RT info:eu-repo/semantics/article T1 Computing thickness of irregularly-shaped thin walls using a locally semi-implicit scheme with extrapolation to solve the Laplace equation: Application to the right ventricle A1 Merino-Caviedes, Susana A1 Martín-Fernández, Marcos A1 Pérez Rodríguez, María Teresa A1 Martín-Fernández, Miguel Ángel A1 Filgueiras-Rama, David A1 Simmross-Wattenberg, Federico A1 Alberola-López, Carlos K1 Laplace equation, Ghost Node Methods, Right Ventricle, Wall Thickness, Cardiac Magnetic Resonance AB Cardiac Magnetic Resonance (CMR) Imaging is currently considered the gold standard imaging modality in cardiology. However, it is accompanied by a tradeoff between spatial resolution and acquisition time. Providing accurate measures of thin walls relative to the image resolution may prove challenging. One such anatomical structure is the cardiac right ventricle. Methods for measuring thickness of wall-like anatomical structures often rely on the Laplace equation to provide point-to-point correspondences between both boundaries. This work presents limex, a novel method to solve the Laplace equation using ghost nodes and providing extrapolated values, which is tested on three different datasets: a mathematical phantom, a set of biventricular segmentations from CMR images of ten pigs and the database used at the RV Segmentation Challenge held at MICCAI'12. Thickness measurements using the proposed methodology are more accurate than state-of-the-art methods, especially with the coarsest image resolutions, yielding mean L_1 norms of the error between 43.28% and 86.52% lower than the second-best methods on the different test datasets. It is also computationally affordable. Limex has outperformed other state-of-the-art methods in classifying RV myocardial segments by their thickness. SN 0010-4825 YR 2024 FD 2024 LK https://uvadoc.uva.es/handle/10324/75371 UL https://uvadoc.uva.es/handle/10324/75371 LA eng NO Computers in Biology and Medicine, Febrero 2024, vol. 169, p. 107855. NO Producción Científica DS UVaDOC RD 26-abr-2025