Alpha shapes in kernel density estimation

Erik Carlsson, John Carlsson

For every Gaussian kernel density estimator $f(x)={\sum }_i{a}_i\exp (-\Vert x-x_i{\Vert }^2/2h^2)$ associated to a point cloud $\mathcal{D}=\{x_1,...,x_N\}\subset {\mathbb{R}}^d$, we def…