RT info:eu-repo/semantics/article T1 A Second Order Multi-Stencil Fast Marching Method with a Non-Constant Local Cost Model A1 Merino Caviedes, Susana A1 Cordero Grande, Lucilio A1 Pérez Rodríguez, María Teresa A1 Casaseca de la Higuera, Juan Pablo A1 Martín Fernández, Marcos Antonio A1 Deriche, Rachid A1 Alberola López, Carlos AB The fast marching method is widely employed in several fields of image processing. Some years ago a multi-stencil version (MSFM) was introduced to improve its accuracy by solving the equation for a set of stencils and choosing the best solution at each considered node. The following work proposes a modified numerical scheme for MSFM to take into account the variation of the local cost, which has proven to be second order. The influence of the stencil set choice on the algorithm outcome with respect to stencil orthogonality and axis swapping is also explored, where stencils are taken from neighborhoods of varying radius. The experimental results show that the proposed schemes improve the accuracy of their original counterparts, and that the use of permutation-invariant stencil sets provides robustness against shifted vector coordinates in the stencil set. YR 2019 FD 2019 LK https://uvadoc.uva.es/handle/10324/65601 UL https://uvadoc.uva.es/handle/10324/65601 LA spa NO 9. S. Merino-Caviedes, L. Cordero-Grande, M. T. Pérez Rodríguez, P. Casaseca de la Higuera Marcos Martín-Fernández, R. Deriche, C Alberola-López, A Second Order Multi-Stencil Fast Marching Method with a Non-Constant Local Cost Model, IEEE Trans Image Process. Vol. 28, No. 4, pp. 1967-1979, 2019 DS UVaDOC RD 11-dic-2024