“You must obtain the necessary written permission to include material in your article that is owned and held in copyright by a third party, including but not limited to any proprietary text, illustration, table, or other material, including data, audio, video, film stills, screenshots, musical notation, and any supplemental material. ” (http://journalauthors.tandf.co.uk/copyright/usingThirdPartyMaterial.asp)
The instruction of obtaining permission is available on the website of each publisher. The processing procedure takes between minutes and several weeks. In case that you want to use copyrighted figures, tables, and texts, start the application as early as possible.
A fair use of copyrighted material is allowed. This issue is within the Law scope. The 1961 Report of the Register of Copyrights on the General Revision of the U.S. Copyright Law cites examples of activities that courts have regarded as fair use: “quotation of excerpts in a review or criticism for purposes of illustration or comment; quotation of short passages in a scholarly or technical work, for illustration or clarification of the author’s observations; use in a parody of some of the content of the work parodied; summary of an address or article, with brief quotations, in a news report; reproduction by a library of a portion of a work to replace part of a damaged copy; reproduction by a teacher or student of a small part of a work to illustrate a lesson; reproduction of a work in legislative or judicial proceedings or reports; incidental and fortuitous reproduction, in a newsreel or broadcast, of a work located in the scene of an event being reported.” (http://www.copyright.gov/fls/fl102.html)