— The problem of representing environments of a mobile robot has been studied intensively in the past. The predominant approaches for geometric representations are gridbased or line-based maps. In this paper, we consider samplebased maps which use the data points obtained by range scanners to represent the environment. The main advantage of this representation over the other techniques is that it does not impose any a priori structure on the environment. However, range measurements come in large amounts. We present a novel approach for calculating maximum-likelihood subsets of the data points by sub-sampling laser range data. In particular, our method applies a variant of the fuzzy k-means algorithm to find a map that maximizes the likelihood of the original data. Our approach has been implemented and tested on real data gathered with a mobile robot.