, Alessandro
Tangaro, Sabina
Tateo, Andrea
Bellotti, Roberto - Powiązania:
- https://bibliotekanauki.pl/articles/255026.pdf
- Data publikacji:
- 2019
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
PDEs inpainting
medical imaging
magnetic particle imaging
radial curvature image
anterior surface of a cornea - Opis:
- In this work we propose a novel application ol Partial Differential Equations (PDEs) inpainting techniques to two medical contexts. The first one concerning recovering of concentration maps for superparamagnetic nanoparticles, used as tracers in the framework of Magnetic Particle Imaging. The analysis is carried out by two set of simulations, with and without adding a source of noise, to show that the inpainted images preserve the main properties of the original ones. The second medical application is related to recovering data of corneal elevation maps in ophthalmology. A new procedure consisting in applying the PDEs inpainting techniques to the radial curvature image is proposed. The images of the anterior corneal surface are properly recovered to obtain an approximation error of the required precision. We compare inpainting methods based on second, third and fourth-order PDEs with standard approximation and interpolation techniques.
- Źródło:
-
Opuscula Mathematica; 2019, 39, 4; 453-482
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł