The Constrained Run-Length Algorithm (CRLA) is a well-known technique for page segmentation. The algorithm is fast and can be used to partition documents with Manhattan layouts. It is not, however, suited to deal with pages with layouts beyond the Manhattan format, e.g. irregular halftone images embedded in text paragraphs. A modified version of the CRLA, named selective CRLA, is presented in this paper. The selective CRLA is capable of processing documents with both Manhattan and non-Manhattan layouts. The selective CRLA is performed twice with different sets of parameters on a label image derived from the input document image. After both of its executions, the yielded text regions are extracted. The proposed method has been successfully applied to extraction of text from commercial magazine pages with complicated layouts.