f(x) = f(x1, x2, . . . , xn)
of degree at most t, the value of the integral of f(x)
on S^(n−1) (divided by the volume of S^(n−1)) is just the average value of f(x)
on the finite set X. As is obvious from the definition, a spherical t-design is better if t is larger, and usually a spherical t-design X is better if the cardinality |X| is smaller.1 This is a subclass of SphericalDesign, used to load a design of a specific number of points and fundamental parameter t.
The T-Designs found here are from the work of Hardin and Sloane. These and other designs can be downloaded directly from their site: http://neilsloane.com/sphdesigns/
If you use any of these designs, please acknowledge this source.
numPoints |
The number of points you'd like in your design. If multiple matches in the design library are found, the |
t |
The desired t parameter. Can be |
dim |
The t-design's dimensions. Only dimension 3 is supported. |
Return the design's t parameter.
See SphericalDesign: examples.