TIT# Direct mapping of fiber diffraction patterns into reciprocal space AUT# Stribeck, Norbert; N”chel, Ulrich; SOU# J. Appl. Cryst. (2009), 42, submitted 23 Sept 2008 LOC# xv118 CLA# COM# APP# MAT# ABS# Based on the concept of Polanyi (\emph{Z. Physik} (1921), \textbf{7}, 149-180) the mapping of fiber diffraction patterns into the reciprocal space is revisited. The result is a set of concise mapping relations that does not contain approximations any more. This set permits the design of a direct method that, in principle, does not require refinement of mapping parameters even for patterns of tilted fibers. The method is unsuitable for diffuse scattering patterns. If inaccuracies of 2 pixels can be tolerated, a pattern is automatically mapped into reciprocal space within 2 seconds. The method is developed for the processing of the extensive sets of patterns that are recorded in time-resolved wide-angle X-ray diffraction (WAXD) investigations of polymer materials.