Weak gravitational lensing observations probe the spectrum and evolution of
density fluctuations and the cosmological parameters that govern them, but
they are currently limited to small fields and subject to selection biases
. We show how the expected signal from large-scale structure arises from th
e contributions from and correlations between individual halos. We determin
e the convergence power spectrum as a function of the maximum halo mass and
so provide the means to interpret results from surveys that lack high-mass
halos either through selection criteria or small fields. Since shot noise
from rare massive halos is mainly responsible for the sample variance below
10', our method should aid our ability to extract cosmological information
from small fields.