Integration of polynomials over n-dimensional polyhedra

  title={Integration of polynomials over n-dimensional polyhedra},
  author={Fausto Bernardini},
  journal={Computer-Aided Design},
Explicit formulae and algorithms for computing integrals of polynomials over n-dimensional polyhedra are given. Two different approaches are discussed: one uses a decompositive representation, while the other one uses a boundary representation of the polyhedron. The algorithms are followed by a discussion of the complexity. In the appendix the pseudo-code and some examples of calculation are given. 

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