Stereo reconstruction algorithms often fail to properly deal with complex surfaces, because there is not enough image information. To overcome this problem, we propose to guide the reconstruction process using a priori information about the differential geometry of the object surfaces. We use both linear structures such as crest lines or scalar fields such as curvature values to generate a reconstruction of the surface which is consistent with the differential properties. This method improves the accuracy of the reconstruction around the discontinuities and increases the compactness of the surface representation.