Computation of the CDF for Materials with Fiber Symmetry

CDFs are computed from scattering data which are anisotropic and complete in reciprocal space. Thus the minimum requirement is a 2D SAXS pattern of a material with fiber symmetry taken in normal transmission geometry (cf. p. 37, Fig. 4.1). Required pre-evaluation of the image is described in Chap. 7. 

Transformation of the Pre-evaluated Image. The image /( i2, 3) is projected on the representative plane (iijft) of the fiber scattering  

By means of this procedure our problem is not only reduced from three to two dimensions, but also is the statistical noise in the scattering data considerably reduced. Multiplication by is equivalent to the 2D Laplacian in physical space. It 

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