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Representação de Malha de Triângulos em um Grafo Dual

Inicialmente este trabalho foi realizado para a cadeira de Geometria Computacional - PUC-Rio

O que é?

Malha de Triangulos

Grafo Dual

Notas

  • Representação Original da Malha de Triângulos

Tabela de Vertices

V x y
0 x' y'

Tabela de Triângulos

T v0 v1 v2
0 v0' v1' v2'
  • Representação da Malha de Triângulos usando Grafo Dual

Tabela de Vertices

V x y T
0 x' y' t'

Tabela de Triângulos

T v0 v1 v2 t0 t1 t2
0 v0' v1' v2' t0' t1' t2'

Uso

#Leitura do Arquivo Original de Malhas
vertices, triangles = getVerticesAndTrianglesFromFile()

#Mudança de Representação
vertices, triangles = GetDualGraphRepresentation(vertices, triangles)

#Salvamento do Arquivo
SaveDualGraphRepresentationInFile(vertices, triangles)

#Recupera os triângulos adjascentes a um triângulo
GetAdjacentTrianglesOfATriangle(triangles, 2)

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