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We present a model-based approach to detecting and describing compositions of buildings with complex rooftops. Previous approaches have dealt with either simpler models or models which lack geometric information. In spite of increasing model complexity, we maintain the computation affordable by effectively using multiple overlapping images. We obtain rooftop hypotheses in 3-D by using 3-D lines and junctions generated from multiple images. Image-derived unedited elevation data is used to assist feature matching, and to generate rough cues of the presence of 3-D structures. Experimental results are shown on complex buildings.