This paper presents a method to reconstruct a surface from images of a scene taken by an equiangular catadioptric camera. Such a camera is convenient for several reasons: it is low cost, and almost all visible parts of the scene are projected in a single image. Firstly, the camera parameters and a sparse cloud of 3d points are simultaneously estimated. Secondly, a triangulated surface is robustly estimated from the cloud. Both steps are automatic. Experiments are provided from hundreds of photographs taken by a pedestrian. In contrast to other methods working in similar experimental conditions, ours provides a manifold surface in spite of the difficult (passive and sparse) data.