We present a new algorithm for radiosity, which is linear both in time
and storage with the number of patches in a given scene; that is, the
number of patches is increased by dividing each existing patch into s
maller patches. The new algorithm is based on Integral Geometry and on
the well-known algorithms for Monte Carlo particle transport. It cons
iders the scene embedded in a field of lines, each representing the ex
change between the pairs of points that result from the intersections
of the line with the scene. For a given pair of points, this exchange
is bidirectional. Lines are taken randomly. Both graphical and numeric
al results are given for the proposed algorithm, which is compared wit
h a local Monte Carlo particle transport algorithm.