2011/05/07 by Vladimír Klement, Klement, Vladimír, Tomáš Oberhuber +3
Computer Science · Engineering · #35K52 #35K55 #53C44 #74G15 #74S10 #90C33 #Advanced Numerical Analysis Techniques #Computer Graphics and Visualization Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Medical Image Segmentation Techniques #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1105.1429
openalex publication_date 2011/05/07 · openalex created_date 2023/05/17 · openalex updated_date 2026/07/28
We propose and analyze a constrained level-set method for semi-automatic\nimage segmentation. Our level-set model with constraints on the level-set\nfunction enables us to specify which parts of the image lie inside respectively\noutside the segmented objects. Such a-priori information can be expressed in\nterms of upper and lower constraints prescribed for the level-set function.\nConstraints have the same conceptual meaning as initial seeds of the popular\ngraph-cuts based methods for image segmentation. A numerical approximation\nscheme is based on the complementary-finite volumes method combined with the\nProjected successive over-relaxation method adopted for solving constrained\nlinear complementarity problems. The advantage of the constrained level-set\nmethod is demonstrated on several artificial images as well as on cardiac MRI\ndata.\n