منابع مشابه
3D Well-composed Polyhedral Complexes
A binary three-dimensional (3D) image I is well-composed if the boundary surface of its continuous analog is a 2D manifold. In this paper, we present a method to locally “repair” the cubical complex Q(I) (embedded in R3) associated to I to obtain a polyhedral complex P (I) homotopy equivalent to Q(I) such that the boundary surface of P (I) is a 2D manifold (and, hence, P (I) is a well-composed ...
متن کاملWell-Composed Cell Complexes
Well-composed 3D digital images enjoy important topological and geometric properties that turn out to be advantageous for some applications. In this paper, we present a method to transform the cubical complex associated to a 3D binary digital image (which is not generally a well-composed image) into a cell complex that is homotopy equivalent to the first one and whose boundary surface is compos...
متن کامل3D Well-Composed Pictures
complement. For example, in Fig. 1a a continuous analog of the eight-point digital set is the union of the eight cubes. By a segmented image, we mean a digital image in which each point is assigned a unique label that indicates the object In the graph interpretation of a digital image, a face in a to which it belongs. By the foreground (objects) of a segmented surface of a continuous analog cor...
متن کاملMaking 3D Binary Digital Images Well-Composed
A 3D binary digital image is said to be well-composed if and only if the set of points in the faces shared by the voxels of foreground and background points of the image is a surface in R. Wellcomposed images enjoy important topological and geometric properties; in particular, there is only one type of connected component in any well-composed image, as 6-, 14-, 18-, and 26-connected components ...
متن کاملCups Products in Z2-Cohomology of 3D Polyhedral Complexes
Let I = (Z, 26, 6, B) be a 3D digital image, let Q(I) be the associated cubical complex and let ∂Q(I) be the subcomplex of Q(I) whose maximal cells are the quadrangles of Q(I) shared by a voxel of B in the foreground – the object under study – and by a voxel of Z rB in the background – the ambient space. We show how to simplify the combinatorial structure of ∂Q(I) and obtain a 3D polyhedral com...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2015
ISSN: 0166-218X
DOI: 10.1016/j.dam.2014.08.036