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- W2081493196 abstract "► A new class of discrete surfaces for each adjacency pair in the grid Z 3 . ► The definition mimics that of a combinatorial surface by using discrete plates. ► They form the largest set of surfaces for a framework based on continuous analogues. ► The strong and simplicity 26-surfaces as well as other Jordan objects are examples. ► The number of configurations around a (26, 6)-surface voxel is estimated in 10,580. By the use of certain discrete plates in the role of polygonal faces we mimic the definition of a combinatorial surface to produce, for each adjacency pair ( k , k ¯ ) ≠ ( 6 , 6 ) , k , k ¯ ∈ { 6 , 18 , 26 } , a new family S k k ¯ of discrete surfaces, termed ( k , k ¯ ) -surfaces, in the grid Z 3 that strictly contains several well-known families of surfaces, such as the strong and simplicity surfaces, as well as other objects considered as surfaces in the literature. Moreover, the number of possible configurations in the 26-neighbourhood of a (26, 6)-surface voxel is estimated to rise up to 10,580. In addition, we show that S k k ¯ is the largest set of discrete surfaces that can be defined within the framework for Digital Topology in (Ayala et al., 2002)." @default.
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- W2081493196 date "2012-08-01" @default.
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- W2081493196 title "A plate-based definition of discrete surfaces" @default.
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- W2081493196 doi "https://doi.org/10.1016/j.patrec.2011.11.014" @default.
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