An apparatus and method for digitization of surfaces of complex objects such as dental surfaces or plastic parts. While an object is being scanned by translation along a known trajectory, typically in a plane, the line of sight of a distance probe is bent toward an object by a periodic series of reflecting surfaces characterized by normal vectors at distinct non-orthogonal angles with respect to their axis of symmetry. One or more reference objects are scanned using the same translation and mirror positioning systems. Gathered coordinate data are processed to apply angular corrections and combined to form a single distortion-corrected image.