The spherical Bump kernel is a radial symmetric kernel function depending on the halfwidth \(r\in (0,pi)\). The function value is 0, if the angle is greater then the halfwidth \(r\). Otherwise it is the reciprocal \(\frac{2}{1-\cos r}\) of the relative area of the spherical cap, so that the kernel is a density: it has mean value one over the sphere and its first Legendre coefficient is A(1) = 1, as for every other kernel in this folder.
Syntax
psi = S2BumpKernel(10*degree)
psi = S2BumpKernel('halfwidth',10*degree)Options
| halfwidth | angle at which the kernel function has reduced to half its peak value |
| bandwidth | harmonic degree |