hypersphere_surface_test

hypersphere_surface_test, a MATLAB program which calls hypersphere_surface() to investigate a procedure for estimating the location of points on a hypersurface implicitly defined by a characteristic function or by a signed function.

Licensing:

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

Related Data and Programs:

hypersphere_surface, a MATLAB library which illustrates a procedure for estimating the location of a hypersurface defined by a characteristic function or a signed function.

Source Code:

• hypersphere_surface_test.m, calls all the tests.
• hypersphere_surface_test.sh, runs all the tests.
• hypersphere_surface_test.txt, the output file.

• exterior_point_characteristic_test.m, tests exterior_point_characteristic().
• interior_point_characteristic_test.m, tests interior_point_characteristic().

The circle example works with the characteristic function of a circle.

• circle_characteristic.m, a characteristic function for a circle.
• circle_plots.m, creates plots of the surface and R(Theta) function for a circle, using a centered and an offcentered base point.
• circle_centered_plot.png, a plot of the radial distance R as a function of angle THETA for a circle defined by a characteristic function, using a centered base point.
• circle_centered_surface.png, a plot of the transition surface for a circle defined by a characteristic function, using a centered base point.
• circle_offcentered_plot.png, a plot of the radial distance R as a function of angle THETA for a circle defined by a characteristic function, using an offcentered base point.
• circle_offcentered_surface.png, a plot of the transition surface for a circle defined by a characteristic function, using an offcentered base point.

The cube example works with the characteristic function of a cube.

• cube_characteristic.m, a characteristic function for a cube (any dimension).
• cube_plots.m, creates plots of the surface and R(Theta1,Theta2) function for a cube, using a centered and an offcentered base point.
• cube_centered_plot.png, a plot of the radial distance R as a function of the angles for a cube defined by a characteristic function, using a centered base point.
• cube_centered_surface.png, a plot of the transition surface for a cube defined by a characteristic function, using a centered base point.
• cube_offcentered_plot.png, a plot of the radial distance R as a function of the angles for a cube defined by a characteristic function, using an offcentered base point.
• cube_offcentered_surface.png, a plot of the transition surface for a cube defined by a characteristic function, using an offcentered base point.

The sphere example works with the characteristic function of a sphere.

• sphere_characteristic.m, a characteristic function for a sphere (any dimension).
• sphere_plots.m, creates plots of the surface and R(Theta1,Theta2) function for a sphere, using a centered and an offcentered base point.
• sphere_centered_plot.png, a plot of the radial distance R as a function of the angles for a sphere defined by a characteristic function, using a centered base point.
• sphere_centered_surface.png, a plot of the transition surface for a sphere defined by a characteristic function, using a centered base point.
• sphere_offcentered_plot.png, a plot of the radial distance R as a function of the angles for a sphere defined by a characteristic function, using an offcentered base point.
• sphere_offcentered_surface.png, a plot of the transition surface for a sphere defined by a characteristic function, using an offcentered base point.

The triangle example works with the characteristic function of a triangle.

• triangle_characteristic.m, a characteristic function for a triangle.
• triangle_plots.m, displays plots of the surface and R(Theta) function for a triangle, using a centered and an offcentered base point.
• triangle_centered_plot.png, a plot of the radial distance R as a function of angle THETA for a triangle defined by a characteristic function, using a centered base point.
• triangle_centered_surface.png, a plot of the transition surface for a triangle defined by a characteristic function, using a centered base point.
• triangle_offcentered_plot.png, a plot of the radial distance R as a function of angle THETA for a triangle defined by a characteristic function, using an offcentered base point.
• triangle_offcentered_surface.png, a plot of the transition surface for a triangle defined by a characteristic function, using an offcentered base point.