  In this paper we present a novel particle method for the Vlasov--Poisson
equation. Unlike in conventional particle methods, the particles are not
interpreted as point charges, but as point values of the distribution function.
In between the particles, the distribution function is reconstructed using
mesh-free interpolation. Our numerical experiments confirm that this approach
results in significantly increased accuracy and noise reduction. At the same
time, many benefits of the conventional schemes are preserved.
