Method and systems are provided for building a structural model of the subsurface. The method may comprise obtaining discretized data that includes surfaces, polylines, points, or combinations thereof. The surfaces in the discretized data are segmented by other surfaces to form a number of segments. Each of the segments are fit to an implicit function. The implicit function for each of the segments is thresholded to create a number of implicit surfaces. The implicit surfaces are intersected to create a number of model surfaces. The structural model is then constructed from the model surfaces.