hexagon_integrals


hexagon_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of a hexagon.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

hexagon_integrals is available in a MATLAB version and an Octave version.

Related Data and Programs:

hexagon_integrals_test

ball_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit ball in 3D.

circle_integrals, an Octave code which returns the exact value of the integral of any monomial over the surface of the unit circle in 2D.

cube_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit cube in 3D.

disk01_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit disk in 2D.

line_integrals, an Octave code which returns the exact value of the integral of any monomial over the length of the unit line in 1D.

simplex_integrals, an Octave code which returns the exact value of the integral of any monomial over the interior of the unit simplex in M dimensions.

Reference:

  1. SF Bockman,
    Generalizing the Formula for Areas of Polygons to Moments,
    American Mathematical Society Monthly,
    Volume 96, Number 2, February 1989, pages 131-132.
  2. Carsten Steger,
    On the calculation of arbitrary moments of polygons,
    Technical Report FGBV-96-05,
    Forschungsgruppe Bildverstehen, Informatik IX,
    Technische Universitaet Muenchen, October 1996.

Source Code:


Last revised on 31 October 2022.