In this paper the problem of building and reconstructing geometrical surface models from multiple calibrated images is considered. We build an appropriate statistical 3D model from the images alone and show how this a priori model can be used to automatically reconstruct new instances of the object category from one or several images. The surface reconstruction method is based on a level set representation and one of the main novel contributions lie within the level set framework. Standard methods use either image-correlation or point correspondences to achieve this goal. We show how this framework can be extended to incorporate image curves and apparent contours (i.e. the projections of silhouettes). In order to automatically obtain feature correspondences, we use a statistical shape model for the object category of interest. The model is based on the Active Shape Model using Probabilistic PCA. The scheme is applied to build and automatically reconstruct 3D surface models of faces. T...