Minimum d-convex partition of a multidimensional polyhedron with holes
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BĂŢ, Ion. Minimum d-convex partition of a multidimensional polyhedron with holes. In: Computer Science Journal of Moldova, 2008, nr. 3(48), pp. 347-363. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(48) / 2008 / ISSN 1561-4042 /ISSNe 2587-4330

Minimum d-convex partition of a multidimensional polyhedron with holes
CZU: [519.85+514.1]:004

Pag. 347-363

Băţ Ion
 
Moldova State University
 
 
Disponibil în IBN: 2 decembrie 2013


Rezumat

In a normed space Rn over the field of real numbers R, which is an α-space [36,39], one derives the formula expressing the minimum number of d-convex pieces into which a geometric n-dimensional polyhedron with holes can be partitioned. The problem of partitioning a geometric n-dimensional polyhedron has many theoretical and practical applications in various fields such as computational geometry, image processing, pattern recognition, computer graphics, VLSI engineering, and others [5,10,11,19,21,28,29,31,43]. Mathematics Subject Classification: 68U05, 52A30, 57Q05

Cuvinte-cheie
geometric n-dimensional polyhedron, d-convexity, CW complex dividing