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Orientador(es)
Resumo(s)
Given any two regions A, B in the plane, defined by polygonal (simple, closed and oriented) curves, associated with their respective boundaries, we describe a procedure to compute the symmetric
difference A ⊕ B. The output is also presented in the form of polygonal curves, where in particular the curves describing the union A ∪ B, the intersection A ∩ B, the difference A \ B, and the complement of the difference B \ A, are also obtained. This is related with the two equivalent formulas to compute the symmetric difference, namely A ⊕ B = (A ∪ B) \ (A ∩ B) = (A \ B) ∪ (B \ A).
Descrição
Palavras-chave
Symmetric difference Operation Regions in the plane Oriented closed simple curves Graph with symmetry Intersection Union Set difference
Contexto Educativo
Citação
Gaspar, Miguel & Martins-Ferreira, Nelson. (2013). A procedure for computing the symmetric difference of regions defined by polygonal curves. Journal of Symbolic Computation. 61-62. 10.1016/j.jsc.2013.10.008
Editora
Elsevier BV
Licença CC
Sem licença CC